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 136
... right - hand side is nega- tive , multiply through both sides by -1 first . ) Negative Right - Hand Sides The technique mentioned in the preceding sentence for dealing with an equality constraint with a negative right - hand side ...
... right - hand side is nega- tive , multiply through both sides by -1 first . ) Negative Right - Hand Sides The technique mentioned in the preceding sentence for dealing with an equality constraint with a negative right - hand side ...
Page 159
... right - hand side over which the current optimal BF solution ( with adjusted values ' for the basic vari- ables ) remains feasible , assuming no change in the other right - hand sides . Thus , using the lower table in Fig . 4.10 ...
... right - hand side over which the current optimal BF solution ( with adjusted values ' for the basic vari- ables ) remains feasible , assuming no change in the other right - hand sides . Thus , using the lower table in Fig . 4.10 ...
Page 267
... Hand Sides . When multiple b ; values are changed simultaneously , the formula b * = S * b can again be used to see how the right- hand sides change in the final tableau . If all these right - hand sides still are nonnegative , the ...
... Hand Sides . When multiple b ; values are changed simultaneously , the formula b * = S * b can again be used to see how the right- hand sides change in the final tableau . If all these right - hand sides still are nonnegative , the ...
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