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 409
of or all the arcs in the network are directed arcs , we then distinguish between directed paths and undirected paths . A directed path from node i to node j is a sequence of connecting arcs whose direction ( if any ) is toward node j ...
of or all the arcs in the network are directed arcs , we then distinguish between directed paths and undirected paths . A directed path from node i to node j is a sequence of connecting arcs whose direction ( if any ) is toward node j ...
Page 423
An augmenting path is a directed path from the source to the sink in the residual network such that every arc on this path has strictly positive residual capacity . The minimum of these residual capacities is called the residual ...
An augmenting path is a directed path from the source to the sink in the residual network such that every arc on this path has strictly positive residual capacity . The minimum of these residual capacities is called the residual ...
Page 476
TABLE 10.2 The paths and path lengths through Reliable's project network Path Length = = START → AB →→→ GHM FINISH START →→→→→→→ FINISH START →→→→ EA >>> N FINISH START A ~ B ~ ( E F ~~ - N ~ FINISH START A - B - C KN ...
TABLE 10.2 The paths and path lengths through Reliable's project network Path Length = = START → AB →→→ GHM FINISH START →→→→→→→ FINISH START →→→→ EA >>> N FINISH START A ~ B ~ ( E F ~~ - N ~ FINISH START A - B - C KN ...
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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 |