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The M-center problem.

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Author
Lins, Roderick William
Date
1971-12
Advisor
McMasters, Alan W.
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Abstract
Solution algorithms are presented for the vertex m-center and the absolute m-center problem. Both algorithms use partitioning techniques The algorithms use special properties of the max-min node to test for optimality. The vertex m-center algorithm establishes an order among all partitions of a graph according to the smallest vertex m-radius each partition can have. It then directs one to calculate the vertex m-radii only for those partitions which can provide a minimal vertex m-radius. The absolute m-center algorithm establishes an initial solution which may not be optimal. Other partitions are then tested against this solution to determine whether or not they provide a better solution. A point is reached at which no untested partition can improve the extant solution and the algorithm terminates.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
URI
http://hdl.handle.net/10945/15801
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