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The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem that aims to find the shortest possible route that visits each city exactly once and returns to the starting point. This paper explores the application…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Kael Silva Araújo , Francisco Márcio Barboza

The Traveling Salesman Problem is a fundamental combinatorial optimization problem widely studied in operations research. Despite its simple formulation, it remains computationally challenging due to the exponential growth of the search…

Quantum Physics · Physics 2026-05-28 Alessia Ciacco , Luigi Di Puglia Pugliese , Francesca Guerriero

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.…

Optimization and Control · Mathematics 2021-03-02 Alexander Weber , Alexander Knoll

The traveling-salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We study the traveling salesman problem when the positions of the…

Disordered Systems and Neural Networks · Physics 2019-10-18 Sergio Caracciolo , Andrea Di Gioacchino , Enrico M. Malatesta , Carlo Vanoni

The Orienteering Problem with Time Window and Delay (\OPTiWinD) is a variant of the online orienteering problem. A series of requests appear in various locations while a vehicle moves within the territory to serve them. Each request has a…

Discrete Mathematics · Computer Science 2022-01-04 Marc Demange , David Ellison , Bertrand Jouve

We study the vehicle routing problem with time windows (VRPTW) and stochastic travel times, in which the decision-maker observes related contextual information, represented as feature variables, before making routing decisions. Despite the…

Machine Learning · Computer Science 2024-02-13 Breno Serrano , Alexandre M. Florio , Stefan Minner , Maximilian Schiffer , Thibaut Vidal

Traveling Salesman Problem (TSP) is one of the most common studied problems in combinatorial optimization. Given the list of cities and distances between them, the problem is to find the shortest tour possible which visits all the cities in…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-27 Harun Rasit Er , Nadia Erdogan

The offline pickup and delivery problem with time windows (PDPTW) is a classical combinatorial optimization problem in the transportation community, which has proven to be very challenging computationally. Due to the complexity of the…

Artificial Intelligence · Computer Science 2023-03-08 Youngseo Kim , Danushka Edirimanna , Michael Wilbur , Philip Pugliese , Aron Laszka , Abhishek Dubey , Samitha Samaranayake

We study GCS-TSP, a new variant of the Traveling Salesman Problem (TSP) defined over a Graph of Convex Sets (GCS) -- a powerful representation for trajectory planning that decomposes the configuration space into convex regions connected by…

Artificial Intelligence · Computer Science 2025-11-14 Jingtao Tang , Hang Ma

This paper addresses the problem of energy-efficient and safe routing of last-mile electric freight vehicles. With the rising environmental footprint of the transportation sector and the growing popularity of E-Commerce, freight companies…

Optimization and Control · Mathematics 2024-09-24 Prateek Agarwal , Debojjal Bagchi , Tarun Rambha , Venktesh Pandey

The traveling salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We characterize the optimal cycle for every convex and increasing…

Disordered Systems and Neural Networks · Physics 2018-05-23 Sergio Caracciolo , Andrea Di Gioacchino , Marco Gherardi , Enrico M. Malatesta

We introduce the $L_p$ Traveling Salesman Problem ($L_p$-TSP), given by an origin, a set of destinations, and underlying distances. The objective is to schedule a destination visit sequence for a traveler of unit speed to minimize the…

Data Structures and Algorithms · Computer Science 2021-07-23 Majid Farhadi , Alejandro Toriello , Prasad Tetali

Motivated by the tactical planning level of demand adaptive public transportation systems, we present the stochastic symmetric traveling salesman problem with generalized latency (STSP-GL), a stochastic extension to the symmetric traveling…

Optimization and Control · Mathematics 2023-11-17 Benedikt Lienkamp , Mike Hewitt , Maximilian Schiffer

This paper addresses the Traveling Salesman Problem with Drone (TSP-D), in which a truck and drone are used to deliver parcels to customers. The objective of this problem is to either minimize the total operational cost (min-cost TSP-D) or…

Artificial Intelligence · Computer Science 2019-11-20 Quang Minh Ha , Yves Deville , Quang Dung Pham , Minh Hoàng Hà

Routing problems are optimization problems that consider a set of goals in a graph to be visited by a vehicle (or a fleet of them) in an optimal way, while numerous constraints have to be satisfied. We present a solution based on…

Robotics · Computer Science 2017-08-01 Miroslav Kulich , Roman Sushkov , Libor Přeučil

The $k-$traveling salesman problem ($k$-TSP) seeks a tour of minimal length that visits a subset of $k\leq n$ points. The traveling repairman problem (TRP) seeks a complete tour with minimal latency. This paper provides constant-factor…

Discrete Mathematics · Computer Science 2022-11-22 Moïse Blanchard , Alexandre Jacquillat , Patrick Jaillet

In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

Robotics · Computer Science 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli

We introduce a new bounding approach called Continuity* C*, which provides optimality guarantees for the Moving-Target Traveling Salesman Problem (MT-TSP). Our approach relaxes the continuity constraints on the agent's tour by partitioning…

Robotics · Computer Science 2024-12-04 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

We consider the online traveling salesman problem on the real line (OLTSPL) in which a salesman begins at the origin, traveling at no faster than unit speed along the real line, and wants to serve a sequence of requests, arriving online…

Data Structures and Algorithms · Computer Science 2025-07-10 Pei-Chuan Chen , Erik D. Demaine , Chung-Shou Liao , Hao-Ting Wei

Travelling salesman problem is a problem which is of high interest for researchers, industry professionals, and academicians. Visitor or salesman used to face lot of problems with respect to scheduling based on meeting top ranked clients.…

Other Computer Science · Computer Science 2012-05-09 Srinivas Nidhra , Likith Poovanna , Vinay Sudha Ethiraj