## 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 421

... flow problem . A 3 2 T D 5 B 4 C 4 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 . A 3 2 T D 5 B 4 C 4 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 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 ...Page 437

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**maximum flow problem**as a minimum cost flow problem . [ 0 ] A 5 + 7 — 3 All Cij = 0 except COT Uij values are given next to the arcs . [ 0 ] [ 0 ] 9 T [ -F ] 4 B D 5 2 1 6 C [ 0 ] E 4 [ 0 ] COT = M ( UOT = ∞ ) = - through the network ...### 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