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 237
... primal problem , then y is not feasible for the dual problem . To illustrate , after one iteration for the Wyndor Glass Co. problem , x1 = 0 , x2 = 6 , and Y1 = 0 , y2 = 2 , y3 = 0 , with cx = 30 = yb . This x is feasible for the primal ...
... primal problem , then y is not feasible for the dual problem . To illustrate , after one iteration for the Wyndor Glass Co. problem , x1 = 0 , x2 = 6 , and Y1 = 0 , y2 = 2 , y3 = 0 , with cx = 30 = yb . This x is feasible for the primal ...
Page 250
... Primal Problem ( or Dual Problem ) Maximize Z ( or W ) Constraint i : Dual Problem ( or Primal Problem ) Minimize W ( or Z ) Variable Yi ( or x , ) : Sensible Odd Bizarre ≤ form = form > form Y1 = 0 → Unconstrained yi ≤ 0 Variable ...
... Primal Problem ( or Dual Problem ) Maximize Z ( or W ) Constraint i : Dual Problem ( or Primal Problem ) Minimize W ( or Z ) Variable Yi ( or x , ) : Sensible Odd Bizarre ≤ form = form > form Y1 = 0 → Unconstrained yi ≤ 0 Variable ...
Page 287
... primal and the dual problems . ( b ) At each iteration , the simplex method simultaneously identi- fies a CPF solution for the primal ... problem by using Eq . CHAPTER 6 PROBLEMS 287.
... primal and the dual problems . ( b ) At each iteration , the simplex method simultaneously identi- fies a CPF solution for the primal ... problem by using Eq . CHAPTER 6 PROBLEMS 287.
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 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