## 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 76

Page 159

...

...

**gives**the value of each constraint's left - hand side for the optimal solution . The next two columns**give**the shadow price and the current value of the right - hand side ( b ; ) for each constraint . When just one b¡ value is then ...Page 170

...

...

**gives**the difference between the two sides of each constraint . The Dual Prices column**gives**, by another name , the shadow prices discussed in Sec . 4.7 for these constraints . ' ( This alternate name comes from the fact found in Sec ...Page 231

...

...

**gives**the coefficients of a single variable in the respective constraints and then in the objective function , whereas each row ( except the bottom one )**gives**the param- eter's for a single contraint . For the dual problem , each row ...### 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