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 120
... increase is made as follows : Increase x1 ? Increase x2 ? Z = 3x1 + 5x2 Rate of improvement in Z = 3 . Rate of improvement in Z = 5 . 5 > 3 , so choose x2 to increase . As indicated next , we call x2 the entering basic variable for ...
... increase is made as follows : Increase x1 ? Increase x2 ? Z = 3x1 + 5x2 Rate of improvement in Z = 3 . Rate of improvement in Z = 5 . 5 > 3 , so choose x2 to increase . As indicated next , we call x2 the entering basic variable for ...
Page 158
... Increase Decrease $ C $ 9 Solution Doors 2 0 3 $ D $ 9 Solution Windows 6 0 5 4.5 1E + 30 3 3 Constraints Final Shadow Cell $ E $ 5 Plant 1 Totals $ E $ 6 Plant 2 Totals $ E $ 7 Plant 3 Totals Name Value Price R.H. Side Constraint ...
... Increase Decrease $ C $ 9 Solution Doors 2 0 3 $ D $ 9 Solution Windows 6 0 5 4.5 1E + 30 3 3 Constraints Final Shadow Cell $ E $ 5 Plant 1 Totals $ E $ 6 Plant 2 Totals $ E $ 7 Plant 3 Totals Name Value Price R.H. Side Constraint ...
Page 307
... increase ( assuming no change in the costs for the other schools ) before the current op- timal solution would no longer be optimal . If the allowable increase is less than 10 percent , re - solve to find the new optimal solution with a ...
... increase ( assuming no change in the costs for the other schools ) before the current op- timal solution would no longer be optimal . If the allowable increase is less than 10 percent , re - solve to find the new optimal solution with a ...
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