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 235
... variables ) of the current tableau must be in- feasible for the dual problem . However , after the goal is reached , the corresponding y must be an optimal solution ... surplus variable indicates 6.1 THE ESSENCE OF DUALITY THEORY 235.
... variables ) of the current tableau must be in- feasible for the dual problem . However , after the goal is reached , the corresponding y must be an optimal solution ... surplus variable indicates 6.1 THE ESSENCE OF DUALITY THEORY 235.
Page 242
... variables in the current BF solution to see which ones can provide a more profitable use of the re- sources by being ... surplus ( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) ...
... variables in the current BF solution to see which ones can provide a more profitable use of the re- sources by being ... surplus ( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) ...
Page 243
... variables in primal and dual problems Associated Dual Variable Z ; - C ; ( surplus variable ) j = 1 , 2 , y ; ( decision variable ) i = 1 , 2 , Decision variables : x1 Z1 · C1 ( surplus variables ) X2 Z2 C2 Wyndor problem Slack ...
... variables in primal and dual problems Associated Dual Variable Z ; - C ; ( surplus variable ) j = 1 , 2 , y ; ( decision variable ) i = 1 , 2 , Decision variables : x1 Z1 · C1 ( surplus variables ) X2 Z2 C2 Wyndor problem Slack ...
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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 described 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 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 simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero