Evolving Diverse Sets of Tours for the Travelling Salesperson Problem

04/20/2020
by   Anh Viet Do, et al.
21

Evolving diverse sets of high quality solutions has gained increasing interest in the evolutionary computation literature in recent years. With this paper, we contribute to this area of research by examining evolutionary diversity optimisation approaches for the classical Traveling Salesperson Problem (TSP). We study the impact of using different diversity measures for a given set of tours and the ability of evolutionary algorithms to obtain a diverse set of high quality solutions when adopting these measures. Our studies show that a large variety of diverse high quality tours can be achieved by using our approaches. Furthermore, we compare our approaches in terms of theoretical properties and the final set of tours obtained by the evolutionary diversity optimisation algorithm.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

04/28/2021

Entropy-Based Evolutionary Diversity Optimisation for the Traveling Salesperson Problem

Computing diverse sets of high-quality solutions has gained increasing a...
08/11/2021

Computing Diverse Sets of High Quality TSP Tours by EAX-Based Evolutionary Diversity Optimisation

Evolutionary algorithms based on edge assembly crossover (EAX) constitut...
10/22/2020

Computing Diverse Sets of Solutions for Monotone Submodular Optimisation Problems

Submodular functions allow to model many real-world optimisation problem...
10/21/2020

Evolutionary Diversity Optimization and the Minimum Spanning Tree Problem

In the area of evolutionary computation the calculation of diverse sets ...
02/15/2018

Discrepancy-based Evolutionary Diversity Optimization

Diversity plays a crucial role in evolutionary computation. While divers...
02/23/2021

Analysis of Evolutionary Diversity Optimisation for Permutation Problems

Generating diverse populations of high quality solutions has gained inte...
02/04/2022

Exploring the Feature Space of TSP Instances Using Quality Diversity

Generating instances of different properties is key to algorithm selecti...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.