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 603
... LP relaxation cannot X2 3 The rounded solutions are not feasible 2 ) 2 be rounded in any way that retains feasibility . 0 FIGURE 12.3 An example where rounding the optimal solution for the LP relaxation is far from optimal for the IP ...
... LP relaxation cannot X2 3 The rounded solutions are not feasible 2 ) 2 be rounded in any way that retains feasibility . 0 FIGURE 12.3 An example where rounding the optimal solution for the LP relaxation is far from optimal for the IP ...
Page 618
... LP relaxation was rounded down to obtain the bound , because any feasible solution for the subproblem must have an integer Z. Now , with some of the variables not integer - restricted , the bound is the value of Z without rounding down ...
... LP relaxation was rounded down to obtain the bound , because any feasible solution for the subproblem must have an integer Z. Now , with some of the variables not integer - restricted , the bound is the value of Z without rounding down ...
Page 619
... LP relaxation of this problem by deleting the set of constraints that x , is an integer for j = 1 , 2 , 3. Applying the simplex method to this LP relaxation yields its optimal solution below . LP relaxation of whole problem : ( X1 , X2 ...
... LP relaxation of this problem by deleting the set of constraints that x , is an integer for j = 1 , 2 , 3. Applying the simplex method to this LP relaxation yields its optimal solution below . LP relaxation of whole problem : ( X1 , X2 ...
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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 described 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 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 simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion unit profit values weeks Wyndor Glass x₁ zero