Introduction to Operations Research, Volume 1CD-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 408
If flow through an arc is allowed in only one direction ( e.g. , a oneway street ) , the arc is said to be a directed arc . The direction is indicated by adding an arrowhead at the end of the line representing the arc .
If flow through an arc is allowed in only one direction ( e.g. , a oneway street ) , the arc is said to be a directed arc . The direction is indicated by adding an arrowhead at the end of the line representing the arc .
Page 409
A directed path from node i to node j is a sequence of connecting arcs whose direction ( if any ) is toward nodej , so that flow from node i to node ; along this path is feasible . An undirected path from node i to node j is a sequence ...
A directed path from node i to node j is a sequence of connecting arcs whose direction ( if any ) is toward nodej , so that flow from node i to node ; along this path is feasible . An undirected path from node i to node j is a sequence ...
Page 423
6 01 C E 4 0 capacity in the original direction remains the same and the arc capacity in the opposite direction is zero , so the constraints on flows are unchanged . Subsequently , whenever some amount of flow is assigned to an arc ...
6 01 C E 4 0 capacity in the original direction remains the same and the arc capacity in the opposite direction is zero , so the constraints on flows are unchanged . Subsequently , whenever some amount of flow is assigned to an arc ...
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Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |
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 direction 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 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 | the University of Michigan |
| Digitized | 8 Aug 2011 |
| ISBN | 0072321695, 9780072321692 |
| Length | 1214 pages |
| Export Citation | BiBTeX EndNote RefMan |