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Author: Johan Wästlund
Title: The variance and higher moments in the random assignment problem
Language: English
Issue: 8
Abstract [en]: We obtain exact formulas for all moments of the cost Cn of the inimum assignment in the complete bipartite graph Kn,n with independent exp(1) edge costs. In particular we prove that as n tends to infinity, the variance of Cn is c/n+O(1/n2), where c = 4ζ(2)-4ζ(3), or approximately 1.7715.
PDF
Publisher: Linköping University Electronic Press
Year: 2005
Available: 2005-10-14
Pages: 21
Series: Linköping Studies in Mathematics
ISSN (print): 0348-2960
ISSN (online): 1652-4454
Checksum: 78339cc644878f2559adbf2feb457a17 /home/ep/www/ea/lsm/2005/008/lsm05008.pdf (MD5)
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REFERENCE TO THIS PAGE:
Wästlund, Johan (2005). The variance and higher moments in the random assignment problem. http://www.ep.liu.se/ea/lsm/2005/008/. (2010-02-10)