Introduction to Operations Research, Volume 1CD-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 199
... surplus variable x ,, . + i Thus , whenever a constraint boundary equation is one of the defining equations for a ... variables , and the rest of the variables are nonbasic vari- ables set equal to zero . ( The number of nonbasic ...
... surplus variable x ,, . + i Thus , whenever a constraint boundary equation is one of the defining equations for a ... variables , and the rest of the variables are nonbasic vari- ables set equal to zero . ( The number of nonbasic ...
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 This surplus is Zj - Cj = m aijyi- cj , for j = 1 , 2 , n . ... " - Thus , z - c , plays the role of the surplus variable ...
... surplus ( rather than adding the slack ) from the left - hand side of each constraint j ( j = 1 , 2 , . . . , n ) .1 This surplus is Zj - Cj = m aijyi- cj , for j = 1 , 2 , n . ... " - Thus , z - c , plays the role of the surplus variable ...
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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 corresponding cost Courseware CPF solution CPLEX decision variables 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 interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject 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 right-hand sides sensitivity analysis shadow prices simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero