## 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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Page 129

... basic variable , versus two iterations if x2 is chosen . Tie for the

... basic variable , versus two iterations if x2 is chosen . Tie for the

**Leaving Basic Variable**— Degeneracy Now suppose that two or more basic variables tie for being the**leaving basic variable**in step 2 of an iteration . Does it matter ...Page 311

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**leaving basic variable**, is equiv- alent to determining the entering basic variable in the dual problem . The negative vari- able with the largest absolute value corresponds to the negative coefficient with the largest absolute value in ...Page 319

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**variable**as the new nonbasic**variable**( the**leaving**ba- sic**variable**) for identifying the new BF solution . Thus , the one substantive modification being made in the simplex method is in ...**leaving basic**7.3 THE UPPER BOUND TECHNIQUE 319.### 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