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 120
Determining the Direction of Movement (Step 1 of an Iteration) Increasing one
nonbasic variable from zero (while adjusting the values of the basic variables to
continue satisfying the system of equations) corresponds to moving along one
edge ...
Determining the Direction of Movement (Step 1 of an Iteration) Increasing one
nonbasic variable from zero (while adjusting the values of the basic variables to
continue satisfying the system of equations) corresponds to moving along one
edge ...
Page 129
Tie for the Leaving Basic Variable — Degeneracy Now suppose that two or more
basic variables tie for being the leaving basic variable ... First, all the tied basic
variables reach zero simultaneously as the entering basic variable is increased.
Tie for the Leaving Basic Variable — Degeneracy Now suppose that two or more
basic variables tie for being the leaving basic variable ... First, all the tied basic
variables reach zero simultaneously as the entering basic variable is increased.
Page 311
Feasibility test: Check to see whether all the basic variables are nonnegative. If
they are, then this solution is feasible, and therefore optimal, so stop. Otherwise,
go to an iteration. 3. Iteration: Step 1 Determine the leaving basic variable: Select
...
Feasibility test: Check to see whether all the basic variables are nonnegative. If
they are, then this solution is feasible, and therefore optimal, so stop. Otherwise,
go to an iteration. 3. Iteration: Step 1 Determine the leaving basic variable: Select
...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
An Algorithm for the Assignment Problem | 18 |
Copyright | |
44 other sections not shown
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Common terms and phrases
activity additional algorithm alternative amount analysis apply assigned assumed basic variable begin BF solution bound calculate called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution customers decision demand described determine developed distribution entering equations estimated example expected feasible FIGURE final flow formulation given gives hour identify illustrate increase indicates initial inventory iteration linear programming machine Maximize maximum mean million Minimize month needed node objective function obtained operations optimal optimal solution original parameter path payoff perform plant player possible presented Prob probability problem procedure profit programming problem queueing respectively resulting shown shows side simplex method solution solve step strategy Table tableau tion transportation unit weeks
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 |