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 ... surplus variables for the functional constraints in the dual problem , so the full dual problem after augmenting ...
... variables ) of the current tableau must be in- feasible for the dual problem . However , after the goal is reached ... surplus variables for the functional constraints in the dual problem , so the full dual problem after augmenting ...
Page 242
... surplus ( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) .1 ... variables , each basic solution has n basic vari- ables and m nonbasic variables . ( Note how m and n reverse ...
... surplus ( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) .1 ... variables , each basic solution has n basic vari- ables and m nonbasic variables . ( Note how m and n reverse ...
Page 243
... ( surplus variables ) Any problem ( Decision variable ) x ( Slack variable ) Xn + i Decision variables : x1 Z1 X2 Z2 - C2 Wyndor problem Slack variables : X3 Ут X4 Y2 X5 Уз ( decision variables ) , n m row 0 , each variable in the ...
... ( surplus variables ) Any problem ( Decision variable ) x ( Slack variable ) Xn + i Decision variables : x1 Z1 X2 Z2 - C2 Wyndor problem Slack variables : X3 Ут X4 Y2 X5 Уз ( decision variables ) , n m row 0 , each variable in the ...
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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