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Completing a (k-1)-assignment
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6339-2230
2007 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 16, no 4, 621-629 p.Article in journal (Refereed) Published
Abstract [en]

We consider the distribution of the value of the optimal k-assignment in an in x 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.

Place, publisher, year, edition, pages
2007. Vol. 16, no 4, 621-629 p.
Keyword [en]
random assignment problem, minimum assignment, exact expectations, expected value, conjecture, proof
Identifiers
URN: urn:nbn:se:kth:diva-16772DOI: 10.1017/s0963548306008157ISI: 000247845900006Scopus ID: 2-s2.0-34249980693OAI: oai:DiVA.org:kth-16772DiVA: diva2:334815
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Linusson, Svante

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