## 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 408

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**direction**( e.g. , a pipeline that can be used to pump fluid in either**direction**) , the arc is said to be an undirected arc . To help you distinguish between the two kinds of arcs , we shall frequently refer to undirected arcs by the ...Page 409

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**direction**( if any ) is toward node j , so that flow from node i to node j along this path is feasible . An undirected path from node i to node j is a sequence of connecting arcs whose**direction**( if any ) can be either toward or away ...Page 423

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**direction**remains the same and the arc capacity in the opposite**direction**is zero , so the constraints on flows are unchanged . Subsequently , whenever some amount of flow is assigned to an arc , that amount is subtracted from the ...### 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