# Statistical mechanics of combinatorial optimization problems with site disorder.

@article{Dean2005StatisticalMO, title={Statistical mechanics of combinatorial optimization problems with site disorder.}, author={D. Dean and D. J. Lancaster and Satya N. Majumdar}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2005}, volume={72 2 Pt 2}, pages={ 026125 } }

We study the statistical mechanics of a class of problems whose phase space is the set of permutations of an ensemble of quenched random positions. Specific examples analyzed are the finite-temperature traveling salesman problem on several different domains and various problems in one dimension such as the so-called descent problem. We first motivate our method by analyzing these problems using the annealed approximation. Then in the limit of a large number of points we develop a formalism to… Expand

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