## 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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**entering**basic variable for the current iteration ( because it is**entering**the basis ) . Determining Where to Stop ( Step 2 of an Iteration ) Step 2 addresses the question of how far to increase the**entering**basic variable x2 before ...Page 178

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**entering**basic variable and the leaving basic variable . I ( c ) Continue from part ( b ) to work through the simplex method step by step to solve the problem . 4.6-2 . Consider the following problem . Maximize subject to Z = 4x1 + 2x2 ...Page 377

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**entering**basic variable , the chain reaction in Table 8.20 is the rela- tively simple one summarized in Table 8.21 . ( We shall always indicate the**entering**basic variable by placing a boxed plus sign in the center of its cell while ...### 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 constraint boundary 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 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