## 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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[ 40 ] 1 - 30 ] 9 ( - 0 ) D 40 3 ( - 0 ) 3 ( 0 )

costs of adding arc A → C with flow to the initial feasible spanning tree . [ 50 ] [ -

60 ] Now what is the incremental effect on Z ( total flow cost ) from adding the flow

...

[ 40 ] 1 - 30 ] 9 ( - 0 ) D 40 3 ( - 0 ) 3 ( 0 )

**FIGURE**9 . 19 The incremental effect oncosts of adding arc A → C with flow to the initial feasible spanning tree . [ 50 ] [ -

60 ] Now what is the incremental effect on Z ( total flow cost ) from adding the flow

...

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The rest of this

example , since activity D has a latest start time of 20 ( versus an earliest start

time of 16 ) , its weekly cost of $ 43 , 333 now begins in week 21 rather than week

17 ...

The rest of this

**figure**then is generated in the same way as for Fig . 10 . 15 . Forexample , since activity D has a latest start time of 20 ( versus an earliest start

time of 16 ) , its weekly cost of $ 43 , 333 now begins in week 21 rather than week

17 ...

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1

function . M havior at x = 1 . ) Applying the definition of a concave function , we

see that if 0 < x < 1 and x " > 1 ( as shown in Fig . A2 . 3 ) , then the entire line ...

1

**FIGURE**A2 . 5 A function that is both convex. f ( x ) A**FIGURE**A2 , 1 A convexfunction . M havior at x = 1 . ) Applying the definition of a concave function , we

see that if 0 < x < 1 and x " > 1 ( as shown in Fig . A2 . 3 ) , then the entire line ...

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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