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 237
If x is not optimal for the primal problem , then y is not feasible for the dual problem . To illustrate , after one iteration for the Wyndor Glass Co. problem , xı = 0 , X2 = 6 , and yı = 0 , yz = , yz = 0 , with cx = 30 = yb .
If x is not optimal for the primal problem , then y is not feasible for the dual problem . To illustrate , after one iteration for the Wyndor Glass Co. problem , xı = 0 , X2 = 6 , and yı = 0 , yz = , yz = 0 , with cx = 30 = yb .
Page 287
For any linear programming problem in our standard form 6.3-3 . Consider the primal and dual problems for the Wyndor Glass and its dual problem , label each of the following statements as true Co. example given in Table 6.1 .
For any linear programming problem in our standard form 6.3-3 . Consider the primal and dual problems for the Wyndor Glass and its dual problem , label each of the following statements as true Co. example given in Table 6.1 .
Page 288
sic solution for the dual problem by using Eq . ( 0 ) for the primal problem . Then draw your conclusions about whether these two basic solutions are optimal for their respective problems . 1 ( d ) Solve the dual problem graphically .
sic solution for the dual problem by using Eq . ( 0 ) for the primal problem . Then draw your conclusions about whether these two basic solutions are optimal for their respective problems . 1 ( d ) Solve the dual problem graphically .
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
SUPPLEMENT TO CHAPTER | 18 |
Copyright | |
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activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraint Construct corresponding cost CPF solution decision variables demand described determine distribution dual problem entering equal equations estimates example feasible feasible region feasible solutions FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path plant possible presented primal problem Prob procedure profit programming problem provides range remaining resource respective resulting revised shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit values weeks Wyndor Glass zero
Bibliographic information
| Title | Introduction to Operations Research McGraw-Hill International Editions 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 | Pennsylvania State University |
| Digitized | 26 Aug 2009 |
| ISBN | 0071181636, 9780071181631 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |