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 238
... dual prob- lem can be solved directly by the simplex method in order to identify an optimal solution for the primal problem . We discussed in Sec . 4.8 that the number of functional constraints affects the computational effort of the ...
... dual prob- lem can be solved directly by the simplex method in order to identify an optimal solution for the primal problem . We discussed in Sec . 4.8 that the number of functional constraints affects the computational effort of the ...
Page 309
... simplex method - that will routinely solve the large- size problems that typically arise in practice . However , the simplex method is only part of the arsenal of algorithms regularly used by linear programming ... Dual Simplex Method.
... simplex method - that will routinely solve the large- size problems that typically arise in practice . However , the simplex method is only part of the arsenal of algorithms regularly used by linear programming ... Dual Simplex Method.
Page 310
... dual simplex method deals with a problem as if the simplex method were being applied simultaneously to its dual problem . If we make their initial basic so- lutions complementary , the two methods move in complete sequence , obtaining ...
... dual simplex method deals with a problem as if the simplex method were being applied simultaneously to its dual problem . If we make their initial basic so- lutions complementary , the two methods move in complete sequence , obtaining ...
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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