## 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 115

The

The

**slack**variable for this constraint is defined to be X3 = 4 - X1 , which is the amount of**slack**in the left - hand side of the inequality . Thus , = X1 + X3 = 4 . Given this equation , x1 ≤ 4 if and only if 4 x1 = x3 = 0.Page 214

Thus , just as stated in the verbal description of the fundamental insight , the coefficients of the

Thus , just as stated in the verbal description of the fundamental insight , the coefficients of the

**slack**variables in the new tableau do indeed provide a record of the algebraic ...Page 484

The

The

**slack**for an activity is the difference between its latest finish time and its earliest fin- ish time . In symbols ,**Slack**= LF - EF . ( Since LF EF = LS - ES , either difference actually can be used to calculate**slack**. ) ...### 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