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mathematical_optimization [2024/05/15 15:46]
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mathematical_optimization [2024/05/15 16:31] (current)
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 ====== Mathematical Optimization ====== ====== Mathematical Optimization ======
  
-In mathematics, computer science, economics, or management science, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.((The Nature of Mathematical Programming, Mathematical Programming Glossary, INFORMS Computing Society.))+In mathematics, computer science, economics, or management science, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.(("The Nature of Mathematical Programming,Mathematical Programming Glossary, INFORMS Computing Society.))
  
-In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains..+In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.
  
 ===== Optimization Problems ===== ===== Optimization Problems =====
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