Sensitivity Analysis for Shortest Path Problems and Maximum Capacity Path Problems in Undirected Graphs
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Author(s)
Ramaswamy, Ramkumar
Orlin, James
Chakravarty, Nilopal
Date Issued
December 10, 2004
Series/Report no.
MIT Sloan School of Management Working Paper;4465-03
Abstract
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.
Subjects
sensitivity analysis
shortest path problem
bottleneck shortest path
maximum capacity path problem
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