A proof of Parisi?s conjecture on the random assignment problem
نویسندگان
چکیده
منابع مشابه
A proof of Parisi’s conjecture on the random assignment problem
An assignment problem is the optimization problem of finding, in an m by n matrix of nonnegative real numbers, k entries, no two in the same row or column, such that their sum is minimal. Such an optimization problem is called a random assignment problem if the matrix entries are random variables. We give a formula for the expected value of the optimal k-assignment in a matrix where some of the...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2004
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-003-0308-9