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A SET COVERING APPLICATION IN MINIMUM ROUTE GENERATION

J.C. WANG (University of Pittsburgh, Pa., U.S.A. Now with General Electric Co., Washington, D.C.)
M.H. MICKLE (University of Pittsburgh, Pa., U.S.A. Currently on a leave of absence at the National Science Foundation, Washington, D.C.)
R.G. HOELZEMAN (University of Pittsburgh, Pa., U.S.A.)

Kybernetes

ISSN: 0368-492X

Publication date: 1 April 1974

Abstract

The use of improved storage procedures for route generation for demand actuated systems is necessary for practical implementation of many routing systems. Neighborhood Storage is a method of storing the system information which requires a covering to be generated for a number of sets of points which are generated by the method. The set covering problem is important to the overall practical implementation of the method. The method requires M coverings to be generated for each application. Thus, computational efficiency is of considerable importance in obtaining the required coverings. The problem is defined and formulated as a set covering problem. Solutions are carried out for a number of examples and the results for the optimum covering are reported. An algorithm is then presented for obtaining a suboptimum covering with considerable efficiency in computation and overall data manipulation. The example results are also included. The algorithm presented is applicable to any (V;A,B) modeled in R2.

Citation

WANG, J., MICKLE, M. and HOELZEMAN, R. (1974), "A SET COVERING APPLICATION IN MINIMUM ROUTE GENERATION", Kybernetes, Vol. 3 No. 4, pp. 207-215. https://doi.org/10.1108/eb005370

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Publisher

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MCB UP Ltd

Copyright © 1974, MCB UP Limited

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