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 119
Choose x , and x2 to be the nonbasic variables ( = 0 ) for the initial BF solution : (
0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x ,
or x2 ) increases Z . Optimality test Iteration 1 Step 1 Not optimal , because ...
Choose x , and x2 to be the nonbasic variables ( = 0 ) for the initial BF solution : (
0 , 0 , 4 , 12 , 18 ) . Not optimal , because increasing either nonbasic variable ( x ,
or x2 ) increases Z . Optimality test Iteration 1 Step 1 Not optimal , because ...
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 ...
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 ...
Page 288
Use this solution to identify the basic variables and the nonbasic variables for the
optimal solution of the primal problem . Directly derive this solution , using
Gaussian elimination . ( a ) How would you identify the optimal solution for the
dual ...
Use this solution to identify the basic variables and the nonbasic variables for the
optimal solution of the primal problem . Directly derive this solution , using
Gaussian elimination . ( a ) How would you identify the optimal solution for the
dual ...
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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 |