## 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

Results 1-3 of 28

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**range to stay**feasible . For any b1 , recall from Sec . 4.7 that its allowable**range to stay**feasible is the range of values over which the current optimal BF solution ' ( with adjusted val- ues for the basic variables ) remains ...Page 277

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**Range to Stay**Optimal . For Case 2a , we described how to find the allowable**range to stay**optimal for any c ; such that x , is a nonbasic variable for the cur- rent optimal solution ( before c ; is changed ) . When x , is a basic ...Page 295

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**range to stay**optimal for c1 and c2 . ( b ) Use algebraic analysis to derive and verify your answers in part ( a ) . ( c ) Use graphical analysis to determine the allowable**range to stay**feasible for b1 and b2 . ( d ) Use algebraic ...### 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 corresponding cost Courseware CPF solution CPLEX decision variables 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 interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject 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 simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero