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ON THE FLUCTUATION IN THE RANDOM ASSIGNMENT PROBLEM
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 Title & Authors
ON THE FLUCTUATION IN THE RANDOM ASSIGNMENT PROBLEM
Lee, Sung-Chul; Su, Zhong-Gen;
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 Abstract
Consider the random assignment (or bipartite matching) problem with iid uniform edge costs t(i, j). Let be the optimal assignment cost. Just recently does Aldous [2] give a rigorous proof that E longrightarrowζ(2). In this paper we establish the upper and lower bounds for Var , i.e., there exist two strictly positive but finite constants and such athat 2)/ (log n)2)/ Var (log n).EX>.
 Keywords
assignment problem;bipartite matching matching;conditional variance;probabilistic analysis of algorithms;
 Language
English
 Cited by
1.
ON THE RANDOM n×n ASSIGNMENT PROBLEM,;;

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