The Solution of some 100-city Travelling Salesman Problems

IF 2.6 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI:10.1016/j.ejco.2021.100017

A. Land

引用次数: 1

Abstract

A simplex-based FORTRAN code, working entirely in integer arithmetic, has been developed for the exact solution of travelling-salesman problems. The code adds tour-barring constraints as they are found to be violated. It deals with fractional solutions by adding two-matching constraints and as a last resort by ‘Gomory’ cutting plane constraints of the Method of Integer Forms. Most of the calculations are carried out on only a subset of the variables, with only occasional passes through the whole set of possible variables. Computational experience on some 100-city problems is reported.

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近百个城市旅行商问题的求解

一个基于simplex的FORTRAN代码，完全在整数运算中工作，已经开发了旅行推销员问题的精确解。当发现违规时，该规范增加了旅游限制。它通过添加两个匹配约束来处理分数解，最后通过“Gomory”切割整数形式方法的平面约束来处理分数解。大多数计算只在变量的一个子集上进行，只是偶尔通过整个可能的变量集。报道了100个城市问题的计算经验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

EURO Journal on Computational Optimization OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

60 days

期刊介绍： The aim of this journal is to contribute to the many areas in which Operations Research and Computer Science are tightly connected with each other. More precisely, the common element in all contributions to this journal is the use of computers for the solution of optimization problems. Both methodological contributions and innovative applications are considered, but validation through convincing computational experiments is desirable. The journal publishes three types of articles (i) research articles, (ii) tutorials, and (iii) surveys. A research article presents original methodological contributions. A tutorial provides an introduction to an advanced topic designed to ease the use of the relevant methodology. A survey provides a wide overview of a given subject by summarizing and organizing research results.