## 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 35

FIGURE 3.5 The Wyndor Glass Co. problem would have multiple

FIGURE 3.5 The Wyndor Glass Co. problem would have multiple

**optimal solutions**if the objective function were changed to Z = 3x1 + 2x2 . Z = 18 = 3x + 2x2 x2 Maximize Z = 3x1 + 2x2 , subject to X1 ≤ 4 2x212 3x + 2x218 8 and x20 , 6 4 ...Page 37

As in this case , any problem having multiple

As in this case , any problem having multiple

**optimal solutions**will have an infi- nite number of them , each with ... This occurs only if ( 1 ) it has no**feasible solutions**or ( 2 ) the constraints do not prevent improving the value of ...Page 223

( a ) If a

( a ) If a

**feasible solution**is optimal , it must be a CPF solution . ( b ) The number of CPF solutions is at least ( m + n ) ! m ! n ! ( c ) If a CPF solution has adjacent CPF solutions that are better ( as measured by Z ) , then one ...### 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