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 115
... original con- straint x ≤ 4 is entirely equivalent to the pair of constraints X1 + X3 = 4 and X3 ≥ 0 . Upon the introduction of slack variables for the other functional constraints , the original linear programming model for the ...
... original con- straint x ≤ 4 is entirely equivalent to the pair of constraints X1 + X3 = 4 and X3 ≥ 0 . Upon the introduction of slack variables for the other functional constraints , the original linear programming model for the ...
Page 253
... original model because they seemed less attractive . Or perhaps these other activities did not come to light until after the original model was formulated and solved . Either way , the key question is whether any of these previously ...
... original model because they seemed less attractive . Or perhaps these other activities did not come to light until after the original model was formulated and solved . Either way , the key question is whether any of these previously ...
Page 256
... original model would change the numbers in the final sim- plex tableau ( assuming that the same sequence of algebraic operations originally per- formed by the simplex method were to be duplicated ) . Therefore , after making a few sim ...
... original model would change the numbers in the final sim- plex tableau ( assuming that the same sequence of algebraic operations originally per- formed by the simplex method were to be duplicated ) . Therefore , after making a few sim ...
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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