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The Traveling Tournament Problem is a sports-scheduling problem where the goal is to minimize the total travel distance of teams playing a double round-robin tournament. The constraint 'k' is an imposed upper bound on the number of…

Computational Complexity · Computer Science 2021-10-07 Diptendu Chatterjee

Travel time estimation is a critical task, useful to many urban applications at the individual citizen and the stakeholder level. This paper presents a novel hybrid algorithm for travel time estimation that leverages historical and sparse…

Machine Learning · Computer Science 2023-01-16 Nikolaos Zygouras , Nikolaos Panagiotou , Yang Li , Dimitrios Gunopulos , Leonidas Guibas

Hybrid quantum-classical algorithms can help mitigating the physical limitations of current quantum devices, particularly the low qubit count and the reduced topological connectivity. In this paper, we propose a hybrid technique to solve a…

Quantum Physics · Physics 2026-05-12 Siwei Hu , Victor Lopata , Salvatore Sinno , Shruthi Thuravakkath , Paolo Zuliani

The 2-Opt heuristic is one of the simplest algorithms for finding good solutions to the metric Traveling Salesman Problem. It is the key ingredient to the well-known Lin-Kernighan algorithm and often used in practice. So far, only upper and…

Discrete Mathematics · Computer Science 2020-03-16 Stefan Hougardy , Fabian Zaiser , Xianghui Zhong

Applications such as megaregional planning require efficient methods for solving traffic assignment problems (TAPs) on large-scale networks. We propose a decomposition heuristic that generates approximate TAP solutions by partitioning the…

Optimization and Control · Mathematics 2022-06-28 Venktesh Pandey , Priyadarshan N. Patil

In the Traveling Salesman Problem (TSP), a list of cities and the distances between them are given. The goal is to find the shortest possible route that visits each city exactly once and returns to the original city. The TSP has a wide…

Optimization and Control · Mathematics 2019-06-17 Johnny Seay , Edwin Gonzalez , Stephen Lowe , Jesse Crawford , Bryant Wyatt

This paper reviews the current progress in applying machine learning (ML) tools to solve NP-hard combinatorial optimization problems, with a focus on routing problems such as the traveling salesman problem (TSP) and the vehicle routing…

Artificial Intelligence · Computer Science 2025-10-09 Fangting Zhou , Attila Lischka , Balazs Kulcsar , Jiaming Wu , Morteza Haghir Chehreghani , Gilbert Laporte

The Single-Source Shortest Path (SSSP) problem is well-known for the challenges in developing fast, practical, and work-efficient parallel algorithms. This work introduces a novel shortest path search method. It allows paths with different…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Huashan Yu , Xiaolin Wang , Yingwei Luo

We study stochastic multi-armed bandits with many players. The players do not know the number of players, cannot communicate with each other and if multiple players select a common arm they collide and none of them receive any reward. We…

Machine Learning · Computer Science 2018-09-18 Manjesh K. Hanawal , Sumit J. Darak

Prize-Collecting TSP is a variant of the traveling salesperson problem where one may drop vertices from the tour at the cost of vertex-dependent penalties. The quality of a solution is then measured by adding the length of the tour and the…

Data Structures and Algorithms · Computer Science 2025-01-14 Jannis Blauth , Nathan Klein , Martin Nägele

Recent studies in maritime logistics have introduced a general ship routing problem and a benchmark suite based on real shipping segments, considering pickups and deliveries, cargo selection, ship-dependent starting locations, travel times…

Data Structures and Algorithms · Computer Science 2019-12-18 Gabriel Homsi , Rafael Martinelli , Thibaut Vidal , Kjetil Fagerholt

Most of the current inference techniques rely upon Bayesian inference on Probabilistic Graphical Models of observations and do predictions and classification on observations. However, there is very little literature on the mining of…

Machine Learning · Computer Science 2022-05-24 Sue Sin Chong

The Traveling salesman problem (TSP) is proved to be NP-complete in most cases. The genetic algorithm (GA) is one of the most useful algorithms for solving this problem. In this paper a conventional GA is compared with an improved hybrid GA…

Neural and Evolutionary Computing · Computer Science 2014-09-11 Keivan Borna , Vahid Haji Hashemi

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

This paper studies the Multi-period Travelling Politician Problem whose objective is to maximise the net benefit accrued by a party leader during a fixed campaign period. The problem is also characterised by flexible depots since the daily…

Optimization and Control · Mathematics 2021-01-01 Masoud Shahmanzari , Deniz Aksen , Saïd Salhi

Train marshalling is the process of reordering the railcars of a train in such a way that the railcars with the same destination appear consecutively in the final, reassembled train. The process takes place in the shunting yard by means of…

Data Structures and Algorithms · Computer Science 2020-08-10 Hossein Falsafain , Mohammad Tamannaei

This paper proposes a dual divide-and-optimize algorithm (DualOpt) for solving the large-scale traveling salesman problem (TSP). DualOpt combines two complementary strategies to improve both solution quality and computational efficiency.…

Artificial Intelligence · Computer Science 2025-01-16 Shipei Zhou , Yuandong Ding , Chi Zhang , Zhiguang Cao , Yan Jin

In this paper, we study the prize-collecting rural postman problem (PCRPP), a variant of the rural postman problem. Given a PCRPP instance consisting of an undirected graph whose edges have nonnegative lengths and nonnegative profits,…

Data Structures and Algorithms · Computer Science 2026-05-26 Hong Li , Jianping Li , Wei Li , Runtao Xie , Xiaoxiao Yang

The aim of the paper is to compare different approximation algorithms for the travelling salesperson problem. We pick the most popular and widespread methods known in the literature and contrast them with a novel approach (the polygonal…

Combinatorics · Mathematics 2021-09-03 Mateusz Krukowski , Filip Turoboś

Understanding the behaviour of heuristic search methods is a challenge. This even holds for simple local search methods such as 2-OPT for the Traveling Salesperson problem. In this paper, we present a general framework that is able to…

Neural and Evolutionary Computing · Computer Science 2020-06-01 Wanru Gao , Samadhi Nallaperuma , Frank Neumann
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