Network Flow Problems
Many linear programming problems can be viewed as a problem of minimizing the “transportation” cost of moving materials through a network to meet demands for material at various locations given sources of material at other locations. Such problems are called network flow problems. They form the most important special class of linear programming problems. Transportation, electric, and communication networks provide obvious examples of application areas. Less obvious, but just as important, are applications in facilities location, resource management, financial planning, and others.
KeywordsSpan Tree Tree Solution Linear Programming Problem Simplex Method Dual Variable
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- Ahuja, R., Magnanti, T. & Orlin, J. (1993), Network Flows: Theory, Algorithms, and Applications, Prentice Hall, Englewood Cliffs, NJ.Google Scholar
- Dantzig, G. (1951a), Application of the simplex method to a transportation problem, in T. Koopmans, ed., ‘Activity Analysis of Production and Allocation’, John Wiley and Sons, New York, pp. 359–373.Google Scholar