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 151
In the case where X ; does not have a lower - bound constraint in the model
formulated , another approach is required : x ; is replaced throughout the model
by the difference of two new nonnegative variables x ; = x ; " – x ; , where x = 0 , x ;
20 .
In the case where X ; does not have a lower - bound constraint in the model
formulated , another approach is required : x ; is replaced throughout the model
by the difference of two new nonnegative variables x ; = x ; " – x ; , where x = 0 , x ;
20 .
Page 300
Show the complete tableau needed to apply the feasibility test and the optimality
test for any value of 0 . Express the corresponding basic solution ( and 2 ) as a
function of 0 . ( b ) Determine the range of nonnegative values of 0 over which
this ...
Show the complete tableau needed to apply the feasibility test and the optimality
test for any value of 0 . Express the corresponding basic solution ( and 2 ) as a
function of 0 . ( b ) Determine the range of nonnegative values of 0 over which
this ...
Page 310
The method continues to decrease the value of the objective function , always
retaining nonnegative coefficients in Eq . ( 0 ) , until all the variables are
nonnegative . Such a basic solution is feasible ( it satisfies all the equations ) and
is ...
The method continues to decrease the value of the objective function , always
retaining nonnegative coefficients in Eq . ( 0 ) , until all the variables are
nonnegative . Such a basic solution is feasible ( it satisfies all the equations ) and
is ...
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Contents
SUPPLEMENT TO APPENDIX 3 | 3 |
Problems | 6 |
An Algorithm for the Assignment Problem | 18 |
Copyright | |
59 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 called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution decision variables demand described determine distribution dual problem entering equal equations estimates example feasible 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 nonnegative 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 transportation 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 |