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 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 for the sim- plex method ( see Sec . 4.3 ) to the following for the transportation problem : Cij - Optimality test : A BF solution is optimal if and only if c ;; u ; - v ; ≥ 0 for every ( i , j ) such that x ,, is ...
... optimality test for the sim- plex method ( see Sec . 4.3 ) to the following for the transportation problem : Cij - Optimality test : A BF solution is optimal if and only if c ;; u ; - v ; ≥ 0 for every ( i , j ) such that x ,, is ...
Page 447
... Optimality Test : At this point , the algorithm would attempt to use Figs . 9.25 and 9.26 to find the next entering basic variable with the usual calculations shown in Table 9.6 . However , none of the nonbasic arcs gives a negative ...
... Optimality Test : At this point , the algorithm would attempt to use Figs . 9.25 and 9.26 to find the next entering basic variable with the usual calculations shown in Table 9.6 . However , none of the nonbasic arcs gives a negative ...
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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