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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Results 1-3 of 68
Page 119
... Optimality test Iteration 1 Step 1 Step 2 Step 3 Optimality test Iteration 2 Step 1 Step 2 Step 3 Optimality test solution . Not optimal , because moving along either edge from ( 0 , 0 ) increases Z. Move up the edge lying on the x2 ...
... Optimality test Iteration 1 Step 1 Step 2 Step 3 Optimality test Iteration 2 Step 1 Step 2 Step 3 Optimality test solution . Not optimal , because moving along either edge from ( 0 , 0 ) increases Z. Move up the edge lying on the x2 ...
Page 375
... Optimality test : A BF solution is optimal if and only if c¡¡ — u ; − v ; ≥ 0 for every ( i , j ) such that x , is nonbasic . ' Xij Thus , the only work required by the optimality test is the derivation of the values of u and for the ...
... Optimality test : A BF solution is optimal if and only if c¡¡ — u ; − v ; ≥ 0 for every ( i , j ) such that x , is nonbasic . ' Xij Thus , the only work required by the optimality test is the derivation of the values of u and for the ...
Page 618
... test 3. Before , with a pure IP problem , the test was that the optimal so- lution for the subproblem's LP ... optimality test described below to the whole problem . If not fathomed , classify this problem as the one remaining subproblem ...
... test 3. Before , with a pure IP problem , the test was that the optimal so- lution for the subproblem's LP ... optimality test described below to the whole problem . If not fathomed , classify this problem as the one remaining subproblem ...
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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 CPF solution CPLEX decision variables described dual problem dynamic programming entering basic variable example feasible region feasible solutions final simplex tableau final tableau following problem formulation functional constraints Gaussian elimination given goal goal programming graphical identify increase initial BF solution integer interior-point 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 right-hand sides sensitivity analysis shadow prices shown simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero