This paper addresses sensitivity analysis questions concerning the shortest path problem and the maximum capacity path problem in an undirected network. For both problems, we determine the maximum and minimum weights that each edge can have so that a given path remains optimal. For both problems, we show how to determine these maximum and minimum values for all edges in O(m + K log K) time, where m is the number of edges in the network, and K is the number of edges on the given optimal path.
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/5065 |
| Date | 30 April 2004 |
| Creators | Ramaswamy, Ramkumar, Orlin, James B., Chakravarty, Nilopal |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Working Paper |
| Format | 504845 bytes, application/pdf |
| Relation | MIT Sloan School of Management Working Paper;4465-03 |
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