A Computation Investigation of the Impact of Convex Hull subtour on the Nearest Neighbour Heuristic

Asani, E. Oluwatobi and Okeyinka, A.E. and Adebiyi, A. A. (2023) A Computation Investigation of the Impact of Convex Hull subtour on the Nearest Neighbour Heuristic. International Conference on Science, Engineering and Business for Sustainable Development Goals (SEB-SDG), Landmark University. pp. 1-7.

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Abstract

This study investigated the computational effect of a Convex Hull subtour on the Nearest Neighbour Heuristic. Convex hull subtour has been shown to theoretically degrade the worst-case performances of some insertion heuristics from twice optimal to thrice optimal, although other empirical studies have shown that the introduction of the convex hull as a subtour is expected to minimize the occurrences of outliers, thereby potentially improving the solution quality. This study was therefore conceived to investigate the empirical effect of a convex-hull-based initial tour on the Nearest Neighbour Heuristic vis-a-vis the traditional use of a single node as the initial tour. The resulting hybrid Convex Hull-Nearest Neighbour Heuristic (CH-NN) was used to solve the Travelling Salesman Problem. The technique was experimented using publicly available testbeds from TSPLIB. The performance of CH-NN vis-à-vis that of the traditional Nearest Neighbour solution showed empirically that Convex Hull can potentially improve the solution quality of tour construction techniques.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User: EMMANUEL ASANI
Date Deposited: 15 Jan 2024 07:55
Last Modified: 15 Jan 2024 07:55
URI: https://eprints.lmu.edu.ng/id/eprint/4528

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