## 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 34

Frederick S. Hillier, Gerald J. Lieberman. A

Frederick S. Hillier, Gerald J. Lieberman. A

**feasible solution**is a solution for which all the constraints are ... solutions , while the points ( 1 , 3 ) and ( 4 , 4 ) are infeasible solutions . The feasible region is the collection of ...Page 236

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**feasible solution**for the primal problem and y is a**feasible solution**for the dual problem , then cx ≤ yb . = For ... solutions for the primal and dual problems where both solutions are feasible for their respective problems . At each ...Page 238

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**feasible solutions**and a bounded objective function ( and so has an optimal solution ) , then so does the other problem , so both the weak and strong duality properties are applicable . 2. If one problem has**feasible solutions**and an ...### 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