Mathematical Programming for Economics and BusinessCharacteristics and types of models; Linear programming; Nonlinear programming; Nonlinear programming algorithms; Quadratic programming; Integer programming; Dynmic programming; Recursive; Calculus of variations; Stochastic programming. |
Contents
LINEAR PROGRAMMING | 9 |
NONLINEAR PROGRAMMING | 134 |
NONLINEAR PROGRAMMING ALGORITHMS | 187 |
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a₁ a₂ applied artificial variables assumed b₁ b₂ basic feasible solution Basic Variable basis branch and bound c₁ column vector computational Consider constraint region convex function convex set corner point decision variables determined dynamic programming equations firm global optimum illustrated inequality initial tableau integer linear programming integer solution Kuhn-Tucker conditions Lagrangian function Lagrangian multipliers linear programming problem mathematical programming problem matrix maximize subject maximize z method minimize nonbasic variables nonlinear programming nonnegative number of units objective function optimal solution optimal values Phase II Tableau pivot row player primal problem problem is maximize quadratic programming r₁ random variables recursive programming resource satisfied Section simplex algorithm simplex criterion simplex solution slack variables solving stage stochastic straints subproblem Suppose Tableau Cost coefficient Tableau for Example theorem tion variable Index variational calculus x₁ x₂ y₁ zero λι дх