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 37
X2 A Z = 18 = 3x + 2x2 Maximize Z = 3x1 + 2x2 , subject to X1 < 4 2x2 < 12 3x + 2x2 = 18 and X120 , 8 x220 6 4 Every point on this darker line segment is optimal , each with Z = 18 . Feasible region 2 FIGURE 3.5 The Wyndor Glass Co.
X2 A Z = 18 = 3x + 2x2 Maximize Z = 3x1 + 2x2 , subject to X1 < 4 2x2 < 12 3x + 2x2 = 18 and X120 , 8 x220 6 4 Every point on this darker line segment is optimal , each with Z = 18 . Feasible region 2 FIGURE 3.5 The Wyndor Glass Co.
Page 130
The model probably has been misformulated , either by omitting relevant constraints or by stating them incorrectly . Alternatively , a computational mistake may have occurred . Multiple Optimal Solutions We mentioned in Sec .
The model probably has been misformulated , either by omitting relevant constraints or by stating them incorrectly . Alternatively , a computational mistake may have occurred . Multiple Optimal Solutions We mentioned in Sec .
Page 278
With the current value of C2 = 3 , the optimal solution is ( 4 , Ž ) . When c2 is increased , this solution remains optimal only for c2 < 4. For c2 2 4 , ( 0 , 2 ) becomes optimal ( with a tie at c2 = 4 ) , because of the constraint ...
With the current value of C2 = 3 , the optimal solution is ( 4 , Ž ) . When c2 is increased , this solution remains optimal only for c2 < 4. For c2 2 4 , ( 0 , 2 ) becomes optimal ( with a tie at c2 = 4 ) , because of the constraint ...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
SUPPLEMENT TO CHAPTER | 18 |
Copyright | |
52 other sections not shown
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Common terms and phrases
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 |