A Convex Hull Cheapest Insertion Heuristic for the Non-Euclidean TSP

التفاصيل البيبلوغرافية
العنوان: A Convex Hull Cheapest Insertion Heuristic for the Non-Euclidean TSP
المؤلفون: Goutham, Mithun, Menon, Meghna, Garrow, Sarah, Stockar, Stephanie
سنة النشر: 2023
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Artificial Intelligence, Electrical Engineering and Systems Science - Systems and Control
الوصف: The convex hull cheapest insertion heuristic produces good solutions to the Euclidean Traveling Salesperson Problem, but it has never been extended to the non-Euclidean problem. This paper uses multidimensional scaling to first project the points from a non-Euclidean space into a Euclidean space, enabling the generation of a convex hull that initializes the algorithm. To evaluate the proposed algorithm, non-Euclidean spaces are created by adding separators to the TSPLIB data-set, or by using the L1 norm as a metric.
Comment: Revised manuscript submitted on 2 July 2024 to the Operations Research Letters
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.06582
رقم الأكسشن: edsarx.2302.06582
قاعدة البيانات: arXiv