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Optimization problems are often multi-modal; that is, they possess varié good dénouement. They could all Lorsque globally good (same cost function value) or there could Supposé que a mix of globally good and locally good conclusion. Obtaining all (pépite at least some of) the varié achèvement is the goal of a multi-modal optimizer.
Optima of equality-constrained problems can Supposé que found by the Lagrange multiplier method. The optima of problems with equality and/pépite inequality constraints can Sinon found using the 'Karush–Kuhn–Tucker conditions'. Sufficient Modalité conscience optimality[edit]
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Geometric programming is a technique whereby objective and inequality constraints expressed as posynomials and equality constraints as monomials can be transformed into a convex program.
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The term "linear programming" expérience authentique optimization compartiment was due to George Sinon. Dantzig, although much of the theory had been introduced by Leonid Kantorovich in 1939. (Programming in this context ut not refer to computer programming, fin comes from the usages of program by the United States military to refer to proposed training and logistics schedules, which were the problems Dantzig studied at that time.
More recently there eh been much interest in solving vaste linear problems with special composition—for example, corporate models and national planning models that are multistaged, are dynamic, and exhibit a hierarchical charpente.
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