## 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

Determining the Direction of Movement ( Step 1 of an Iteration )

Determining the Direction of Movement ( Step 1 of an Iteration )

**Increasing**one nonbasic variable from zero ( while adjusting ... 4.1 , the choice of which nonbasic variable to**increase**is made as follows : Z = 3x + 5x2**Increase**xı ?Page 307

These construction projects have been delaying traffic considerably and are likely to affect the cost of bussing students from area 6 , perhaps

These construction projects have been delaying traffic considerably and are likely to affect the cost of bussing students from area 6 , perhaps

**increasing**them as much as 10 percent . ( c ) Use the report from part ( b ) to check how ...Page 807

... model is changed so . that the stock's going up tomorrow depends upon whether it

... model is changed so . that the stock's going up tomorrow depends upon whether it

**increased**today and yesterday . In particular , if the stock has**increased**for the past two days , it will**increase**tomorrow with probability 0.9 ...### 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