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 ...
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 129
Tie for the Leaving Basic Variable Degeneracy Now suppose that two or more
basic variables tie for being the leaving basic variable in step 2 of an iteration .
Does it matter which one is chosen ? Theoretically it does , and in a very critical
way ...
Tie for the Leaving Basic Variable Degeneracy Now suppose that two or more
basic variables tie for being the leaving basic variable in step 2 of an iteration .
Does it matter which one is chosen ? Theoretically it does , and in a very critical
way ...
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 ...
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 ...
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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 |