## Introduction to Operations ResearchCD-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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**variable**from zero ( while adjusting the values of the**basic**vari- ables to continue satisfying the system of ...**variable**to increase is made as follows : Increase x1 ? Increase x2 ? Z = 3x1 + 5x2 Rate of improvement in Z = 3 ...Page 129

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**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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**basic variables**are nonnegative . If they are , then this solution is feasible , and therefore optimal , so stop . Otherwise , go to an iteration . 3. Iteration : Step 1 Determine the leaving**basic variable**: Select the negative basic ...### 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 Courseware CPLEX decision variables dual problem dual simplex method dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal programming graphical identify increase initial BF solution integer 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 resource right-hand sides sensitivity analysis shadow prices shown slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero