## 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 60

Page 118

...

...

**algebraic**concepts of the simplex method , we begin by outlining side by side in Table 4.2 how the simplex method solves this example from both a geometric and an**algebraic**viewpoint . The geometric viewpoint ( first presented in Sec ...Page 207

...

...

**algebraic**operation would go into the spot needed to have the matrix mul- tiplication perform this operation . Even after a series of**algebraic**operations over several iterations , we still can deduce what this matrix must be ...Page 214

...

...

**algebraic**operations amount to pre- multiplying rows 1 to 3 of the initial tableau by the matrix 1 0 0 12 0 -1 1 ...**algebraic**operations performed . This insight is not much to get excited about after just one iteration , since you can ...### 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 cost CPF solution CPLEX decision variables described 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 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 shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero