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 119
... nonbasic variables ( = 0 ) for the initial BF solution : ( 0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x1 or x2 ) increases Z. Increase x2 while adjusting other variable values to satisfy the ...
... nonbasic variables ( = 0 ) for the initial BF solution : ( 0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x1 or x2 ) increases Z. Increase x2 while adjusting other variable values to satisfy the ...
Page 199
... variables , and the rest of the variables are nonbasic vari- ables set equal to zero . ( The number of nonbasic variables equals n plus the number of surplus variables . ) The values of the basic variables are given by the simultaneous ...
... variables , and the rest of the variables are nonbasic vari- ables set equal to zero . ( The number of nonbasic variables equals n plus the number of surplus variables . ) The values of the basic variables are given by the simultaneous ...
Page 200
... nonbasic variable for the current BF solution . ( This case corresponds to a CPF solution that satisfies another con- straint boundary equation in addition to its n defining equations . ) Therefore , it is neces- sary to keep track of ...
... nonbasic variable for the current BF solution . ( This case corresponds to a CPF solution that satisfies another con- straint boundary equation in addition to its n defining equations . ) Therefore , it is neces- sary to keep track of ...
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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