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The traveling salesman (or salesperson) problem, short TSP, is a problem of strong interest to many researchers from mathematics, economics, and computer science. Manifold TSP variants occur in nearly every scientific field and application…

数据结构与算法 · 计算机科学 2025-11-10 Sophia Saller , Jana Koehler , Andreas Karrenbauer

The maximum traveling salesman problem (Max TSP) consists of finding a Hamiltonian cycle with the maximum total weight of the edges in a given complete weighted graph. This problem is APX-hard in the general metric case but admits…

数据结构与算法 · 计算机科学 2021-08-24 Vladimir Shenmaier

The Traveling Salesman Problem (TSP) is one of the classic and hard problems in combinatorial optimization. We develop a new heuristic that uses a connection between Minimum Cost Flow Problems and the TSP to improve on a given suboptimal…

最优化与控制 · 数学 2026-03-30 Steffen Borgwardt , Zachary Sorenson

The multiple Traveling Salesmen Problem (mTSP) is a general extension of the famous NP-hard Traveling Salesmen Problem (TSP), that there are m (m > 1) salesmen to visit the cities. In this paper, we address the mTSP with both the minsum…

人工智能 · 计算机科学 2022-03-01 Jiongzhi Zheng , Yawei Hong , Wenchang Xu , Wentao Li , Yongfu Chen

In order to deal with the high development time of exact and approximation algorithms for NP-hard combinatorial optimisation problems and the high running time of exact solvers, deep learning techniques have been used in recent years as an…

机器学习 · 计算机科学 2021-04-20 James Fitzpatrick , Deepak Ajwani , Paula Carroll

The PDPTW is an optimization vehicles routing problem which must meet requests for transport between suppliers and customers satisfying precedence, capacity and time constraints. We present, in this paper, a genetic algorithm for…

数据结构与算法 · 计算机科学 2013-02-03 Imen Harbaoui Dridi , Ryan Kammarti , Pierre Borne , Mekki Ksouri

This paper proposes an algorithmic method to heuristically solve the famous Travelling Salesman Problem (TSP) when the salesman's path evolves in continuous state space and discrete time but with otherwise arbitrary (nonlinear) dynamics.…

最优化与控制 · 数学 2021-03-02 Alexander Weber , Alexander Knoll

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

最优化与控制 · 数学 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

The Travelling Salesman Problem (TSP) is one of the most popular Combinatorial Optimization Problem. It is well solicited for the large variety of applications that it can solve, but also for its difficulty to find optimal solutions. One of…

神经与进化计算 · 计算机科学 2020-06-30 Mehdi El Krari , Belaïd Ahiod

This study proposes an end-to-end framework for solving multi-objective optimization problems (MOPs) using Deep Reinforcement Learning (DRL), that we call DRL-MOA. The idea of decomposition is adopted to decompose the MOP into a set of…

神经与进化计算 · 计算机科学 2020-04-28 Kaiwen Li , Tao Zhang , Rui Wang

Pickup points are widely recognized as a sustainable alternative to home delivery, as consolidating orders at pickup locations can shorten delivery routes and improve first-attempt success rates. However, these benefits may be negated when…

机器学习 · 计算机科学 2026-01-21 Albina Galiullina , Wouter van Heeswijk , Tom van Woensel

The ubiquitous growth of mobility-on-demand services for passenger and goods delivery has brought various challenges and opportunities within the realm of transportation systems. As a result, intelligent transportation systems are being…

人工智能 · 计算机科学 2021-11-15 Kaushik Manchella , Marina Haliem , Vaneet Aggarwal , Bharat Bhargava

With growing interest in sustainable logistics, electric vehicle (EV)-based deliveries offer a promising alternative for urban distribution. However, EVs face challenges due to their limited battery capacity, requiring careful planning for…

人工智能 · 计算机科学 2025-08-05 Arindam Khanda , Anurag Satpathy , Amit Jha , Sajal K. Das

The energy transition in transportation benefits from demand-based models to determine the optimal placement of refueling stations for alternative fuel vehicles such as battery electric trucks. A formulation known as the refueling station…

最优化与控制 · 数学 2023-10-10 Nicholas Nordlund , Leandros Tassiulas , Jan-Hendrik Lange

Recently, there is an emerging trend to apply deep reinforcement learning to solve the vehicle routing problem (VRP), where a learnt policy governs the selection of next node for visiting. However, existing methods could not handle well the…

机器学习 · 计算机科学 2021-10-07 Jingwen Li , Liang Xin , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

The growth in online goods delivery is causing a dramatic surge in urban vehicle traffic from last-mile deliveries. On the other hand, ride-sharing has been on the rise with the success of ride-sharing platforms and increased research on…

人工智能 · 计算机科学 2020-09-22 Kaushik Manchella , Abhishek K. Umrawal , Vaneet Aggarwal

Traditional Learning-To-Rank (LETOR) approaches, including pairwise methods like RankNet and LambdaMART, often fall short by solely focusing on pairwise comparisons, leading to sub-optimal global rankings. Conversely, deep learning based…

人工智能 · 计算机科学 2025-03-25 Weixian Waylon Li , Yftah Ziser , Yifei Xie , Shay B. Cohen , Tiejun Ma

We study huge-scale assortment optimization problems to maximize expected revenue under customer choice, addressing a fundamental challenge in industries such as transportation, retail, and healthcare. The choice-based linear programming…

最优化与控制 · 数学 2026-02-27 Donghao Zhu , Hanzhang Qin , Ching-pei Lee , Yuki Saito , Takahiro Kawashima , Kenji Fukumizu

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

最优化与控制 · 数学 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

The Multiple Travelling Salesman Problem (MTSP) is among the most interesting combinatorial optimization problems because it is widely adopted in real-life applications, including robotics, transportation, networking, etc. Although the…

计算复杂性 · 计算机科学 2021-02-26 Omar Cheikhrouhou , Ines Khoufi