## 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. |

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Page 269

Aj Case 20 — Changes in the Coefficients of a Nonbasic Variable Consider a particular variable x ; ( fixed j ) that is a nonbasic variable in the optimal soluа

Aj Case 20 — Changes in the Coefficients of a Nonbasic Variable Consider a particular variable x ; ( fixed j ) that is a nonbasic variable in the optimal soluа

**tion**shown by the final simplex tableau . In Case 2a , the only change in ...Page 718

( b ) Show graphically how the sequence of trial solutions obtained 4xy + 2x2 5 5 in part ( a ) can be extrapolated to obtain a closer approximaand

( b ) Show graphically how the sequence of trial solutions obtained 4xy + 2x2 5 5 in part ( a ) can be extrapolated to obtain a closer approximaand

**tion**of an optimal solution . What is your resulting estimate of this solution ?Page 1166

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**tion**. This solution need not be unique , since there could be global minimum and maximum would be found by compara tie for the global minimum over a single interval where ing the local minima and maxima and then checking the the ...### What people are saying - Write a review

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### 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 allocation allowable range artificial variables assignment problem augmenting path basic solution Big M method changes coefficients column Consider the following constraint boundary corresponding CPLEX decision variables 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 graphically identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LP relaxation lution Maximize Maximize Z maximum flow problem Minimize needed node nonbasic variables objective function obtained optimal solution optimality test path Plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices slack variables solve this model Solver spreadsheet step subproblem surplus variables tion transportation problem transportation simplex method weeks Wyndor Glass x₁ zero