## 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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Page 148

Big M Method :

Big M Method :

**Minimize**Z = 0.4x1 + 0.5x2 + MX4 + MX6 . Two - Phase Method : Phase 1 : Phase 2 :**Minimize Minimize**Z = x1 + x6 . Z = 0.4.x , + 0.5x2 . = Because the MÃ1 and MÃ terms dominate the 0.4x , and 0.5x2 terms in the objective ...Page 179

**Minimize**Z = 5,000x1 + 7,000x2 , subject to and -2x1 + x2 ≥1 X1 - 2x2 ≥1 I ( a ) Using the two - phase method , work through phase 1 step by step . c ( b ) Use a software package based on the simplex method to for- mulate and solve ...Page 415

9.4 Other Applications Not all applications of the shortest - path problem involve

9.4 Other Applications Not all applications of the shortest - path problem involve

**minimizing**the distance traveled from the origin to the destination . ...**Minimize**the total distance traveled , as in the Seervada Park example . 2.### What people are saying - Write a review

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### Other editions - View all

Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |

### Common terms and phrases

activity additional algorithm allowable amount apply assigned basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider Construct corresponding cost CPF solution decision variables described determine developed dual problem entering equations estimates example feasible feasible region feasible solutions FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming linear programming model Maximize million Minimize month needed node objective function obtained operations optimal optimal solution original parameters path perform plant possible presented primal problem Prob procedure profit programming problem provides range resource respective resulting revised sensitivity analysis shown shows side simplex method simplex tableau slack solve step Table tableau tion unit values weeks Wyndor Glass x₁ zero