Mathematical Programming for Economics and Business
Characteristics and types of models; Linear programming; Nonlinear programming; Nonlinear programming algorithms; Quadratic programming; Integer programming; Dynmic programming; Recursive; Calculus of variations; Stochastic programming.
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applied artificial variables assumed basic feasible solution Basic variable basis branch and bound column vector computational Consider constants constraint region convex function convex set corner point decision variables determined dual problem dynamic programming elements equations firm func given in Table global maximum global optimum illustrated increase inequality initial tableau integer linear programming integer solution iteration Kuhn-Tucker conditions Lagrangian function Lagrangian multipliers linear programming problem mathematical programming problem matrix method minimize nonbasic variables nonlinear programming nonnegative number of units objective function optimal solution optimal values period pivot row player primal problem problem is maximize quadratic programming random variables recursive programming resource saddle point satisfied second tableau Section simplex algorithm simplex criterion simplex solution slack variables solu solve stage straints subject to Ax subproblem Suppose Tableau Cost coefficient Tableau for Example theorem tion variational calculus zero