## 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. |

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Page 120

As indicated next , we call x2 the

As indicated next , we call x2 the

**entering**basic variable for iteration 1 . At any iteration of the simplex method , the purpose of step 1 is to choose one nonbasic variable to increase from zero ( while the values of the basic ...Page 178

Also identify the initial

Also identify the initial

**entering**basic variable and the leaving basic variable . 1 ( c ) Work through the simplex method step by step to solve the problem . ( a ) Solve this problem graphically . ( b ) Using the Big M method ...Page 377

Increasing the

Increasing the

**entering**basic variable from zero sets off a chain reaction of compensating changes in other basic variables ( allocations ) , in order to continue satisfying the supply and demand constraints . The first basic variable ...### 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 algebraic algorithm allocation allowable range artificial variables assignment problem augmenting path basic solution Big M method changes coefficients column Consider the following constraint boundary corresponding CPLEX decision variables 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 graphically identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LP relaxation lution Maximize Maximize Z maximum flow problem Minimize needed node nonbasic variables objective function obtained optimal solution optimality test path Plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices slack variables solve this model Solver spreadsheet step subproblem surplus variables tion transportation problem transportation simplex method weeks Wyndor Glass x₁ zero