## Introduction to Operations ResearchCD-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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**tableau**are 1 0 1 0 0 4 Old rows 1-3 = = 0 20 1 0 12 3 20 0 1 18 where the third , fourth , and fifth columns ( the ...**tableau**, because the coefficients of the slack variables in rows 1 to 3 of the initial**tableau**form an identity ...Page 216

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**tableau**will reveal how this**tableau**has been obtained from the initial**tableau**. Furthermore , the same algebraic operations would give these same coefficients even if the values of some of the parameters in the original model ( initial ...Page 259

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**tableau**are unchanged . However , because other portions of the initial**tableau**have changed , there will be changes in the rest of the final**tableau**as well . Using the formulas in Table 6.17 , we cal- culate the revised numbers in 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 cost Courseware CPLEX decision variables described 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 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 resource right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero