## Publications

### Click here to see my pubs on Mendeley

### Student Doctoral Dissertations

- S. Tahernejad, “Two-stage mixed integer stochastic bilevel linear optimization,” PhD Thesis, 2019. [Bibtex]
`@phdthesis{Tahernejad2019, author = {Tahernejad, S.}, school = {Lehigh University}, title = {Two-stage Mixed Integer Stochastic Bilevel Linear Optimization}, year = {2019} }`

- S. Bolusani, “Parametric valid inequalities and their application in multilevel optimization,” PhD Thesis, 2019 (Expected). [Bibtex]
`@phdthesis{Bolusani2021, author = {Bolusani, S.}, school = {Lehigh University}, title = {Parametric Valid Inequalities and Their Application in Multilevel Optimization}, year = {2019 (Expected)} }`

- A. Bulut, “Computational Methods for Discrete Conic Optimization Problems,” PhD Thesis, 2017. [Bibtex]
`@phdthesis{Bulut2017, author = {Bulut, A.}, school = {Lehigh}, title = {{Computational Methods for Discrete Conic Optimization Problems}}, year = {2017} }`

- A. Hassanzadeh, “Two-Stage Stochastic Mixed Integer Optimization,” PhD Thesis, 2015. [Bibtex]
`@phdthesis{Hassanzadeh2015, author = {Hassanzadeh, A.}, school = {Lehigh}, title = {{Two-Stage Stochastic Mixed Integer Optimization}}, year = {2015} }`

- S. T. DeNegre, “Interdiction and Discrete Bilevel Linear Programming,” PhD Thesis, 2011. [PDF] [Bibtex]
`@phdthesis{SDeNegre2011, author = {DeNegre, S.T.}, school = {Lehigh University}, title = {{Interdiction and Discrete Bilevel Linear Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ScottDeNegreDissertation11.pdf}, year = {2011} }`

- A. Mahajan, “On Selecting Disjunctions in Mixed Integer Linear Programming,” PhD Thesis, 2009. [PDF] [Bibtex]
`@phdthesis{Mahajan2009, author = {Mahajan, A.}, school = {Lehigh University}, title = {{On Selecting Disjunctions in Mixed Integer Linear Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/AshutoshMahajanDissertation09.pdf}, year = {2009} }`

- Z. Akca, “Integrated Location, Routing, and Scheduling Problems: Models and Algorithms,” PhD Thesis, 2009. [PDF] [Bibtex]
`@phdthesis{Akca2009, author = {Akca, Z.}, school = {Lehigh University}, title = {{Integrated Location, Routing, and Scheduling Problems: Models and Algorithms}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ZelihaAkcaDissertation09.pdf}, year = {2009} }`

- M. V. Galati, “Decomposition in Integer Programming,” PhD Thesis, 2009. [PDF] [Bibtex]
`@phdthesis{Galati2009, author = {Galati, M.V.}, school = {Lehigh University}, title = {{Decomposition in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MatthewGalatiDissertation09.pdf}, year = {2009} }`

- M. Güzelsoy, “Dual Methods in Mixed Integer Linear Programming,” PhD Thesis, 2009. [PDF] [Bibtex]
`@phdthesis{Guzelsoy2009, author = {G{\"{u}}zelsoy, M.}, school = {Lehigh University}, title = {{Dual Methods in Mixed Integer Linear Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MenalGuzelsoyDissertation09.pdf}, year = {2009} }`

- Y. Xu, “Scalable Algorithms for Parallel Tree Search,” PhD Thesis, 2007. [PDF] [Bibtex]
`@phdthesis{Xu2007, author = {Xu, Y.}, school = {Lehigh University}, title = {{Scalable Algorithms for Parallel Tree Search}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/YanXuDissertation07.pdf}, year = {2007} }`

### Software

- M. Towhidi, D. Orban, and T. K. Ralphs, CyLP 0.91, 2021. [Software] [DOI] [Bibtex]
`@Misc{ TowOrbRal21, author = {Towhidi, M. and Orban, D. and Ralphs, T.K.}, doi = {10.5281/zenodo.4679739}, title = {{CyLP 0.91}}, software = {https://github.com/coin-or/CyLP}, year = {2021} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, BiCEPs Version 0.99Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ XuRalLadSal20b, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.5281/zenodo.2595520}, publisher = {COR@L Laboratory, Lehigh University}, title = {{BiCEPs Version 0.99}}, software = {https://github.com/coin-or/CHiPPS-ALPS}, year = {2020} }`

- T. K. Ralphs and A. Bulut, GrUMPy Version 0.95Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ RalBul20a, author = {Ralphs, T.K. and Bulut, A.}, doi = {10.5281/zenodo.3750218}, publisher = {COR@L Laboratory, Lehigh University}, title = {{GrUMPy Version 0.95}}, software = {https://github.com/coin-or/GrUMPy}, year = {2020} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, BLIS Version 0.95Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ XuRalLadSal20a, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.5281/zenodo.2595523}, publisher = {COR@L Laboratory, Lehigh University}, title = {{BLIS Version 0.95}}, software = {https://github.com/coin-or/CHiPPS-BLIS}, year = {2020} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, ALPS Version 2.0Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ XuRalLadSal20, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.5281/zenodo.2576602}, publisher = {COR@L Laboratory, Lehigh University}, title = {{ALPS Version 2.0}}, software = {https://github.com/coin-or/CHiPPS-ALPS}, year = {2020} }`

- S. T. DeNegre, S. Tahernejad, and T. K. Ralphs, MiBS Version 1.2Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ DeNTahRal20, author = {DeNegre, S.T. and Tahernejad, S. and Ralphs, T.K.}, doi = {10.5281/zenodo.3560359}, publisher = {COR@L Laboratory, Lehigh University}, title = {{MiBS Version 1.2}}, software = {https://github.com/coin-or/MiBS}, year = {2020} }`

- M. V. Galati, T. K. Ralphs, and J. Wang, Dip Version 0.95Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ GalRalWan20, author = {Galati, M.V. and Ralphs, T.K. and Wang, J.}, doi = {10.5281/zenodo.3609339}, publisher = {COR@L Laboratory, Lehigh University}, title = {{Dip Version 0.95}}, software = {http://github.com/coin-or.org/Dip}, year = {2020} }`

- T. K. Ralphs, S. Vigerske, and A. Waechter, COIN-OR Build Tools 0.8Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ RalVigWae20, author = {Ralphs, T.K. and Vigerske, S. and Waechter, A.}, doi = {10.5281/zenodo.3632431}, publisher = {COR@L Laboratory, Lehigh University}, title = {{COIN-OR Build Tools 0.8}}, software = {https://github.com/coin-or-tools/BuildTools/}, year = {2020} }`

- T. K. Ralphs, CuPPy Version 0.96Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ Ral20, author = {Ralphs, T.K.}, doi = {10.5281/zenodo.3820876}, publisher = {COR@L Laboratory, Lehigh University}, title = {{CuPPy Version 0.96}}, software = {https://github.com/tkralphs/CuPPy}, year = {2020} }`

- T. K. Ralphs, M. Guzelsoy, and A. Mahajan, SYMPHONY Version 5.6Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ RalGuzMah20, author = {Ralphs, T.K. and Guzelsoy, M. and Mahajan, A.}, doi = {10.5281/zenodo.2656802}, publisher = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.6}}, software = {https://github.com/coin-or/SYMPHONY/}, year = {2020} }`

- T. K. Ralphs and A. Bulut, GiMPy Version 2.1Cor@l laboratory, lehigh university, 2020. [Software] [DOI] [Bibtex]
`@Misc{ RalBul20, author = {Ralphs, T.K. and Bulut, A.}, doi = {10.5281/zenodo.3750217}, publisher = {COR@L Laboratory, Lehigh University}, title = {{GiMPy Version 2.1}}, software = {https://github.com/coin-or/GiMPy}, year = {2020} }`

- T. K. Ralphs and A. Bulut, BLImPy Version 2.0Cor@l laboratory, lehigh university, 2019. [Software] [DOI] [Bibtex]
`@Misc{ RalBul19, author = {Ralphs, T.K. and Bulut, A.}, doi = {10.5281/zenodo.3609324}, publisher = {COR@L Laboratory, Lehigh University}, title = {{BLImPy Version 2.0}}, software = {https://github.com/tkralphs/BLImPy}, year = {2019} }`

- A. Bulut and T. K. Ralphs, DisCO Version 1.0Cor@l laboratory, lehigh university, 2018. [Software] [DOI] [Bibtex]
`@Misc{ BulRal18, author = {Bulut, A. and Ralphs, T.K.}, doi = {10.5281/zenodo.2691031}, publisher = {COR@L Laboratory, Lehigh University}, title = {{DisCO Version 1.0}}, software = {https://github.com/coin-or/DisCO}, year = {2018} }`

- A. Bulut and T. K. Ralphs, OSI-CONIC 1.0Cor@l laboratory, lehigh university, 2017. [Software] [DOI] [Bibtex]
`@Misc{ BulRal17, author = {Bulut, A. and Ralphs, T.K.}, doi = {10.5281/zenodo.1147182}, publisher = {COR@L Laboratory, Lehigh University}, title = {{OSI-CONIC 1.0}}, software = {https://github.com/aykutbulut/OSI-CONIC}, year = {2017} }`

- A. Bulut and T. K. Ralphs, CGL-CONIC 1.0Cor@l laboratory, lehigh university, 2017. [Software] [DOI] [Bibtex]
`@Misc{ BulRal17b, author = {Bulut, A. and Ralphs, T.K.}, doi = {10.5281/zenodo.1147189}, publisher = {COR@L Laboratory, Lehigh University}, title = {{CGL-CONIC 1.0}}, software = {https://github.com/aykutbulut/CGL-CONIC}, year = {2017} }`

- A. Bulut and T. K. Ralphs, COLA 1.0Cor@l laboratory, lehigh university, 2017. [Software] [DOI] [Bibtex]
`@Misc{ BulRal17a, author = {Bulut, A. and Ralphs, T.K.}, doi = {10.5281/zenodo.1147184}, publisher = {COR@L Laboratory, Lehigh University}, title = {{COLA 1.0}}, software = {https://github.com/aykutbulut/COLA}, year = {2017} }`

- T. K. et.al. Ralphs, COIN-OR Optimization Suite 1.9Cor@l laboratory, lehigh university, 2016. [Software] [DOI] [Bibtex]
`@Misc{ Ral16, author = {et.al. Ralphs, T.K.}, doi = {10.5281/zenodo.246111}, publisher = {COR@L Laboratory, Lehigh University}, title = {{COIN-OR Optimization Suite 1.9}}, software = {https://github.com/coin-or/COIN-OR-OptimizationSuite}, year = {2016} }`

- A. Bulut and T. K. Ralphs, DietCOLACor@l laboratory, lehigh university, 2015. [Software] [Bibtex]
`@Misc{ BulRal15, author = {Bulut, A. and Ralphs, T.K.}, publisher = {COR@L Laboratory, Lehigh University}, title = {{DietCOLA}}, software = {https://github.com/aykutbulut/DietCOLA}, year = {2015} }`

### Papers and Tech Reports

### 2023

- S. Coniglio and T. K. Ralphs, “Bound-optimal Cuts: On the Generation of Cuts Which Maximize the Bound Improvement,” Working Paper, COR@L Laboratory, Lehigh University 2023. [Bibtex]
`@TechReport{ ConRal23, author = {Coniglio, S. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Bound-optimal Cuts: On the Generation of Cuts Which Maximize the Bound Improvement}}, year = {2023} }`

- S. Fallah, T. K. Ralphs, and N. L. Boland, “On the Relationship Between the Value Function and the Efficient Frontier of a Mixed Integer Linear Optimization Problem,” COR@L Laboratory, Lehigh University, 22T-005-R2, 2023. [PDF] [Bibtex]
`@TechReport{ FalRalBol23, archiveprefix = {arXiv}, arxivid = {2303.00785}, author = {Fallah, Samira and Ralphs, Ted K. and Boland, Natashia L}, eprint = {2303.00785}, institution = {COR@L Laboratory, Lehigh University}, number = {22T-005-R2}, title = {{On the Relationship Between the Value Function and the Efficient Frontier of a Mixed Integer Linear Optimization Problem}}, url = {https://arxiv.org/abs/2303.00785}, year = {2023} }`

- T. K. Ralphs, “Duality, Branch and Bound, and Parametric Valid Inequalities,” Working Paper, COR@L Laboratory, Lehigh University 2023. [PDF] [Bibtex]
`@TechReport{ Ral23, author = {Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Duality, Branch and Bound, and Parametric Valid Inequalities}}, url = {http://coral.ie.lehigh.edu/~ted/files/talks/ParametricInequalities-INFORMS17.pdf}, year = {2023} }`

- T. K. Ralphs, M. Guzelsoy, and A. Mahajan, “SYMPHONY Version 5.7 User’s Manual,” COR@L Laboratory, Lehigh University 2023. [PDF] [Bibtex]
`@TechReport{ RalGuzMah23, author = {Ralphs, T.K. and Guzelsoy, M. and Mahajan, A.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.7 User's Manual}}, url = {https://coin-or.github.io/SYMPHONY/doc/SYMPHONY-5.7.1-Manual.pdf}, year = {2023} }`

### 2022

- S. Bolusani and T. K. Ralphs, “A Framework for Generalized Benders’ Decomposition and Its Application to Multilevel Optimization,” Mathematical programming series b, vol. 196, p. 389––426, 2022. [PDF] [DOI] [Bibtex]
`@Article{ BolRal22, archiveprefix = {arXiv}, arxivid = {2104.06496}, author = {Bolusani, S. and Ralphs, T.K.}, doi = {10.1007/s10107-021-01763-7}, eprint = {2104.06496}, institution = {COR@L Laboratory Report 20T-001-R2, Lehigh University}, journal = {Mathematical Programming Series B}, pages = {389----426}, title = {{A Framework for Generalized Benders' Decomposition and Its Application to Multilevel Optimization}}, url = {https://arxiv.org/abs/2104.06496}, volume = {196}, year = {2022} }`

- T. K. Ralphs, M. Guzelsoy, and A. Mahajan, “SYMPHONY Version 5.6 User’s Manual,” COR@L Laboratory, Lehigh University 2022. [Software] [PDF] [Bibtex]
`@TechReport{ RalGuzMah22, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Guzelsoy, M. and Mahajan, A.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.6 User's Manual}}, url = {https://coin-or.github.io/SYMPHONY/doc/SYMPHONY-5.6.19-Manual.pdf}, year = {2022} }`

- S. Xueyu, O. A. Prokopyev, and T. K. Ralphs, “Mixed Integer Bilevel Optimization with a k-optimal Follower: A Hierarchy of Bounds,” Mathematical programming computation, vol. 15, p. 1––51, 2022. [PDF] [DOI] [Bibtex]
`@Article{ XueProRal22, author = {Xueyu, Shi and Prokopyev, Oleg A. and Ralphs, Ted K.}, doi = {10.1007/s12532-022-00227-z}, institution = {COR@L Laboratory, Lehigh University}, journal = {Mathematical Programming Computation}, pages = {1----51}, title = {{Mixed Integer Bilevel Optimization with a k-optimal Follower: A Hierarchy of Bounds}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/HierarchyOfBounds20.pdf}, volume = {15}, year = {2022} }`

### 2021

- A. Bulut and T. K. Ralphs, “On the Complexity of Inverse Mixed Integer Linear Optimization,” Siam journal on optimization, vol. 31, p. 3014–3043, 2021. [Software] [PDF] [DOI] [Bibtex]
`@Article{ BulRal21, software = {https://github.com/tkralphs/CuPPy}, archiveprefix = {arXiv}, arxivid = {2104.09002}, author = {Bulut, A. and Ralphs, T.K.}, doi = {10.1137/20M1377369}, eprint = {2104.09002}, institution = {COR@L Laboratory Report 15T-001-R5, Lehigh University}, journal = {SIAM Journal on Optimization}, pages = {3014--3043}, title = {{On the Complexity of Inverse Mixed Integer Linear Optimization}}, url = {https://arxiv.org/abs/2104.09002}, volume = {31}, year = {2021} }`

- A. Gleixner, G. Hendel, G. Gamrath, T. Achterberg, M. Bastubbe, T. Berthold, P. Christophel, K. Jarck, T. Koch, J. Linderoth, M. Luebbecke, H. D. Mittelmann, D. Ozyurt, T. K. Ralphs, Y. Shinano, and D. Salvagnin, “MIPLIB 2017: Data-Driven Compilation of the 6th Mixed-Integer Programming Library,” Mathematical programming computation, vol. 13, p. 443–490, 2021. [PDF] [DOI] [Bibtex]
`@Article{ GleHenGamAchBasBerChrJarKocLin.ea21, author = {Gleixner, Ambros and Hendel, Gregor and Gamrath, Gerald and Achterberg, Tobias and Bastubbe, Michael and Berthold, Timo and Christophel, Philipp and Jarck, Kati and Koch, Thorsten and Linderoth, Jeffrey and Luebbecke, Marco and Mittelmann, Hans D. and Ozyurt, Derya and Ralphs, Ted K. and Shinano, Yuji and Salvagnin, Domenico}, doi = {10.1007/s12532-020-00194-3}, institution = {Zuse Institute Berlin}, journal = {Mathematical Programming Computation}, pages = {443--490}, title = {{MIPLIB 2017: Data-Driven Compilation of the 6th Mixed-Integer Programming Library}}, url = {http://www.optimization-online.org/DB{\_}FILE/2019/07/7285.pdf}, volume = {13}, year = {2021} }`

- T. K. Ralphs, “Separation, Inverse Optimization, and Decomposition,” Working Paper, COR@L Laboratory, Lehigh University 2021. [PDF] [Bibtex]
`@TechReport{ Ral21, author = {Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Separation, Inverse Optimization, and Decomposition}}, url = {http://coral.ie.lehigh.edu/~ted/files/talks/InversePrimalSeparation-PKU18.pdf}, year = {2021} }`

### 2020

- S. Bolusani, S. Coniglio, T. K. Ralphs, and S. Tahernejad, “A Unified Framework for Multistage Mixed Integer Linear Optimization,” in Bilevel optimization: advances and next challenges, S. Dempe and A. Zemkoho, Eds., Springer, 2020, p. 513–560. [PDF] [DOI] [Bibtex]
`@InCollection{ BolConRalTah20, archiveprefix = {arXiv}, arxivid = {2104.09003}, author = {Bolusani, S. and Coniglio, S. and Ralphs, T.K. and Tahernejad, S.}, booktitle = {Bilevel Optimization: Advances and Next Challenges}, chapter = {18}, doi = {10.1007/978-3-030-52119-6}, editor = {Dempe, S. and Zemkoho, A.}, eprint = {2104.09003}, isbn = {978-3-030-52118-9}, pages = {513--560}, publisher = {Springer}, title = {{A Unified Framework for Multistage Mixed Integer Linear Optimization}}, url = {https://arxiv.org/abs/2104.09003}, year = {2020} }`

- S. Tahernejad and T. K. Ralphs, “Valid Inequalities for Mixed Integer Bilevel Optimization Problems,” COR@L Laboratory, Lehigh University, 20T-013, 2020. [Software] [PDF] [Bibtex]
`@TechReport{ TahRal20, software = {https://github.com/coin-or/MibS}, author = {Tahernejad, S. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, number = {20T-013}, title = {{Valid Inequalities for Mixed Integer Bilevel Optimization Problems}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MibSCuts20.pdf}, year = {2020} }`

- S. Tahernejad, T. K. Ralphs, and S. T. DeNegre, “A Branch-and-Cut Algorithm for Mixed Integer Bilevel Linear Optimization Problems and Its Implementation,” Mathematical programming computation, vol. 12, p. 529–568, 2020. [Software] [PDF] [DOI] [Bibtex]
`@Article{ TahRalDeN20, software = {https://github.com/coin-or/MibS}, archiveprefix = {arXiv}, arxivid = {2104.09010}, author = {Tahernejad, S. and Ralphs, T.K. and DeNegre, S.T.}, doi = {10.1007/s12532-020-00183-6}, eprint = {2104.09010}, journal = {Mathematical Programming Computation}, pages = {529--568}, title = {{A Branch-and-Cut Algorithm for Mixed Integer Bilevel Linear Optimization Problems and Its Implementation}}, url = {https://arxiv.org/abs/2104.09010}, volume = {12}, year = {2020} }`

### 2019

- S. J. Maher, T. K. Ralphs, and Y. Shinano, “Assessing the Effectiveness of (Parallel) Branch-and-Bound Algorithms,” COR@L Laboratory, Lehigh University, 19T-017, 2019. [PDF] [Bibtex]
`@TechReport{ MahRalShi19, author = {Maher, S.J. and Ralphs, T.K. and Shinano, Y.}, institution = {COR@L Laboratory, Lehigh University}, number = {19T-017}, title = {{Assessing the Effectiveness of (Parallel) Branch-and-Bound Algorithms}}, url = {https://arxiv.org/abs/2104.10025}, year = {2019} }`

### 2018

- T. K. Ralphs, Y. Shinano, T. Berthold, and T. Koch, “Parallel Solvers for Mixed Integer Linear Programing,” in Handbook of parallel constraint reasoning, Y. Hamadi and L. Sais, Eds., Springer berlin / heidelberg, 2018, p. 283–336. [PDF] [DOI] [Bibtex]
`@InCollection{ RalShiBerKoc18, author = {Ralphs, T.K. and Shinano, Y. and Berthold, T. and Koch, T.}, booktitle = {Handbook of Parallel Constraint Reasoning}, chapter = {8}, doi = {10.1007/978-3-319-63516-3_8}, editor = {Hamadi, Y and Sais, L}, organization = {COR@L Laboratory, Lehigh University}, pages = {283--336}, publisher = {Springer Berlin / Heidelberg}, title = {{Parallel Solvers for Mixed Integer Linear Programing}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ParallelMILPSurvey16.pdf}, year = {2018} }`

- M. Walter and T. K. Ralphs, “Algorithms for Inverse Mixed Integer Programming,” Working Paper, COR@L Laboratory, Lehigh University 2018. [Bibtex]
`@TechReport{ WalRal18, author = {Walter, M. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Algorithms for Inverse Mixed Integer Programming}}, year = {2018} }`

### 2017

- A. Bulut and T. K. Ralphs, “Complexity for Mathematical Programs,” Working Paper, COR@L Laboratory, Lehigh University 2017. [PDF] [Bibtex]
`@TechReport{ BulRal17, author = {Bulut, A. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Complexity for Mathematical Programs}}, url = {http://coral.ie.lehigh.edu/~ted/files/talks/MIP12.pdf}, year = {2017} }`

- A. Bulut and T. K. Ralphs, “DisCO: An Open Source Solver for Discrete Conic Optimization,” Working Paper, COR@L Laboratory, Lehigh University 2017. [Software] [PDF] [Bibtex]
`@TechReport{ BulRal17a, software = {https://github.com/aykutbulut/DisCO}, author = {Bulut, A. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{DisCO: An Open Source Solver for Discrete Conic Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/talks/DisCO-INFORMS17.pdf}, year = {2017} }`

- S. T. DeNegre and T. K. Ralphs, “Computational Experience Solving Mixed Integer Interdiction Problems,” Working Paper, COR@L Laboratory, Lehigh University 2017. [Bibtex]
`@TechReport{ DeNRal17, author = {DeNegre, S.T. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Computational Experience Solving Mixed Integer Interdiction Problems}}, year = {2017} }`

- M. V. Galati and T. K. Ralphs, “DIP: A Framework for Decomposition in Integer Programming,” Working Paper, COR@L Laboratory, Lehigh University 2017. [Software] [PDF] [Bibtex]
`@TechReport{ GalRal17, software = {https://github.com/coin-or/Dip}, author = {Galati, M.V. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{DIP: A Framework for Decomposition in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/talks/DecompCSIRO11.pdf}, year = {2017} }`

- M. Miltenberger, T. K. Ralphs, and D. Steffy, “Exploring the Numerics of Branch-and-Cut for Mixed Integer Linear Optimization,” in Operations research proceedings: 2017, 2017. [PDF] [Bibtex]
`@InProceedings{ MilRalSte17, author = {Miltenberger, M. and Ralphs, T.K. and Steffy, D.}, booktitle = {Operations Research Proceedings: 2017}, publisher = {Springer Berlin / Heidelberg}, title = {{Exploring the Numerics of Branch-and-Cut for Mixed Integer Linear Optimization}}, url = {https://opus4.kobv.de/opus4-zib/files/6464/numerics{\_}in{\_}mip.pdf}, year = {2017} }`

- M. E. Pfetsch and T. K. Ralphs, “Towards More “Scientific” Computations in Mathematical Optimization,” Working Paper, COR@L Laboratory, Lehigh University 2017. [Bibtex]
`@TechReport{ PfeRal17, author = {Pfetsch, M.E. and Ralphs, T.K.}, institution = {Working Paper, COR@L Laboratory, Lehigh University}, title = {{Towards More "Scientific" Computations in Mathematical Optimization}}, year = {2017} }`

### 2016

- P. Belotti, J. C. Góez, I. Pólik, T. K. Ralphs, and T. Terlaky, “A Complete Characterization of Disjunctive Conic Cuts for Mixed Integer Second Order Cone Optimization,” Discrete optimization, vol. 24, 2016. [Software] [PDF] [DOI] [Bibtex]
`@Article{ BelGoePolRalTer16, abstract = {{\textcopyright} 2016 Elsevier B.V. We study the convex hull of the intersection of a disjunctive set defined by parallel hyperplanes and the feasible set of a mixed integer second order cone optimization (MISOCO) problem. We extend our prior work on disjunctive conic cuts (DCCs), which has thus far been restricted to the case in which the intersection of the hyperplanes and the feasible set is bounded. Using a similar technique, we show that one can extend our previous results to the case in which that intersection is unbounded. We provide a complete characterization in closed form of the conic inequalities required to describe the convex hull when the hyperplanes defining the disjunction are parallel.}, software = {https://github.com/aykutbulut/CGL-CONIC}, author = {Belotti, P. and G{\'o}ez, J.C. and P{\'{o}}lik, I. and Ralphs, T.K. and Terlaky, T.}, doi = {10.1016/j.disopt.2016.10.001}, issn = {15725286}, journal = {Discrete Optimization}, keywords = {Disjunctive conic cuts,Disjunctive programming,Mixed integer optimization,Second order cone optimization}, title = {{A Complete Characterization of Disjunctive Conic Cuts for Mixed Integer Second Order Cone Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ConicCuts14.pdf}, volume = {24}, year = {2016} }`

- Y. Zhang, L. V. Snyder, T. K. Ralphs, and Z. Xue, “The Competitive Facility Location Problem Under Disruption Risks,” Transportation research part e: logistics and transportation review, vol. 93, 2016. [PDF] [DOI] [Bibtex]
`@Article{ ZhaSnyRalXue16, abstract = {{\textcopyright} 2016 Elsevier Ltd Two players sequentially locate a fixed number of facilities, competing to capture market share. Facilities face disruption risks, and each customer patronizes the nearest operational facility, regardless of who operates it. The problem therefore combines competitive location and location with disruptions. This combination has been absent from the literature. We model the problem as a Stackelberg game in which the leader locates facilities first, followed by the follower, and formulate the leader's decision problem as a bilevel optimization problem. A variable neighborhood decomposition search heuristic which includes variable fixing and cut generation is developed. Computational results suggest that high quality solutions can be found quickly. Interesting managerial insights are drawn.}, author = {Zhang, Y. and Snyder, L.V. and Ralphs, T.K. and Xue, Z.}, doi = {10.1016/j.tre.2016.07.002}, issn = {13665545}, journal = {Transportation Research Part E: Logistics and Transportation Review}, keywords = {Bilevel optimization,Competitive location,Facility disruptions,Local search,Variable neighborhood search}, title = {{The Competitive Facility Location Problem Under Disruption Risks}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CFLPD16.pdf}, volume = {93}, year = {2016} }`

### 2015

- P. Belotti, J. C. Góez, I. Pólik, T. K. Ralphs, and T. Terlaky, “A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization,” in Numerical analysis and optimization, 2015. [PDF] [DOI] [Bibtex]
`@InProceedings{ BelGoePolRalTer15, abstract = {{\textcopyright} Springer International Publishing Switzerland 2015. We study the convex hull of the intersection of a convex set E and a disjunctive set. This intersection is at the core of solution techniques for Mixed Integer Convex Optimization.We prove that if there exists a cone K (resp., a cylinder C) that has the same intersection with the boundary of the disjunction as E, then the convex hull is the intersection of E with K (resp., C). The existence of such a cone (resp., a cylinder) is difficult to prove for general conic optimization. We prove existence and unicity of a second order cone (resp., a cylinder), when E is the intersection of an affine space and a second order cone (resp., a cylinder). We also provide a method for finding that cone, and hence the convex hull, for the continuous relaxation of the feasible set of a Mixed Integer Second Order Cone Optimization (MISOCO) problem, assumed to be the intersection of an ellipsoid with a general linear disjunction. This cone provides a new conic cut for MISOCO that can be used in branch-and-cut algorithms for MISOCO problems.}, author = {Belotti, P. and G{\'o}ez, J.C. and P{\'{o}}lik, I. and Ralphs, T.K. and Terlaky, T.}, booktitle = {Numerical Analysis and Optimization}, doi = {10.1007/978-3-319-17689-5_1}, isbn = {9783319176888}, issn = {21941017}, keywords = {Conic cuts,Mixed integer optimization,Second order cone Optimization}, title = {{A Conic Representation of the Convex Hull of Disjunctive Sets and Conic Cuts for Integer Second Order Cone Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ConicCuts12.pdf}, volume = {134}, year = {2015} }`

- T. K. Ralphs, “Data Science and Analytics,” Industrial and Systems Engineering Report 15T-009, Lehigh University 2015. [PDF] [Bibtex]
`@TechReport{ Ral15, author = {Ralphs, T.K.}, institution = {Industrial and Systems Engineering Report 15T-009, Lehigh University}, title = {{Data Science and Analytics}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/dataScience.pdf}, year = {2015} }`

### 2014

- A. Hassanzadeh and T. K. Ralphs, “On the Value Function of a Mixed Integer Linear Optimization Problem and an Algorithm for Its Construction,” COR@L Laboratory, Lehigh University, 14T-004, 2014. [Software] [PDF] [Bibtex]
`@TechReport{ HasRal14, software = {https://github.com/tkralphs/ValueFunction}, author = {Hassanzadeh, A. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, number = {14T-004}, title = {{On the Value Function of a Mixed Integer Linear Optimization Problem and an Algorithm for Its Construction}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MILPValueFunction14.pdf}, year = {2014} }`

- A. Hassanzadeh and T. K. Ralphs, “A Generalization of Benders’ Algorithm for Two-Stage Stochastic Optimization Problems with Mixed Integer Recourse,” COR@L Laboratory, Lehigh University, 14T-005, 2014. [Software] [PDF] [Bibtex]
`@TechReport{ HasRal14a, software = {https://github.com/coin-or/SYMPHONY}, author = {Hassanzadeh, A. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, number = {14T-005}, title = {{A Generalization of Benders' Algorithm for Two-Stage Stochastic Optimization Problems with Mixed Integer Recourse}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/SMILPGenBenders14.pdf}, year = {2014} }`

- A. Lodi, T. K. Ralphs, and G. Woeginger, “Bilevel Programming and the Separation Problem,” Mathematical programming, vol. 148, p. 437–458, 2014. [PDF] [DOI] [Bibtex]
`@Article{ LodRalWoe14, author = {Lodi, A. and Ralphs, T.K. and Woeginger, G.}, doi = {10.1007/s10107-013-0700-x}, journal = {Mathematical Programming}, pages = {437--458}, title = {{Bilevel Programming and the Separation Problem}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BilevelSeparation12.pdf}, volume = {148}, year = {2014} }`

### 2013

- P. Belotti, J. C. Goez, I. Polik, T. K. Ralphs, and T. Terlaky, “On Families of Quadratic Surfaces Having Fixed Intersection with Two Hyperplanes,” Discrete applied mathematics, vol. 161, p. 2778–2793, 2013. [PDF] [DOI] [Bibtex]
`@Article{ BelGoePolRalTer13, author = {Belotti, P. and Goez, J.C. and Polik, I. and Ralphs, T.K. and Terlaky, T.}, doi = {10.1016/j.dam.2013.05.017}, journal = {Discrete Applied Mathematics}, pages = {2778--2793}, title = {{On Families of Quadratic Surfaces Having Fixed Intersection with Two Hyperplanes}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/Quadratic11.pdf}, volume = {161}, year = {2013} }`

- K. L. Hoffman and T. K. Ralphs, “Integer and Combinatorial Optimization,” 2013. [PDF] [DOI] [Bibtex]
`@TechReport{ HofRal13, author = {Hoffman, K.L. and Ralphs, T.K.}, booktitle = {Encyclopedia of Operations Research and Management Science}, doi = {10.1007/978-1-4419-1153-7_129}, pages = {771--783}, publisher = {Springer}, title = {{Integer and Combinatorial Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ICO-EORMS11.pdf}, year = {2013} }`

- T. K. Ralphs, M. Güzelsoy, and A. Mahajan, “SYMPHONY Version 5.5 User’s Manual,” COR@L Laboratory, Lehigh University 2013. [Software] [PDF] [Bibtex]
`@TechReport{ RalGuzMah13, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and G{\"u}zelsoy, M. and Mahajan, A.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.5 User's Manual}}, url = {http://www.coin-or.org/SYMPHONY/doc/SYMPHONY-5.5.0-Manual.pdf}, year = {2013} }`

- J. Wang and T. K. Ralphs, “Computational Experience with Hypergraph-based Methods for Automatic Decomposition in Discrete Optimization,” in Proceedings of the conference on constraint programming, artificial intelligence, and operations research, 2013, p. 394–402. [Software] [PDF] [DOI] [Bibtex]
`@InProceedings{ WanRal13, abstract = {Branch-and-price (BAP) algorithms based on Dantzig-Wolfe decomposition have shown great success in solving mixed integer linear optimization problems (MILPs) with specific identifiable structure. Only recently has there been investigation into the development of a "generic" version of BAP for unstructured MILPs. One of the most important elements required for such a generic BAP algorithm is an automatic method of decomposition. In this paper, we report on preliminary experiments using hypergraph partitioning as a means of performing such automatic decomposition. {\textcopyright} Springer-Verlag 2013.}, software = {https://github.com/coin-or/Dip}, author = {Wang, J. and Ralphs, T.K.}, booktitle = {Proceedings of the Conference on Constraint Programming, Artificial Intelligence, and Operations Research}, doi = {10.1007/978-3-642-38171-3_31}, isbn = {9783642381706}, issn = {03029743}, pages = {394--402}, title = {{Computational Experience with Hypergraph-based Methods for Automatic Decomposition in Discrete Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CPAIOR12.pdf}, year = {2013} }`

### 2012

- M. V. Galati, T. K. Ralphs, and J. Wang, “Computational Experience with Generic Decomposition using the DIP Framework,” in Proceedings of ramp 2012, 2012. [Software] [PDF] [Bibtex]
`@InProceedings{ GalRalWan12, software = {https://github.com/coin-or/Dip}, author = {Galati, M.V. and Ralphs, T.K. and Wang, J.}, booktitle = {Proceedings of RAMP 2012}, title = {{Computational Experience with Generic Decomposition using the DIP Framework}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/RAMP12.pdf}, year = {2012} }`

- T. Koch, T. K. Ralphs, and Y. Shinano, “Could We Use a Million Cores to Solve an Integer Program?,” Mathematical methods of operations research, vol. 76, p. 67–93, 2012. [PDF] [DOI] [Bibtex]
`@Article{ KocRalShi12, author = {Koch, T. and Ralphs, T.K. and Shinano, Y.}, doi = {10.1007/s00186-012-0390-9}, journal = {Mathematical Methods of Operations Research}, pages = {67--93}, title = {{Could We Use a Million Cores to Solve an Integer Program?}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/Million11.pdf}, volume = {76}, year = {2012} }`

### 2011

- M. Güzelsoy and T. K. Ralphs, “Warm-starting for Real-time Vehicle Routing,” COR@L Laboratory, Lehigh University 2011. [Software] [Bibtex]
`@TechReport{ GuzRal11, software = {https://github.com/coin-or/SYMPHONY}, author = {G{\"u}zelsoy, M. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, title = {{Warm-starting for Real-time Vehicle Routing}}, year = {2011} }`

- T. Koch, T. Achterburg, E. Andersen, O. Bastert, T. Berthold, R. E. Bixby, E. Danna, G. Gamrath, A. Gleixner, S. Heinz, A. Lodi, H. Mittelmann, T. K. Ralphs, D. Salvagnin, D. Steffy, and K. Wolter, “MIPLIB 2010,” Mathematical programming computation, vol. 3, p. 103–163, 2011. [Software] [PDF] [DOI] [Bibtex]
`@Article{ KocAchAndBasBerBixDanGamGleHei.ea11, software = {http://miplib.zib.de/download/scriptversions/}, author = {Koch, T. and Achterburg, T. and Andersen, E. and Bastert, O. and Berthold, T. and Bixby, R.E. and Danna, E. and Gamrath, G. and Gleixner, A. and Heinz, S. and Lodi, A. and Mittelmann, H. and Ralphs, T.K. and Salvagnin, D. and Steffy, D. and Wolter, K.}, doi = {10.1007/s12532-011-0025-9}, journal = {Mathematical Programming Computation}, pages = {103--163}, title = {{MIPLIB 2010}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/miplib5.pdf}, volume = {3}, year = {2011} }`

- A. Lodi, T. K. Ralphs, F. Rossi, and S. Smriglio, “Interdiction Branching,” COR@L Laboratory, Lehigh University, 11T-012-R2, 2011. [Software] [PDF] [Bibtex]
`@TechReport{ LodRalRosSmr11, software = {https://github.com/tkralphs/InterdictionBranch}, author = {Lodi, A. and Ralphs, T.K. and Rossi, F. and Smriglio, S.}, institution = {COR@L Laboratory, Lehigh University}, number = {11T-012-R2}, title = {{Interdiction Branching}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BilevelBranching.pdf}, year = {2011} }`

- T. K. Ralphs, M. Güzelsoy, and A. Mahajan, “SYMPHONY Version 5.3 User’s Manual,” COR@L Laboratory, Lehigh University 2011. [Software] [PDF] [Bibtex]
`@TechReport{ RalGuzMah11, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and G{\"u}zelsoy, M. and Mahajan, A.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.3 User's Manual}}, url = {http://www.coin-or.org/SYMPHONY/doc/SYMPHONY-5.3.4-Manual.pdf}, year = {2011} }`

- T. K. Ralphs, M. Güzelsoy, and A. Mahajan, “SYMPHONY Version 5.4 User’s Manual,” COR@L Laboratory, Lehigh University 2011. [Software] [PDF] [Bibtex]
`@TechReport{ RalGuzMah11a, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and G{\"u}zelsoy, M. and Mahajan, A.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.4 User's Manual}}, url = {http://www.coin-or.org/SYMPHONY/doc/SYMPHONY-5.4.0-Manual.pdf}, year = {2011} }`

### 2010

- Z. Akca, R. T. Berger, and T. K. Ralphs, “Solution Methods for the Multi-trip Elementary Shortest Path Problem with Resource Constraints,” COR@L Laboratory, Lehigh University 2010. [PDF] [Bibtex]
`@TechReport{ AkcBerRal10, author = {Akca, Z. and Berger, R.T. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, title = {{Solution Methods for the Multi-trip Elementary Shortest Path Problem with Resource Constraints}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MESPPRC10.pdf}, year = {2010} }`

- M. Güzelsoy and T. K. Ralphs, “Integer Programming Duality,” in Encyclopedia of operations research and management science, J. Cochran, Ed., Wiley, 2010. [PDF] [DOI] [Bibtex]
`@InCollection{ GuzRal10, author = {G{\"u}zelsoy, M. and Ralphs, T.K.}, booktitle = {Encyclopedia of Operations Research and Management Science}, doi = {10.1002/9780470400531}, editor = {{J. Cochran}}, publisher = {Wiley}, title = {{Integer Programming Duality}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/Duality-EOR10.pdf}, year = {2010} }`

- A. Mahajan and T. K. Ralphs, “On the Complexity of Selecting Disjunctions in Integer Programming,” Siam journal on optimization, vol. 20, iss. 5, p. 2181–2198, 2010. [PDF] [DOI] [Bibtex]
`@Article{ MahRal10, author = {Mahajan, A. and Ralphs, T.K.}, doi = {10.1137/080737587}, journal = {SIAM Journal on Optimization}, number = {5}, pages = {2181--2198}, title = {{On the Complexity of Selecting Disjunctions in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/Branching08.pdf}, volume = {20}, year = {2010} }`

- T. K. Ralphs and M. V. Galati, “Decomposition Methods,” in Encyclopedia of operations research and management science, J. Cochran, Ed., Wiley, 2010. [PDF] [DOI] [Bibtex]
`@InCollection{ RalGal10, author = {Ralphs, T.K. and Galati, M.V.}, booktitle = {Encyclopedia of Operations Research and Management Science}, doi = {10.1002/9780470400531}, editor = {Cochran, J.}, publisher = {Wiley}, title = {{Decomposition Methods}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/Decomp-EOR10.pdf}, year = {2010} }`

- T. K. Ralphs, A. Mahajan, and M. Güzelsoy, “SYMPHONY Version 5.2 User’s Manual,” COR@L Laboratory, Lehigh University 2010. [Software] [PDF] [Bibtex]
`@TechReport{ RalMahGuz10, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Mahajan, A. and G{\"u}zelsoy, M.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.2 User's Manual}}, url = {http://www.coin-or.org/SYMPHONY/doc/SYMPHONY-5.2.3-Manual.pdf}, year = {2010} }`

### 2009

- Z. Akca, R. T. Berger, and T. K. Ralphs, “A Branch-and-Price Algorithm for Combined Location and Routing Problems Under Capacity Restrictions,” in Proceedings of the eleventh informs computing society meeting, 2009, p. 309–330. [PDF] [DOI] [Bibtex]
`@InProceedings{ AkcBerRal09, author = {Akca, Z. and Berger, R.T. and Ralphs, T.K.}, booktitle = {Proceedings of the Eleventh INFORMS Computing Society Meeting}, doi = {10.1007/978-0-387-88843-9_16}, pages = {309--330}, title = {{A Branch-and-Price Algorithm for Combined Location and Routing Problems Under Capacity Restrictions}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/LRP08.pdf}, year = {2009} }`

- S. DeNegre and T. K. Ralphs, “A Branch-and-Cut Algorithm for Bilevel Integer Programming,” in Proceedings of the eleventh informs computing society meeting, 2009, p. 65–78. [Software] [PDF] [DOI] [Bibtex]
`@InProceedings{ DeNRal09, software = {https://github.com/coin-or/MibS}, author = {DeNegre, S. and Ralphs, T.K.}, booktitle = {Proceedings of the Eleventh INFORMS Computing Society Meeting}, doi = {10.1007/978-0-387-88843-9_4}, pages = {65--78}, title = {{A Branch-and-Cut Algorithm for Bilevel Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BILEVEL08.pdf}, year = {2009} }`

- A. Lodi and T. K. Ralphs, “Bilevel Programming and Maximally Violated Valid Inequalities,” in Proceedings of the cologne twente workshop on graphs and combinatorial optimization, 2009, p. 125–134. [PDF] [Bibtex]
`@InProceedings{ LodRal09, author = {Lodi, A. and Ralphs, T.K.}, booktitle = {Proceedings of the Cologne Twente Workshop on Graphs and Combinatorial Optimization}, pages = {125--134}, title = {{Bilevel Programming and Maximally Violated Valid Inequalities}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CTW09.pdf}, year = {2009} }`

- A. Mahajan and T. K. Ralphs, “Experiments with Branching using General Disjunctions,” in Proceedings of the eleventh informs computing society meeting, 2009, p. 101–118. [PDF] [DOI] [Bibtex]
`@InProceedings{ MahRal09, author = {Mahajan, A. and Ralphs, T.K.}, booktitle = {Proceedings of the Eleventh INFORMS Computing Society Meeting}, doi = {10.1007/978-0-387-88843-9_6}, pages = {101--118}, title = {{Experiments with Branching using General Disjunctions}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CompBranching08.pdf}, year = {2009} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “Computational Experience with a Software Framework for Parallel Integer Programming,” The informs journal on computing, vol. 21, p. 383–397, 2009. [Software] [PDF] [DOI] [Bibtex]
`@Article{ XuRalLadSal09, software = {https://github.com/coin-or/CHiPPS-ALPS}, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.1287/ijoc.1090.0347}, journal = {The INFORMS Journal on Computing}, pages = {383--397}, title = {{Computational Experience with a Software Framework for Parallel Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CHiPPS-Rev.pdf}, volume = {21}, year = {2009} }`

### 2008

- Z. Akca, R. T. Berger, and T. K. Ralphs, “Modeling and Solving Location, Routing, and Scheduling Problems,” COR@L Laboratory, Lehigh University, 08T-009, 2008. [PDF] [Bibtex]
`@TechReport{ AkcBerRal08, author = {Akca, Z. and Berger, R.T. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, number = {08T-009}, title = {{Modeling and Solving Location, Routing, and Scheduling Problems}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/LRSP08.pdf}, year = {2008} }`

- M. Güzelsoy and T. K. Ralphs, “The Value Function of a Mixed-integer Linear Program with a Single Constraint,” COR@L Laboratory, Lehigh University 2008. [PDF] [Bibtex]
`@TechReport{ GuzRal08, author = {G{\"u}zelsoy, M. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, title = {{The Value Function of a Mixed-integer Linear Program with a Single Constraint}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ValueFunction.pdf}, year = {2008} }`

- T. K. Ralphs, “SYMPHONY Version 5.1 User’s Manual,” COR@L Laboratory, Lehigh University 2008. [Software] [PDF] [Bibtex]
`@TechReport{ Ral08, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 5.1 User's Manual}}, url = {http://www.coin-or.org/SYMPHONY/SYMPHONY-5.1.8-Manual.pdf}, year = {2008} }`

### 2007

- M. Güzelsoy and T. K. Ralphs, “Duality for Mixed-Integer Linear Programs,” International journal of operations research, vol. 4, p. 118–137, 2007. [PDF] [Bibtex]
`@Article{ GuzRal07, author = {G{\"u}zelsoy, M. and Ralphs, T.K.}, journal = {International Journal of Operations Research}, pages = {118--137}, title = {{Duality for Mixed-Integer Linear Programs}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MILPD06.pdf}, volume = {4}, year = {2007} }`

- O. Osaltyn, B. Hunsaker, and T. K. Ralphs, “Visualizing Branch-and-Bound Algorithms,” COR@L Laboratory, Lehigh Univesity 2007. [Software] [PDF] [Bibtex]
`@TechReport{ OsaHunRal07, software = {http://github.com/coin-or/GrUMPy}, author = {Osaltyn, O. and Hunsaker, B. and Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh Univesity}, title = {{Visualizing Branch-and-Bound Algorithms}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BBVis.pdf}, year = {2007} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “Computational Experience with a Framework for Parallel Integer Programming,” COR@L Laboratory, Lehigh University 2007. [Software] [PDF] [Bibtex]
`@TechReport{ XuRalLadSal07, software = {https://github.com/coin-or/CHiPPS-BLIS}, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, institution = {COR@L Laboratory, Lehigh University}, title = {{Computational Experience with a Framework for Parallel Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CHiPPS.pdf}, year = {2007} }`

### 2006

- T. K. Ralphs, “Parallel Branch and Cut,” in Parallel combinatorial optimization, E. Talbi, Ed., New York: Wiley, 2006, p. 53–101. [Software] [PDF] [Bibtex]
`@InCollection{ Ral06, address = {New York}, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, booktitle = {Parallel Combinatorial Optimization}, editor = {{E. Talbi}}, pages = {53--101}, publisher = {Wiley}, title = {{Parallel Branch and Cut}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/PBandC.pdf}, year = {2006} }`

- T. K. Ralphs and M. V. Galati, “Decomposition and Dynamic Cut Generation in Integer Programming,” Mathematical programming, vol. 106, p. 261–285, 2006. [Software] [PDF] [DOI] [Bibtex]
`@Article{ RalGal06, software = {https://github.com/coin-or/Dip}, author = {Ralphs, T.K. and Galati, M.V.}, doi = {10.1007/s10107-005-0606-3}, journal = {Mathematical Programming}, pages = {261--285}, title = {{Decomposition and Dynamic Cut Generation in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/DECOMP.pdf}, volume = {106}, year = {2006} }`

- T. K. Ralphs and M. Güzelsoy, “Duality and Warm Starting in Integer Programming,” in The proceedings of the 2006 nsf design, service, and manufacturing grantees and research conference, 2006. [Software] [PDF] [Bibtex]
`@InProceedings{ RalGuz06, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and G{\"u}zelsoy, M.}, booktitle = {The Proceedings of the 2006 NSF Design, Service, and Manufacturing Grantees and Research Conference}, title = {{Duality and Warm Starting in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/DMII06.pdf}, year = {2006} }`

- T. K. Ralphs, M. J. Saltzman, and M. M. Wiecek, “An Improved Algorithm for Biobjective Integer Programming,” Annals of operations research, vol. 147, p. 43–70, 2006. [Software] [PDF] [DOI] [Bibtex]
`@Article{ RalSalWie06, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Saltzman, M.J. and Wiecek, M.M.}, doi = {10.1007/s10479-006-0058-z}, journal = {Annals of Operations Research}, pages = {43--70}, title = {{An Improved Algorithm for Biobjective Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BICRIT2.pdf}, volume = {147}, year = {2006} }`

### 2005

- J. T. Linderoth and T. K. Ralphs, “Noncommercial Software for Mixed-Integer Linear Programming,” in Integer programming: theory and practice, J. Karlof, Ed., Crc press, 2005, p. 253–303. [PDF] [Bibtex]
`@InCollection{ LinRal05, author = {Linderoth, J.T. and Ralphs, T.K.}, booktitle = {Integer Programming: Theory and Practice}, editor = {Karlof, J}, pages = {253--303}, publisher = {CRC Press}, title = {{Noncommercial Software for Mixed-Integer Linear Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MILP04.pdf}, year = {2005} }`

- T. K. Ralphs and M. V. Galati, “Decomposition in Integer Programming,” in Integer programming: theory and practice, J. Karlof, Ed., Crc press, 2005, p. 57–110. [Software] [PDF] [Bibtex]
`@InCollection{ RalGal05, software = {https://github.com/coin-or/Dip}, author = {Ralphs, T.K. and Galati, M.V.}, booktitle = {Integer Programming: Theory and Practice}, editor = {Karlof, J}, pages = {57--110}, publisher = {CRC Press}, title = {{Decomposition in Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/DECOMP04.pdf}, year = {2005} }`

- T. K. Ralphs and M. Güzelsoy, “The SYMPHONY Callable Library for Mixed Integer Programming,” in Proceedings of the ninth informs computing society conference, 2005, p. 61–76. [Software] [PDF] [DOI] [Bibtex]
`@InProceedings{ RalGuz05, abstract = {SYMPHONY is a customizable, open-source library for solving mixed-integer linear programs (MILP) by branch, cut, and price. With its large assortment of parameter settings, user callback functions, and compile-time options, SYMPHONY can be configured as a generic MILP solver or an engine for solving difficult MILPs by means of a fully customized algorithm. SYMPHONY can run on a variety of architectures, including single-processor, distributed-memory parallel, and shared-memory parallel architectures under MS Windows, Linux, and other Unix operating systems. The latest version is implemented as a callable library that can be accessed either through calls to the native C application program interface, or through a C++ interface class derived from the COIN-OR Open Solver Interface. Among its new features are the ability to solve bicriteria MILPs, the ability to stop and warm start MILP computations after modifying parameters or problem data, the ability to create persistent cut pools, and the ability to perform rudimentary sensitivity analysis on MILPs. {\textcopyright} 2005 Springer Science+Business Media, Inc.}, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and G{\"u}zelsoy, M.}, booktitle = {Proceedings of the Ninth INFORMS Computing Society Conference}, doi = {10.1007/0-387-23529-9_5}, issn = {1387666X}, keywords = {Branch and bound,Branch and cut,Integer programming,Sensitivity analysis,Software}, pages = {61--76}, title = {{The SYMPHONY Callable Library for Mixed Integer Programming}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/SYMPHONY04.pdf}, year = {2005} }`

- Y. Xu, T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “ALPS: A Framework for Implementing Parallel Tree Search Algorithms,” in The proceedings of the ninth informs computing society conference, 2005, p. 319–334. [Software] [PDF] [DOI] [Bibtex]
`@InProceedings{ XuRalLadSal05, abstract = {ALPS is a framework for implementing and parallelizing tree search algorithms. It employs a number of features to improve scalability and is designed specifically to support the implementation of data intensive algorithms, in which large amounts of knowledge are generated and must be maintained and shared during the search. Implementing such algorithms in a scalable manner is challenging both because of storage requirements and because of communications overhead incurred in the sharing of data. In this abstract, we describe the design of ALPS and how the design addresses these challenges. We present two sample applications built with ALPS and preliminary computational results. {\textcopyright} 2005 Springer Science+Business Media, Inc.}, software = {https://github.com/coin-or/CHiPPS-ALPS}, author = {Xu, Y. and Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, booktitle = {The Proceedings of the Ninth INFORMS Computing Society Conference}, doi = {10.1007/0-387-23529-9_21}, issn = {1387666X}, keywords = {Branch and bound,Integer programming,Parallel algorithm,Software}, pages = {319--334}, title = {{ALPS: A Framework for Implementing Parallel Tree Search Algorithms}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ALPS04.pdf}, volume = {29}, year = {2005} }`

### 2004

- R. Lougee-Heimer, M. J. Saltzman, and T. K. Ralphs, COIN of the OR Realm, 2004. [PDF] [Bibtex]
`@Misc{ LouSalRal04, author = {Lougee-Heimer, R. and Saltzman, M.J. and Ralphs, T.K.}, journal = {OR/MS Today}, month = {oct}, title = {{COIN of the OR Realm}}, url = {http://www.lionhrtpub.com/orms/orms-10-04/frcoin.html}, year = {2004} }`

- T. K. Ralphs, “SYMPHONY Version 5.0 User’s Manual,” COR@L Laboratory, Lehigh University, 04T-011, 2004. [Software] [Bibtex]
`@TechReport{ Ral04, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, number = {04T-011}, title = {{SYMPHONY Version 5.0 User's Manual}}, year = {2004} }`

- T. K. Ralphs and M. Güzelsoy, “Duality, Warm Starting, and Sensitivity Analysis in Integer Programming,” COR@L Laboratory, Lehigh University, 04T-022, 2004. Available by request. [PDF] [Bibtex]
`@TechReport{ RalGuz04, annote = {Available by request}, author = {Ralphs, T.K. and G{\"u}zelsoy, M.}, institution = {COR@L Laboratory, Lehigh University}, number = {04T-022}, title = {{Duality, Warm Starting, and Sensitivity Analysis in Integer Programming}}, url = {http://ise.lehigh.edu/sites/ise.lehigh.edu/files/04t{\_}022.pdf}, year = {2004} }`

- T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “A Library Hierarchy for Implementing Scalable Parallel Search Algorithms,” Journal of supercomputing, vol. 28, p. 215–234, 2004. [Software] [PDF] [DOI] [Bibtex]
`@Article{ RalLadSal04, software = {https://github.com/coin-or/CHiPPS-ALPS}, author = {Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.1023/B:SUPE.0000020179.55383.ad}, journal = {Journal of Supercomputing}, pages = {215--234}, title = {{A Library Hierarchy for Implementing Scalable Parallel Search Algorithms}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/JSC02.pdf}, volume = {28}, year = {2004} }`

- T. K. Ralphs, M. J. Saltzman, and M. M. Wiecek, “An Improved Algorithm for Biobjective Integer Programming and Its Application to Network Routing Problems,” COR@L Laboratory Report, Lehigh University, 04T-004, 2004. [Software] [PDF] [Bibtex]
`@TechReport{ RalSalWie04, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Saltzman, M.J. and Wiecek, M.M.}, institution = {COR@L Laboratory Report, Lehigh University}, number = {04T-004}, title = {{An Improved Algorithm for Biobjective Integer Programming and Its Application to Network Routing Problems}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BICRIT.pdf}, year = {2004} }`

### 2003

- T. K. Ralphs, “SYMPHONY Version 4.0 User’s Manual,” COR@L Laboratory, Lehigh University 2003. [Software] [Bibtex]
`@TechReport{ Ral03, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, institution = {COR@L Laboratory, Lehigh University}, title = {{SYMPHONY Version 4.0 User's Manual}}, year = {2003} }`

- T. K. Ralphs, “Parallel Branch and Cut for Capacitated Vehicle Routing,” Parallel computing, vol. 29, p. 607–629, 2003. [Software] [PDF] [DOI] [Bibtex]
`@Article{ Ral03a, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, doi = {10.1016/S0167-8191(03)00045-0}, journal = {Parallel Computing}, pages = {607--629}, title = {{Parallel Branch and Cut for Capacitated Vehicle Routing}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/PVRP.pdf}, volume = {29}, year = {2003} }`

- T. K. Ralphs, L. Kopman, W. R. Pulleyblank, and L. E. Trotter Jr., “On the Capacitated Vehicle Routing Problem,” Mathematical programming, vol. 94, p. 343–359, 2003. [Software] [PDF] [DOI] [Bibtex]
`@Article{ RalKopPulTro-Jr03, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Kopman, L. and Pulleyblank, W.R. and Trotter Jr., L.E.}, doi = {10.1007/s10107-002-0323-0}, journal = {Mathematical Programming}, pages = {343--359}, title = {{On the Capacitated Vehicle Routing Problem}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/VRP.pdf}, volume = {94}, year = {2003} }`

- T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “Parallel Branch, Cut, and Price for Large-Scale Discrete Optimization,” Mathematical programming, vol. 98, p. 253–280, 2003. [Software] [PDF] [DOI] [Bibtex]
`@Article{ RalLadSal03, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, doi = {10.1007/s10107-003-0404-8}, journal = {Mathematical Programming}, pages = {253--280}, title = {{Parallel Branch, Cut, and Price for Large-Scale Discrete Optimization}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/PBCP.pdf}, volume = {98}, year = {2003} }`

### 2002

- L. Ladányi, T. K. Ralphs, and M. J. Saltzman, “Implementing Scalable Parallel Search Algorithms for Data-Intensive Applications,” in Proceedings of the international conference on computational science, 2002, p. 592–602. [Software] [PDF] [DOI] [Bibtex]
`@InProceedings{ LadRalSal02, abstract = {Scalability is a critical issue in the design of parallel software for large-scale search problems. Previous research has not addressed this issue for data-intensive applications. We describe the design of a library for parallel search that focuses on efficient data and search tree management for such applications in distributed computing environments. {\textcopyright} 2002 Springer-Verlag Berlin Heidelberg.}, software = {https://github.com/coin-or/CHiPPS-ALPS}, author = {Lad{\'a}nyi, L. and Ralphs, T.K. and Saltzman, M.J.}, booktitle = {Proceedings of the International Conference on Computational Science}, doi = {10.1007/3-540-46043-8_60}, isbn = {3540435913}, issn = {03029743}, pages = {592--602}, title = {{Implementing Scalable Parallel Search Algorithms for Data-Intensive Applications}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ICCS02.pdf}, year = {2002} }`

### 2001

- L. Ladányi, T. K. Ralphs, and L. E. Trotter Jr., “Branch, Cut, and Price: Sequential and Parallel,” in Computational combinatorial optimization, D. Naddef and M. Juenger, Eds., Berlin: Springer, 2001, p. 223–260. [PDF] [DOI] [Bibtex]
`@InCollection{ LadRalTro-Jr01, address = {Berlin}, author = {Lad{\'a}nyi, L. and Ralphs, T.K. and Trotter Jr., L.E.}, booktitle = {Computational Combinatorial Optimization}, doi = {10.1007/3-540-45586-8_6}, editor = {Naddef, D and Juenger, M}, pages = {223--260}, publisher = {Springer}, title = {{Branch, Cut, and Price: Sequential and Parallel}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/LNCS.pdf}, year = {2001} }`

- R. Lougee-Heimer, M. J. Saltzman, and T. K. Ralphs, The COIN-OR Initiative: Open-source Software Accelerates Operations Research Progress, 2001. [PDF] [Bibtex]
`@Misc{ LouSalRal01, author = {Lougee-Heimer, R. and Saltzman, M.J. and Ralphs, T.K.}, journal = {OR/MS Today}, title = {{The COIN-OR Initiative: Open-source Software Accelerates Operations Research Progress}}, url = {http://lionhrtpub.com/orms/orms-10-01/forumfr.html}, year = {2001} }`

- T. K. Ralphs and J. C. Hartman, “Capacitated Network Routing (A Preliminary Progress Report),” COR@L Laboratory, Lehigh University, 01W-009, 2001. [Software] [PDF] [Bibtex]
`@TechReport{ RalHar01, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Hartman, J.C.}, institution = {COR@L Laboratory, Lehigh University}, number = {01W-009}, title = {{Capacitated Network Routing (A Preliminary Progress Report)}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/CNRP.pdf}, year = {2001} }`

- T. K. Ralphs and L. Ladányi, “COIN/BCP User’s Manual,” COR@L Laboratory, Lehigh University 2001. [Software] [PDF] [Bibtex]
`@TechReport{ RalLad01, software = {https://github.com/coin-or/Bcp}, author = {Ralphs, T.K. and Lad{\'a}nyi, L.}, institution = {COR@L Laboratory, Lehigh University}, title = {{COIN/BCP User's Manual}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/BCP-Manual.pdf}, year = {2001} }`

- T. K. Ralphs, L. Ladányi, and M. J. Saltzman, “A Library Hierarchy for Implementing Scalable Parallel Search Algorithms,” COR@LLaboratory, Lehigh University 2001. [Software] [PDF] [Bibtex]
`@TechReport{ RalLadSal01, software = {https://github.com/coin-or/CHiPPS-ALPS}, author = {Ralphs, T.K. and Lad{\'a}nyi, L. and Saltzman, M.J.}, institution = {COR@LLaboratory, Lehigh University}, title = {{A Library Hierarchy for Implementing Scalable Parallel Search Algorithms}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/ALPS.pdf}, year = {2001} }`

### 2000

- T. K. Ralphs and L. Ladányi, “SYMPHONY: A Parallel Framework for Branch, Cut, and Price,” Rice University 2000. [Software] [Bibtex]
`@TechReport{ RalLad00, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K. and Lad{\'a}nyi, L.}, institution = {Rice University}, title = {{SYMPHONY: A Parallel Framework for Branch, Cut, and Price}}, year = {2000} }`

### 1997

- M. Esö, L. Ladányi, T. K. Ralphs, and L. E. Trotter Jr., “Fully Parallel Generic Branch-and-Cut Framework,” in Proceedings of the eighth \SIAM\ conference on parallel processing for scientific computing, 1997. [Software] [Bibtex]
`@InProceedings{ EsoLadRalTro-Jr97, software = {https://github.com/coin-or/SYMPHONY}, author = {Es{\"o}, M. and Lad{\'a}nyi, L. and Ralphs, T.K. and Trotter Jr., L.E.}, booktitle = {Proceedings of the Eighth {\{}SIAM{\}} Conference on Parallel Processing for Scientific Computing}, title = {{Fully Parallel Generic Branch-and-Cut Framework}}, year = {1997} }`

### 1995

- T. K. Ralphs, “Parallel Branch and Cut for Vehicle Routing,” PhD Thesis, 1995. [Software] [Bibtex]
`@PhDThesis{ Ral95, software = {https://github.com/coin-or/SYMPHONY}, author = {Ralphs, T.K.}, month = {may}, school = {Cornell University}, title = {{Parallel Branch and Cut for Vehicle Routing}}, year = {1995} }`

### 1993

- T. K. Ralphs, “On the Mixed Chinese Postman Problem,” Operations research letters, vol. 14, p. 123–127, 1993. [PDF] [DOI] [Bibtex]
`@Article{ Ral93, author = {Ralphs, T.K.}, doi = {10.1016/0167-6377(93)90021-8}, journal = {Operations Research Letters}, pages = {123--127}, title = {{On the Mixed Chinese Postman Problem}}, url = {http://coral.ie.lehigh.edu/~ted/files/papers/MPP.pdf}, volume = {14}, year = {1993} }`

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