Introduction to Operations Research, Volume 1-- This classic, field-defining text is the market leader in Operations Research -- and it's now updated and expanded to keep professionals a step ahead -- Features 25 new detailed, hands-on case studies added to the end of problem sections -- plus an expanded look at project planning and control with PERT/CPM -- A new, software-packed CD-ROM contains Excel files for examples in related chapters, numerous Excel templates, plus LINDO and LINGO files, along with MPL/CPLEX Software and MPL/CPLEX files, each showing worked-out examples |
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Page 155
Because the constraint on resource 1 , x1 = 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 , x1 = 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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Common terms and phrases
activity additional algorithm 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 region 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 shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit weeks Wyndor Glass zero
Bibliographic information
| Title | Introduction to Operations Research, Volume 1 Introduction to Operations Research, Frederick S. Hillier 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 | the University of Michigan |
| Digitized | 8 Aug 2011 |
| ISBN | 0072416181, 9780072416183 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |