## 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 32

A

A

**feasible**solution is a solution for which all the constraints are satisfied . An infeasible solution is a solution for which at least one constraint is violated . In the example , the points ( 2 , 3 ) and ( 4 , 1 ) in Fig .Page 236

Weak duality property : If x is a

Weak duality property : If x is a

**feasible**solution for the primal problem and y is a**feasible**solution for the dual problem , then cx ≤ yb . For example , for the Wyndor Glass Co. problem , one**feasible**solution is x1 = 3 , x2 = 3 ...Page 246

No Yes

No Yes

**Feasible**? Yes No Optimal Superoptimal Suboptimal Neither**feasible**nor superoptimal To review the reasoning behind this property , note that the dual solution ( y * , z * - c ) must be**feasible**for the dual problem because the ...### 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