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 216
... tableau . Furthermore , the same algebraic operations would give these same coefficients even if the values of some of the parameters in the original model ( initial tableau ) ... final simplex tableaux 216 5 THE THEORY OF THE SIMPLEX METHOD.
... tableau . Furthermore , the same algebraic operations would give these same coefficients even if the values of some of the parameters in the original model ( initial tableau ) ... final simplex tableaux 216 5 THE THEORY OF THE SIMPLEX METHOD.
Page 217
... final simplex tableaux in matrix form , Initial Tableau Row 0 : illustrated by the Wyndor Glass Co. problem t = [ -3 , -5 0 , 0 , 0 ¦ 0 ] = [ −c ¦ 0 ¦ 0 ] . 1 0 : 1 0 0 4 Other rows : T = 0 20 1 0 12 = [ AI b ] . 3 2 0 0 1 18 Combined ...
... final simplex tableaux in matrix form , Initial Tableau Row 0 : illustrated by the Wyndor Glass Co. problem t = [ -3 , -5 0 , 0 , 0 ¦ 0 ] = [ −c ¦ 0 ¦ 0 ] . 1 0 : 1 0 0 4 Other rows : T = 0 20 1 0 12 = [ AI b ] . 3 2 0 0 1 18 Combined ...
Page 259
... tableau are unchanged . However , because other portions of the initial tableau have changed , there will be changes in the rest of the final tableau as well . Using the formulas in Table 6.17 , we cal- culate the revised numbers in the ...
... tableau are unchanged . However , because other portions of the initial tableau have changed , there will be changes in the rest of the final tableau as well . Using the formulas in Table 6.17 , we cal- culate the revised numbers in the ...
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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