## 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 66

Page 120

... variable from zero ( while adjusting the values of the basic vari- ables to continue satisfying the system of ...

... variable from zero ( while adjusting the values of the basic vari- ables to continue satisfying the system of ...

**entering basic variable**for iteration 1 . At any iteration of the simplex method , the purpose of step 1 is to choose ...Page 129

... basic variables reach zero simultaneously as the

... basic variables reach zero simultaneously as the

**entering basic variable**is in- creased . Therefore , the one or ones not chosen to be the leaving basic variable also will have a value of zero in the new BF solution . ( Note that basic ...Page 377

... basic variable from zero sets off a chain reaction of compensating changes in other basic variables ( allocations ) ...

... basic variable from zero sets off a chain reaction of compensating changes in other basic variables ( allocations ) ...

**entering basic variable**, the chain reaction in Table 8.20 is the rela- tively simple one summarized in Table ...### 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 corresponding cost Courseware CPF solution CPLEX decision variables dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject 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 simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero