Operations Research: Applications and AlgorithmsSince the publication of the first edition in 1987, Winston's text has become increasingly popular because of its easy-to-follow format, its many examples and problems and its emphasis on model building and model formulation skills. The text includes comprehensive coverage of all areas of operations research and management science. |
Contents
V2 BASIC LINEAR ALGEBRA | 9 |
V3 INTRODUCTION TO LINEAR PROGRAMMING | 51 |
THE SIMPLEX ALGORITHM | 125 |
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ALLOWABLE INCREASE artificial variable b₁ b₂ barrels basic feasible solution basic variable basis remains optimal c₁ coefficient in row column concave function convex convex function convex set current basis remains Dakota problem decision variables decrease demand determine enter the basis ero's example extreme point feasible region Figure finishing hours following LP Formulate an LP goal infeasible INFINITY integer programming investment isoprofit line ith constraint LINDO output linear programming linearly independent LP relaxation LP's matrix max problem maximize maximum flow problem minimize month node nonbasic variable nonnegative objective function coefficient objective function value obtain optimal solution optimal tableau optimal z-value Powerco primal PROBLEMS GROUP profit programming problem purchased quarter raw material requires right-hand side S₁ s₂ satisfy Section shadow price shown in Table sign restrictions simplex algorithm simplex method slack slack variable Step subproblem Suppose vectors x₁ x₂ y₁ yields zero