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 382
The objective is to determine how all n assignments should be made to minimize
the total cost . Any problem satisfying all these assumptions can be solved
extremely efficiently by algorithms designed specifically for assignment problems
.
The objective is to determine how all n assignments should be made to minimize
the total cost . Any problem satisfying all these assumptions can be solved
extremely efficiently by algorithms designed specifically for assignment problems
.
Page 399
Consider the assignment problem having the following cost table . Task 1 N 3 4
Assignee A B ... The objective is to make these assignments so as to minimize
the total cost of producing these amounts of the three products . ( a ) Formulate
this ...
Consider the assignment problem having the following cost table . Task 1 N 3 4
Assignee A B ... The objective is to make these assignments so as to minimize
the total cost of producing these amounts of the three products . ( a ) Formulate
this ...
Page 400
( c ) Reformulate this assignment problem as an equivalent transportation
problem with two sources and three ... ( c ) . choice of these assignments of plants
to distribution centers is to be made solely on the basis of minimizing total
shipping cost .
( c ) Reformulate this assignment problem as an equivalent transportation
problem with two sources and three ... ( c ) . choice of these assignments of plants
to distribution centers is to be made solely on the basis of minimizing total
shipping cost .
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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 |