## 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 23

Page 235

... variables ) of the current tableau must be in- feasible for the dual problem . However , after the goal is reached , the corresponding y must be an optimal solution ...

... variables ) of the current tableau must be in- feasible for the dual problem . However , after the goal is reached , the corresponding y must be an optimal solution ...

**surplus variable**indicates 6.1 THE ESSENCE OF DUALITY THEORY 235.Page 242

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**variables**in the current BF solution to see which ones can provide a more profitable use of the re- sources by being ...**surplus**( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) ...Page 243

... variable ) Xn + i TABLE 6.7 Association between variables in primal and dual problems Primal Variable Associated Dual Variable Z ; - C ; (

... variable ) Xn + i TABLE 6.7 Association between variables in primal and dual problems Primal Variable Associated Dual Variable Z ; - C ; (

**surplus variable**) j = 1 , 2 , y ; ( decision variable ) i = 1 , 2 , Decision variables : x1 Z1 C1 ( ...### 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