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 17
... variables and n nonbasic variables . Let B denote the collection of indices from { 1 , 2 , . . . , n + m } corresponding to the basic variables , and let N denote the indices corresponding to the nonbasic variables . Initially , we have ...
... variables and n nonbasic variables . Let B denote the collection of indices from { 1 , 2 , . . . , n + m } corresponding to the basic variables , and let N denote the indices corresponding to the nonbasic variables . Initially , we have ...
Page 144
... variables, m constraints and (n + m) nonnegativity constraints for a total of 2m + n constraints. A simplex tableau ... nonbasic variables. Definition 3.6: A basic solution is called a basic feasible solution (BFS) if the current values ...
... variables, m constraints and (n + m) nonnegativity constraints for a total of 2m + n constraints. A simplex tableau ... nonbasic variables. Definition 3.6: A basic solution is called a basic feasible solution (BFS) if the current values ...
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... variables. Continuing inthis manner, onereaches apoint where nofurther change inthe value of a nonbasic variableproduces any decreaseinthe value off.Since f isa convex function,a global maximum is reached. The justification for these ...
... variables. Continuing inthis manner, onereaches apoint where nofurther change inthe value of a nonbasic variableproduces any decreaseinthe value off.Since f isa convex function,a global maximum is reached. The justification for these ...
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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