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28 March 2024
 
  » arxiv » cond-mat/9907088

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Random Costs in Combinatorial Optimization
Stephan Mertens ;
Date 6 Jul 1999
Subject Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech
AffiliationOtto-von-Guericke Universitat, Magdeburg
AbstractThe random cost problem is the problem of finding the minimum in an exponentially long list of random numbers. By definition, this problem cannot be solved faster than by exhaustive search. It is shown that a classical NP-hard optimization problem, number partitioning, is essentially equivalent to the random cost problem. This explains the bad performance of heuristic approaches to the number partitioning problem and allows us to calculate the probability distributions of the optimum and sub-optimum costs.
Source arXiv, cond-mat/9907088
Other source [GID 707589] pmid11017515
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