Introduction to Operations ResearchCD-ROM contains: Student version of MPL Modeling System and its solver CPLEX -- MPL tutorial -- Examples from the text modeled in MPL -- Examples from the text modeled in LINGO/LINDO -- Tutorial software -- Excel add-ins: TreePlan, SensIt, RiskSim, and Premium Solver -- Excel spreadsheet formulations and templates. |
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Page 286
... dual problem for this primal problem . ( b ) Solve the dual problem graphically . Use this solution to identify the shadow prices for the resources in the primal ... problem in our standard 286 6 DUALITY THEORY AND SENSITIVITY ANALYSIS.
... dual problem for this primal problem . ( b ) Solve the dual problem graphically . Use this solution to identify the shadow prices for the resources in the primal ... problem in our standard 286 6 DUALITY THEORY AND SENSITIVITY ANALYSIS.
Page 287
... problem in column 1 , the corresponding sets of as- sociated variables for the dual problem in column 2 , and the set of nonbasic variables for each complementary basic solution in the ... dual problem by using Eq . CHAPTER 6 PROBLEMS 287.
... problem in column 1 , the corresponding sets of as- sociated variables for the dual problem in column 2 , and the set of nonbasic variables for each complementary basic solution in the ... dual problem by using Eq . CHAPTER 6 PROBLEMS 287.
Page 288
... dual problem when you apply the revised simplex method ( see Sec . 5.2 ) to the primal problem in our standard form . ( a ) How would you identify the optimal solution for the dual problem ? ( b ) After obtaining the BF solution at each ...
... dual problem when you apply the revised simplex method ( see Sec . 5.2 ) to the primal problem in our standard form . ( a ) How would you identify the optimal solution for the dual problem ? ( b ) After obtaining the BF solution at each ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
Common terms and phrases
activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following cost Courseware CPLEX decision variables described dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given graphical identify increase initial BF solution integer iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero