## Introduction to Operations Research, Volume 1CD-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 96

Page 477

...

...

**activity**C , then for**activities**D , E , I , and then for**activities**G , F as well . Figure 10.4 shows ES and EF for each of these**activities**to the right of its node . For example ,**Activity**G : ES EF for**activity**D = = EF = = 22 , 22+ ...Page 481

...

...

**activity**M.**Activity**M : LF : = LS for the FINISH node = 44 , = LS = 44 duration ( 2 weeks ) = 42 . ( Since**activity**M is one of the**activities**that together complete the project , we also could have automatically set its LF equal to ...Page 498

...

...

**activity**A , since an**activity**that begins the project is au- tomatically assigned a value of 0. ) By treating the FINISH node as another**activity**( al- beit one with zero duration ) , as we now will do , this definition of Yj for ...### Other editions - View all

Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |

### Common terms and phrases

activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following cost CPF solution CPLEX decision variables described dual problem dynamic programming entering basic variable example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal goal programming graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero