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 287
... lution . What does this degeneracy imply about the dual problem ? Why ? Is the converse also true ? 6.3-5 . Consider the following problem . Maximize Z = 2x1 4x2 , - subject to and x1 x2≤1 X2 ≥ 0 . ( a ) Construct the dual problem ...
... lution . What does this degeneracy imply about the dual problem ? Why ? Is the converse also true ? 6.3-5 . Consider the following problem . Maximize Z = 2x1 4x2 , - subject to and x1 x2≤1 X2 ≥ 0 . ( a ) Construct the dual problem ...
Page 303
... lution ? Would it change if the true value were 10 percent more than the estimated value ? Make a resulting recommendation about where to focus further work in estimating the cost parameters more closely . ( d ) Consider the case where ...
... lution ? Would it change if the true value were 10 percent more than the estimated value ? Make a resulting recommendation about where to focus further work in estimating the cost parameters more closely . ( d ) Consider the case where ...
Page 342
... lution for the following problem as a function of 0 , for 0 ≤ 0≤ 20 . Maximize Z ( 0 ) = ( 20 + 40 ) x1 + ( 30 - 30 ) x2 + 5x3 , subject to 3x1 + 3x2 + x3 ≤ 30 8x1 + 6x2 + 4x3 ≤75 X2 ≥ 0 , X3 ≥ 0 . 1 ( a ) Use parametric linear ...
... lution for the following problem as a function of 0 , for 0 ≤ 0≤ 20 . Maximize Z ( 0 ) = ( 20 + 40 ) x1 + ( 30 - 30 ) x2 + 5x3 , subject to 3x1 + 3x2 + x3 ≤ 30 8x1 + 6x2 + 4x3 ≤75 X2 ≥ 0 , X3 ≥ 0 . 1 ( a ) Use parametric linear ...
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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