## 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 40

Page 119

Choose x , and x2 to be the

0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either

or x2 ) increases Z . Optimality test Iteration 1 Step 1 Not optimal , because ...

Choose x , and x2 to be the

**nonbasic variables**( = 0 ) for the initial BF solution : (0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either

**nonbasic variable**( x ,or x2 ) increases Z . Optimality test Iteration 1 Step 1 Not optimal , because ...

Page 120

Determining the Direction of Movement ( Step 1 of an Iteration ) Increasing one

continue satisfying the system of equations ) corresponds to moving along one ...

Determining the Direction of Movement ( Step 1 of an Iteration ) Increasing one

**nonbasic variable**from zero ( while adjusting the values of the basic variables tocontinue satisfying the system of equations ) corresponds to moving along one ...

Page 288

Use this solution to identify the basic variables and the

optimal solution of the primal problem . Directly derive this solution , using

Gaussian elimination . ( a ) How would you identify the optimal solution for the

dual ...

Use this solution to identify the basic variables and the

**nonbasic variables**for theoptimal solution of the primal problem . Directly derive this solution , using

Gaussian elimination . ( a ) How would you identify the optimal solution for the

dual ...

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### Contents

SUPPLEMENT TO APPENDIX 3 | 3 |

Problems | 6 |

An Algorithm for the Assignment Problem | 18 |

Copyright | |

57 other sections not shown

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### Common terms and phrases

activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary calculations called capacity changes coefficients column complete Consider constraints construct corresponding cost CPF solution demand described determine direction distribution dual problem entering equal equations estimates example feasible FIGURE final flow problem Formulate functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path plant possible presented primal problem Prob procedure profit programming problem provides range resource respective resulting revised Select shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit values weeks Wyndor Glass zero