## 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

Results 1-3 of 48

Page 237

If x is not optimal for the

If x is not optimal for the

**primal problem**, then y is not feasible for the dual problem . To illustrate , after one iteration for the Wyndor Glass Co. problem , x1 = 0 , x2 = 6 , and X2 Y1 = 0 , y2 = 2 , y3 = 0 , with cx = 30 = yb .Page 286

( a ) Construct the dual problem . ( b ) Use duality theory to show that the optimal solution for the

( a ) Construct the dual problem . ( b ) Use duality theory to show that the optimal solution for the

**primal problem**has Z ≤ 0 . 6.1-6 . Consider the following problem . Z = 2x1 + 6x2 + 9x3 , Maximize subject to X1 + x3≤3 x2 + 2x3 ≤5 ...Page 287

( b ) At each iteration , the simplex method simultaneously identi- fies a CPF solution for the

( b ) At each iteration , the simplex method simultaneously identi- fies a CPF solution for the

**primal problem**and a CPF solution for the dual problem such that their objective function values are the same . ( c ) If the**primal problem**...### What people are saying - Write a review

Reviews aren't verified, but Google checks for and removes fake content when it's identified

User Review - Flag as inappropriate

i

User Review - Flag as inappropriate

I want review this book

### 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