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 155
Because the constraint on resource 1 , x , s 4 , is not binding on the optimal
solution ( 2 , 6 ) , there is a surplus of this ... beyond 4 cannot yield a new optimal
solution with a larger value of Z. By contrast , the constraints on resources 2 and
3 ...
Because the constraint on resource 1 , x , s 4 , is not binding on the optimal
solution ( 2 , 6 ) , there is a surplus of this ... beyond 4 cannot yield a new optimal
solution with a larger value of Z. By contrast , the constraints on resources 2 and
3 ...
Page 181
( b ) Use graphical analysis to find the shadow prices for the resources . ( c )
Determine how many additional units of resource 1 would be needed to increase
the optimal value of Z by 15 . 4.7-5 . Consider the following problem . Maximize Z
= x1 ...
( b ) Use graphical analysis to find the shadow prices for the resources . ( c )
Determine how many additional units of resource 1 would be needed to increase
the optimal value of Z by 15 . 4.7-5 . Consider the following problem . Maximize Z
= x1 ...
Page 241
erates at a strictly positive level ( x ; > 0 ) , the marginal value of the resources it
consumes must equal ( as opposed to exceeding ) the unit profit from this activity
. The second statement implies that the marginal value of resource i is zero ( y ...
erates at a strictly positive level ( x ; > 0 ) , the marginal value of the resources it
consumes must equal ( as opposed to exceeding ) the unit profit from this activity
. The second statement implies that the marginal value of resource i is zero ( y ...
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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 |