## 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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**optimal**, each with Z = 18 . 8 10 X1 on the line segment connecting ( 2 , 6 ) and ( 4 , 3 ) would be**optimal**. This case is illustrated in Fig . 3.5 . As in this case , any problem having multiple**optimal**solutions will have an infi ...Page 223

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**optimal**solution . 5.1-12 . Label each of the following statements about linear pro- gramming problems as true or false , and then justify your answer . ( a ) If a feasible solution is**optimal**but not a CPF solution , then infinitely ...Page 278

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**optimal**solution is ( 4,3 ) . When c2 is increased , this solution remains**optimal**only for c2 ≤ 4. For c2 ≥ 4 , ( 0 , 2 ) becomes**optimal**( with a tie at c2 = 4 ) , because of the constraint boundary 3x + 4x2 = 18. When c2 is ...### 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 dual problem dual simplex method dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal programming 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 slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero