The statistical mechanics of travelling salesman type problems

被引：4

作者：

Dean, DS ^{[1
]}

Lancaster, D

Majumdar, SN

机构：

[1] Univ Cambridge, CMS, DAMTP, Cambridge, England

[2] Univ Toulouse 3, IRSAMC, CNRS, UMR 5152,Lab Phys Theor, F-31062 Toulouse 04, France

[3] Univ Westminster, Harrow Sch Comp Sci, Harrow HA1 3TP, Middx, England

[4] Univ Paris 11, Lab Phys Theor & Modeles Stat, UMR 8626, F-91045 Orsay, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2005年

关键词：

exact results;

D O I：

10.1088/1742-5468/2005/01/L01001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the finite temperature statistical mechanics of Hamiltonian paths between a set of N quenched randomly distributed points in a finite domain D. The energy of the path is a function of the distance between neighbouring points on the path; an example is the travelling salesman problem where the energy is the total distance between neighbouring points on the path. We show how the system can be analysed in the limit of large N without using the replica method.

引用

页码：259 / 266

页数：8

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