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Completing a (k − 1)-Assignment

Published online by Cambridge University Press:  01 July 2007

SVANTE LINUSSON  and
JOHAN WÄSTLUND
SVANTE LINUSSON
Affiliation:
Department of Mathematics, KTH, SE-100 44 Stockholm, Sweden (e-mail: linusson@math.kth.se)
JOHAN WÄSTLUND
Affiliation:
Department of Mathematics, Linköping University, 581 83 Linköping, Sweden (e-mail: jowas@mai.liu.se)
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Abstract

We consider the distribution of the value of the optimal k-assignment in an m × n matrix, where the entries are independent exponential random variables with arbitrary rates. We give closed formulas for both the Laplace transform of this random variable and for its expected value under the condition that there is a zero-cost (k − 1)-assignment.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 16 , Issue 4 , July 2007 , pp. 621 - 629
Copyright
Copyright © Cambridge University Press 2007

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