Completing a k-1 assignment

Details Completing a k-1 assignment Completing a k-1 assignment

2004-10-15

arxiv.org/abs/math/0410347v1

Mathematics

Combinatorics

8 pages

Scientific paper

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

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