## 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. |

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**flow**of some type through them , e.g. , the**flow**of trams on the roads of Seervada Park in Sec . 9.1 . Table 9.1 gives several examples of**flow**in typical networks . If**flow**through an arc is allowed in only one direction ( e.g. , a one ...Page 422

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**flow**of water through a system of aqueducts . 5. Maximize the**flow**of vehicles through a transportation network . For some of these applications , the**flow**through the network may originate at more than one node and may also terminate ...Page 429

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**flow**generated at each of the nodes ( see columns H and I ) . These net flows are required to be 0 for the transshipment nodes ( A , B , C , D , and E ) , as ...**FLOW**PROBLEM 429 The Maximum**Flow**Problem The Minimum Cost**Flow**Problem.### 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 described dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given 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 simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero