4.5. Mathematical Programming

Mathematical programming, or mathematical optimization, is a systematic approach used for optimizing (minimizing or maximizing) the value of an objective function with respect to a set of constraints. The problem in general can be expressed as:where

  • x = (x1, …, xn) are optimization (or decision) variables,
  • f : Rn → R is the objective function, and
  • gt : Rn → R and bi, ∈ R form the constraints for the valid values of x

4.5.1. Categories of mathematical programming problems

According to the natures of f and X, mathematical programming problems can be classified into several different categories:

  1. If X = Rn, the ...

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