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 129
First , all the tied basic variables reach zero simultaneously as the entering basic variable is increased . Therefore , the one or ones not chosen to be the leaving basic variable also will have a value of zero in the new BF solution .
First , all the tied basic variables reach zero simultaneously as the entering basic variable is increased . Therefore , the one or ones not chosen to be the leaving basic variable also will have a value of zero in the new BF solution .
Page 726
However , the focus in this chapter is on the simplest case , called two - person , zero - sum games . As the name implies , these games involve only two adversaries or players ( who may be armies , teams , firms , and so on ) .
However , the focus in this chapter is on the simplest case , called two - person , zero - sum games . As the name implies , these games involve only two adversaries or players ( who may be armies , teams , firms , and so on ) .
Page 1160
Strictly concave if and only if d ? f ( x ) < 0 for all dx2 possible values of x Note that a strictly convex function also is convex , but a convex function is not strictly convex if the second derivative equals zero for some values of ...
Strictly concave if and only if d ? f ( x ) < 0 for all dx2 possible values of x Note that a strictly convex function also is convex , but a convex function is not strictly convex if the second derivative equals zero for some values of ...
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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 |