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 286
... graphically that this problem has no feasible so- lutions . ( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an un- bounded objective function . 6.1-9 . Construct and graph a primal problem with ...
... graphically that this problem has no feasible so- lutions . ( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an un- bounded objective function . 6.1-9 . Construct and graph a primal problem with ...
Page 288
... graphically . Use this solution to iden- tify the basic variables and the nonbasic variables for the op- timal solution of the primal problem . Directly derive this so- lution , using Gaussian elimination . 6.3-7 . * Reconsider the ...
... graphically . Use this solution to iden- tify the basic variables and the nonbasic variables for the op- timal solution of the primal problem . Directly derive this so- lution , using Gaussian elimination . 6.3-7 . * Reconsider the ...
Page 640
... graphically . ( b ) Use the MIP branch - and - bound algorithm presented in Sec . 12.7 to solve this problem by hand . For each subproblem , solve its LP relaxation graphically . ( c ) Use the binary representation for integer variables ...
... graphically . ( b ) Use the MIP branch - and - bound algorithm presented in Sec . 12.7 to solve this problem by hand . For each subproblem , solve its LP relaxation graphically . ( c ) Use the binary representation for integer variables ...
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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