## 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 249

constructing the dual problem except that the nonnegativity

constructing the dual problem except that the nonnegativity

**constraint**for the corresponding dual variable should be deleted ( i.e. ... Another shortcut involves functional**constraints**in > form for a maximization problem .Page 586

Either - Or

Either - Or

**Constraints**а Consider the important case where a choice can be made between two**constraints**, so that only one ( either one ) must hold ( whereas the other one can hold but is not required to do so ) .Page 587

Since y + 1 - y = 1 ( one yes ) automatically , there is no need to add another

Since y + 1 - y = 1 ( one yes ) automatically , there is no need to add another

**constraint**to force these two decisions to be ... K out of N**Constraints**Must Hold Consider the case where the overall model includes a set of N possible ...### 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