## 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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**interior**-**point**algorithm , right through the interior of the feasible region for the Wyndor Glass Co. problem . cited in the preceding section ) . The competition between the two approaches for supremacy in solving huge problems is ...Page 166

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**interior**-**point**algorithm is many times longer than that for the simplex method . For fairly small problems , the numbers of iterations needed by an**interior**-**point**al- gorithm and by the simplex method tend to be somewhat comparable ...Page 167

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**Interior**-**Point**Approach Ongoing research is continuing to provide substantial improvements in computer imple- mentations of both the simplex method ( including its variants ) and**interior**-**point**algo- rithms . Therefore , any ...### 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