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. |
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Page 286
... Construct the dual problem . ( b ) Use duality theory to show that the optimal solution for the primal problem has Z ≤ 0 . 6.1-6 . Consider the following problem . Z = 2x1 + 6x2 + 9x3 , Maximize subject to X1 + x3≤3 x2 + 2x3≤5 ...
... Construct the dual problem . ( b ) Use duality theory to show that the optimal solution for the primal problem has Z ≤ 0 . 6.1-6 . Consider the following problem . Z = 2x1 + 6x2 + 9x3 , Maximize subject to X1 + x3≤3 x2 + 2x3≤5 ...
Page 288
... Construct its dual problem . ( b ) Solve this dual problem graphically . ( c ) Use the result from part ( b ) to identify the nonbasic variables and basic variables for the optimal BF solution for the primal problem . ( d ) Use the ...
... Construct its dual problem . ( b ) Solve this dual problem graphically . ( c ) Use the result from part ( b ) to identify the nonbasic variables and basic variables for the optimal BF solution for the primal problem . ( d ) Use the ...
Page 289
... construct its dual problem . ( a ) Model in Prob . 4.6-3 ( b ) Model in Prob . 4.6-8 ( c ) Model in Prob . 4.6-18 6.4-7 . Consider the model with equality constraints given in Prob . 4.6-2 . ( a ) Construct its dual problem . ( b ) ...
... construct its dual problem . ( a ) Model in Prob . 4.6-3 ( b ) Model in Prob . 4.6-8 ( c ) Model in Prob . 4.6-18 6.4-7 . Consider the model with equality constraints given in Prob . 4.6-2 . ( a ) Construct its dual problem . ( b ) ...
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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 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
Bibliographic information
| Title | Introduction to Operations Research, Volume 1 Introduction to Operations Research, Frederick S. Hillier McGraw-Hill industrial & plant engineering series McGraw-Hill series in industrial engineering and management science |
| Authors | Frederick S. Hillier, Gerald J. Lieberman |
| Edition | 7, illustrated |
| Publisher | McGraw-Hill, 2001 |
| Original from | the University of Michigan |
| Digitized | 8 Aug 2011 |
| ISBN | 0072321695, 9780072321692 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |