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用嵌套插队算法解决旅行推销员问题

翟东海 靳蕃

重庆邮电学院学报(自然科学版)2003,Vol.15Issue(3):51-56,6.
重庆邮电学院学报(自然科学版)2003,Vol.15Issue(3):51-56,6.

用嵌套插队算法解决旅行推销员问题

Nested Queue-Jumping Algorithm for Solving TSP

翟东海 1靳蕃1

作者信息

  • 1. 西南交通大学,计算机与通信工程学院,成都,610031
  • 折叠

摘要

Abstract

This paper presents a new approximate algorithm Nested Queue-Jumping Algorithm (NQJA) to solve traveling salesman problem. The proposed algorithm incorporates the thoughts of heuristic algorithm, randomized algorithm and local optimization. Numerical results show that to the small-scale instances, using Queue-Jumping Algorithm (QJA) directly the known optimal solution with a large probability can be obtained. In the case of large-scale instances, NQJA generates high-quality solution compared to well know heuristic methods. Moreover, the shortest tour to China144 TSP found by NQJA is shorter than known optimal tour. It can be a very promising alternative for finding a solution to the TSP. NQJA is specially devised for TSP. But its thought can give elicitation for other NP-hard combinatorial optimization problems.

关键词

TSP问题/插队算法/嵌套插队算法/随机化算法

Key words

traveling salesman problem/queue-jumping algorithm/nested queue-jumping algorithm/randomized algorithm

分类

信息技术与安全科学

引用本文复制引用

翟东海,靳蕃..用嵌套插队算法解决旅行推销员问题[J].重庆邮电学院学报(自然科学版),2003,15(3):51-56,6.

重庆邮电学院学报(自然科学版)

OACSTPCD

1673-825X

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