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 250
14 Corresponding primal - dual forms Primal Problem ( or Dual Problem ) Dual
Problem ( or Primal Problem ) Label Maximize Z ( or W ) Minimize W ( or Z )
Sensible Odd Bizarre Constraint i ; s formt = formt > form + Variable yi ( or xi ) : - Y
; 20 ...
14 Corresponding primal - dual forms Primal Problem ( or Dual Problem ) Dual
Problem ( or Primal Problem ) Label Maximize Z ( or W ) Minimize W ( or Z )
Sensible Odd Bizarre Constraint i ; s formt = formt > form + Variable yi ( or xi ) : - Y
; 20 ...
Page 287
For any linear programming problem in our standard form and its dual problem ,
label each of the following statements as ... constraints and the number of
variables ( before augmenting ) is the same for both the primal and the dual
problems .
For any linear programming problem in our standard form and its dual problem ,
label each of the following statements as ... constraints and the number of
variables ( before augmenting ) is the same for both the primal and the dual
problems .
Page 288
sic solution for the dual problem by using Eq . ( 0 ) for the pri - mal problem . Then
draw your conclusions about whether these two basic solutions are optimal for
their respective problems . 1 ( d ) Solve the dual problem graphically . Use this ...
sic solution for the dual problem by using Eq . ( 0 ) for the pri - mal problem . Then
draw your conclusions about whether these two basic solutions are optimal for
their respective problems . 1 ( d ) Solve the dual problem graphically . Use this ...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
An Algorithm for the Assignment Problem | 18 |
Copyright | |
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Common terms and phrases
activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary calculations called capacity changes coefficients column complete Consider constraints construct corresponding cost CPF solution demand described determine direction distribution dual problem entering equal equations estimates example feasible FIGURE final flow problem Formulate 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 resource respective resulting revised Select 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 |