## 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

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**equals**the number of functional constraints ( now equa- tions ) . Therefore , the number of nonbasic variables**equals**the total number of vari- ables minus the number of functional constraints . 3. The nonbasic variables are set**equal**...Page 241

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**equal**( as opposed to exceeding ) the unit profit from this activity . The second state- ment implies that the marginal value of resource i is zero ( y ; = 0 ) whenever the supply of this resource is not exhausted by the activities ( xn ...Page 487

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**equal**weights on the other two estimates . MS Project provides the option of calculating μ for each activity with this formula . Choosing Table : PA_PERT Entry under the View menu enables entering the three types of estimates for the ...### 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