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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…

Machine Learning · Computer Science 2021-04-20 James Fitzpatrick , Deepak Ajwani , Paula Carroll

We introduce a fast, quasi-linear-time heuristic for the Close-Enough Traveling Salesman Problem (CETSP), a continuous generalization of the Euclidean TSP in which each target is a disk that must be intersected. The method adapts the…

Computational Geometry · Computer Science 2026-04-07 Khoi Duong

The Moving-Target Traveling Salesman Problem (MT-TSP) seeks a shortest path for an agent that starts at a stationary depot, visits a set of moving targets exactly once, each within one of their respective time windows, and returns to the…

Robotics · Computer Science 2025-03-04 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

Optimization and Control · Mathematics 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

The recently presented idea to learn heuristics for combinatorial optimization problems is promising as it can save costly development. However, to push this idea towards practical implementation, we need better models and better ways of…

Machine Learning · Statistics 2019-02-08 Wouter Kool , Herke van Hoof , Max Welling

TSP (Traveling Salesman Problem), a classic NP-complete problem in combinatorial optimization, is of great significance in multiple fields. Exact algorithms for TSP are not practical due to their exponential time cost. Thus, approximate…

Data Structures and Algorithms · Computer Science 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

In (Zhu et al., 2022), it proposes an electric vehicle traveling salesman problem with drone while assuming that the electric vehicle (EV) is a battery-electric vehicle whose energy could be refreshed in a battery swap station in minutes.…

Optimization and Control · Mathematics 2022-05-30 Tengkuo Zhu , Stephen D. Boyles , Avinash Unnikrishnan

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

This paper presents a novel and efficient heuristic framework for approximating the solutions to the multiple traveling salesmen problem (m-TSP) and other variants on the TSP. The approach adopted in this paper is an extension of the…

Optimization and Control · Mathematics 2016-04-15 Mayank Baranwal , Brian Roehl , Srinivasa M. Salapaka

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…

Computational Complexity · Computer Science 2021-02-26 Omar Cheikhrouhou , Ines Khoufi

This paper proposes a hybrid genetic algorithm for solving the Multiple Traveling Salesman Problem (mTSP) to minimize the length of the longest tour. The genetic algorithm utilizes a TSP sequence as the representation of each individual,…

Neural and Evolutionary Computing · Computer Science 2023-10-31 Sasan Mahmoudinazlou , Changhyun Kwon

Reinforcement learning has recently shown promise in learning quality solutions in many combinatorial optimization problems. In particular, the attention-based encoder-decoder models show high effectiveness on various routing problems,…

Optimization and Control · Mathematics 2022-12-06 Aigerim Bogyrbayeva , Taehyun Yoon , Hanbum Ko , Sungbin Lim , Hyokun Yun , Changhyun Kwon

This paper addresses an Electric Vehicle Relocation Problem (E-VReP), in one-way carsharing systems, based on operators who move through folding bicycles between a delivery request and one of pickup. In order to deal with its economical…

Optimization and Control · Mathematics 2015-04-10 Maurizio Bruglieri , Ferdinando Pezzella , Ornella Pisacane

Due to the complication of the presented problem, intelligent algorithms show great power to solve the parts logistics optimization problem related to the vehicle routing problem (VRP). However, most of the existing research to VRP are…

Artificial Intelligence · Computer Science 2019-03-19 Yaoting Huang , Boyu Chen , Wenlian Lu , Zhong-Xiao Jin , Ren Zheng

The Double Travelling Salesman Problem with Multiple Stacks, DTSPMS, deals with the collect and delivery of n commodities in two distinct cities, where the pickup and the delivery tours are related by LIFO constraints. During the pickup…

Discrete Mathematics · Computer Science 2020-10-02 Laurent Alfandari , Sophie Toulouse

The rapid growth of e-commerce and the increasing demand for timely, cost-effective last-mile delivery have increased interest in collaborative logistics. This research introduces a novel collaborative synchronized multi-platform vehicle…

Multiagent Systems · Computer Science 2025-05-30 Sumbal Malik , Majid Khonji , Khaled Elbassioni , Jorge Dias

We study last-mile delivery problems where trucks and drones collaborate to deliver goods to final customers. In particular, we focus on problem settings where either a single truck or a fleet with several homogeneous trucks work in…

Optimization and Control · Mathematics 2023-07-10 Roberto Montemanni , Mauro Dell'Amico , Andrea Corsini

Mobile robotic platforms are an indispensable tool for various scientific and industrial applications. Robots are used to undertake missions whose execution is constrained by various factors, such as the allocated time or their remaining…

Robotics · Computer Science 2018-01-12 Nikolaos Tsiogkas , David M. Lane

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Existing neural methods for the Travelling Salesman Problem (TSP) mostly aim at finding a single optimal solution. To discover diverse yet high-quality solutions for Multi-Solution TSP (MSTSP), we propose a novel deep reinforcement learning…

Machine Learning · Computer Science 2025-01-03 Qi Li , Zhiguang Cao , Yining Ma , Yaoxin Wu , Yue-Jiao Gong