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. |
From inside the book
Results 1-3 of 97
Page 109
... Simplex Method We now are ready to begin studying the simplex method , a general procedure for solving linear programming problems . Developed by George Dantzig in 1947 , it has proved to be a remarkably efficient method that is used ...
... Simplex Method We now are ready to begin studying the simplex method , a general procedure for solving linear programming problems . Developed by George Dantzig in 1947 , it has proved to be a remarkably efficient method that is used ...
Page 178
... method , construct the complete first simplex tableau for the simplex method and identify the corresponding initial ( artificial ) BF solution . Also identify the initial entering basic variable and the leaving basic variable . 1 ( c ) ...
... method , construct the complete first simplex tableau for the simplex method and identify the corresponding initial ( artificial ) BF solution . Also identify the initial entering basic variable and the leaving basic variable . 1 ( c ) ...
Page 310
... simplex method ) . By con- trast , the dual simplex method deals with basic solutions in the primal problem that are dual feasible but not primal feasible . It then moves toward an optimal solution by striv- ing to achieve primal ...
... simplex method ) . By con- trast , the dual simplex method deals with basic solutions in the primal problem that are dual feasible but not primal feasible . It then moves toward an optimal solution by striv- ing to achieve primal ...
Other editions - View all
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