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
This x is feasible for the primal problem , but this y is not feasible for the dual
problem ( since it violates the constraint , yı + 3y3 = 3 ) . The complementary
solutions property also holds at the final iteration of the simplex method , where
an ...
This x is feasible for the primal problem , but this y is not feasible for the dual
problem ( since it violates the constraint , yı + 3y3 = 3 ) . The complementary
solutions property also holds at the final iteration of the simplex method , where
an ...
Page 286
( a ) Construct the dual problem . ( b ) Use duality theory to show that the optimal
solution for the primal problem has Z < 0 . 6 . 1 - 9 . Construct and graph a primal
problem with two decision variables and two functional constraints that has ...
( a ) Construct the dual problem . ( b ) Use duality theory to show that the optimal
solution for the primal problem has Z < 0 . 6 . 1 - 9 . Construct and graph a primal
problem with two decision variables and two functional constraints that has ...
Page 287
( b ) At each iteration , the simplex method simultaneously identifies a CPF
solution for the primal problem and a CPF solution for the dual problem such that
their objective function values are the same . ( c ) If the primal problem has an ...
( b ) At each iteration , the simplex method simultaneously identifies a CPF
solution for the primal problem and a CPF solution for the dual problem such that
their objective function values are the same . ( c ) If the primal problem has an ...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
An Algorithm for the Assignment Problem | 18 |
Copyright | |
57 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 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 |