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
( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an unbounded objective function . x1 + x2 + 2x3 = 12 x1 + x2 X3 = 1 and Xi 20 , X220 , X3 20 . 6.1-9 . Construct and graph a primal problem with ...
( b ) Construct the dual problem . ( c ) Demonstrate graphically that the dual problem has an unbounded objective function . x1 + x2 + 2x3 = 12 x1 + x2 X3 = 1 and Xi 20 , X220 , X3 20 . 6.1-9 . Construct and graph a primal problem with ...
Page 287
For any linear programming problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the number ...
For any linear programming problem in our standard form and its dual problem , label each of the following statements as true or false and then justify your answer . ( a ) The sum of the number of functional constraints and the number ...
Page 288
x2 = 0 sic solution for the dual problem by using Eq . ( 0 ) for the pri- ( a ) How would you identify the optimal solution for the dual mal problem . Then draw your conclusions about whether these problem ? two basic solutions are ...
x2 = 0 sic solution for the dual problem by using Eq . ( 0 ) for the pri- ( a ) How would you identify the optimal solution for the dual mal problem . Then draw your conclusions about whether these problem ? two basic solutions are ...
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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 allocation allowable range artificial variables assignment problem augmenting path basic solution Big M method changes coefficients column Consider the following constraint boundary corresponding CPLEX decision variables 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 graphically identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LP relaxation lution Maximize Maximize Z maximum flow problem Minimize needed node nonbasic variables objective function obtained optimal solution optimality test path Plant presented in Sec primal problem Prob procedure range to stay resource right-hand sides sensitivity analysis shadow prices slack variables solve this model Solver spreadsheet step subproblem surplus variables tion transportation problem transportation simplex method 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 |