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. |
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Page 113
Frederick S. Hillier, Gerald J. Lieberman. Solution concept 1 : The simplex method focuses solely on CPF solutions . For any problem with at least one optimal solution , finding one requires only find- ing a best CPF solution . ' Since ...
Frederick S. Hillier, Gerald J. Lieberman. Solution concept 1 : The simplex method focuses solely on CPF solutions . For any problem with at least one optimal solution , finding one requires only find- ing a best CPF solution . ' Since ...
Page 174
... solution is no larger than its value at every adjacent CPF solution , then that solution is optimal . ( b ) Only CPF solutions can be optimal , so the number of optimal solutions cannot exceed the number of CPF solutions . ( c ) If ...
... solution is no larger than its value at every adjacent CPF solution , then that solution is optimal . ( b ) Only CPF solutions can be optimal , so the number of optimal solutions cannot exceed the number of CPF solutions . ( c ) If ...
Page 222
... solutions by circling them on the graph . ( b ) Develop a table giving each of the CPF solutions and the cor- responding defining equations , BF solution , and nonbasic vari- ables . Calculate Z for each of these solutions , and use ...
... solutions by circling them on the graph . ( b ) Develop a table giving each of the CPF solutions and the cor- responding defining equations , BF solution , and nonbasic vari- ables . Calculate Z for each of these solutions , and use ...
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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