Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/5158
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dc.creatorWong, Richard T.-
dc.date2004-05-28T19:25:44Z-
dc.date2004-05-28T19:25:44Z-
dc.date1978-12-
dc.date.accessioned2013-10-09T02:38:02Z-
dc.date.available2013-10-09T02:38:02Z-
dc.date.issued2013-10-09-
dc.identifierhttp://hdl.handle.net/1721.1/5158-
dc.identifier.urihttp://koha.mediu.edu.my:8181/xmlui/handle/1721-
dc.descriptionThe Optimal Network problem (as defined by Scott [16]) consists of selecting a subset of arcs that minimizes the sum of the shortest paths between all nodes subject to a budget constraint. This paper considers the worst-case behavior of heuristics for this prob'em. Let n be the number of nodes in the network and e be a constant between 0 and 1. For a general class of Optimal Network Problems, we show that the question of finding a solution which is always less than n times the optimal solution is NP-complete. This indicates that all polynomial-time heuristics for the problem most probably have poor worst-case performance. An upper bound for worst-case heuristic performance of 2n times the optimal solution is also derived. For a restricted version of the Optimal Network problem we describe a procedure whose maximum percentage of error is bounded by a constant.-
dc.descriptionThis research was supported, in part, by the U. S. Department of Transportation under Contract DOT-TSC-1058, Transportation Advanced Research Program (TARP).-
dc.format1746 bytes-
dc.format1324684 bytes-
dc.formatapplication/pdf-
dc.languageen_US-
dc.publisherMassachusetts Institute of Technology, Operations Research Center-
dc.relationOperations Research Center Working Paper;OR 085-78-
dc.titleWorst-Case Analysis of Network Design Problem Heuristics-
dc.typeWorking Paper-
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