## 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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Page 421

... flow problem . Α 3 C 4 T 4 D B 5 E the analysis focuses on outgoing trips only . ) To avoid unduly disturbing the ecology and wildlife of the region , strict upper ... flow of oil through a system of 9.5 THE

... flow problem . Α 3 C 4 T 4 D B 5 E the analysis focuses on outgoing trips only . ) To avoid unduly disturbing the ecology and wildlife of the region , strict upper ... flow of oil through a system of 9.5 THE

**MAXIMUM FLOW PROBLEM**421.Page 422

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**maximum flow problem**is allowed to have only a single source and a single sink . For example , a company's distribution network commonly has multiple factories and multiple customers . A clever reformulation is used to make such a ...Page 428

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**Maximum Flow Problems**Most**maximum flow problems**that arise in practice are considerably larger , and occa- sionally vastly larger , than the Seervada Park problem . Some problems have thousands of nodes and arcs . The augmenting path ...### 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