## 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 75

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**procedure**in a way that demonstrates its duality relationship with the**procedure**for systematic changes in the c ; parameters , we now apply it to the dual problem for the Wyndor Glass Co. ( see Table 6.1 ) . In particular , suppose ...Page 369

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**procedure**for constructing an initial BF solution selects the m + n 1 basic vari- ables one at a time . After each selection , a value that will satisfy one additional constraint ( thereby eliminating that constraint's row or column ...Page 628

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**procedure**to confirm these results . ) A constraint in form can be converted to sides by 1 ) to apply this**procedure**directly . form ( by multiplying through both Generating Cutting Planes for Pure BIP A cutting plane ( or cut ) for any ...### 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