## Introduction to Operations Research, Volume 1CD-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. |

### From inside the book

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**graphically**that this problem has no feasible so- lutions . ( b ) Construct the dual problem . ( c ) Demonstrate**graphically**that the dual problem has an un- bounded objective function . 6.1-9 . Construct and graph a primal problem with ...Page 288

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**graphically**. Use this solution to iden- tify the basic variables and the nonbasic variables for the op- timal solution of the primal problem . Directly derive this so- lution , using Gaussian elimination . 6.3-7 . * Reconsider the ...Page 342

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**graphically**. Then ex- tend this graphical procedure to solve the parametric extension of the problem ; i.e. , find the optimal solution and the optimal value of Z ( 0 ) as a function of 0 , for 0 ≤ 0 ≤ 10 . I ( b ) Find an optimal ...### Other editions - View all

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 CPF solution CPLEX decision variables described dual problem dynamic programming entering basic variable example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal goal programming graphical identify increase initial BF solution integer interior-point 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 right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero