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. |
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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.1 Since the ...
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.1 Since the ...
Page 174
... answer . ( a ) For minimization problems , if the objective function evaluated at a CPF 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 ...
... answer . ( a ) For minimization problems , if the objective function evaluated at a CPF 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 ...
Page 222
... CPF 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 ...
... CPF 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 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 subject 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