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The traveling salesman problem (TSP) is one of the most challenging NP-hard problems. It has widely applications in various disciplines such as physics, biology, computer science and so forth. The best known approximation algorithm for…

Data Structures and Algorithms · Computer Science 2016-12-13 Wenhong Tian , Chaojie Huang , Xinyang Wang , Qin Xiong

The cost due to delay in services may be intrinsically different for various applications of vehicle routing such as medical emergencies, logistical operations, and ride-sharing. We study a fundamental generalization of the Traveling…

Data Structures and Algorithms · Computer Science 2022-08-10 Majid Farhadi , Jai Moondra , Prasad Tetali , Alejandro Toriello

We initiate the study of online routing problems with predictions, inspired by recent exciting results in the area of learning-augmented algorithms. A learning-augmented online algorithm which incorporates predictions in a black-box manner…

Data Structures and Algorithms · Computer Science 2022-07-01 Hsiao-Yu Hu , Hao-Ting Wei , Meng-Hsi Li , Kai-Min Chung , Chung-Shou Liao

The Traveling Salesman Problem (TSP) is one of the most representative NP-hard problems in route planning and a long-standing benchmark in combinatorial optimization. Traditional heuristic tour constructors, such as Farthest or Nearest…

Artificial Intelligence · Computer Science 2026-02-03 Wei Huang , Hanchen Wang , Dong Wen , Wenjie Zhang

We consider the time-dependent traveling salesman problem (TDTSP), a generalization of the asymmetric traveling salesman problem (ATSP) to incorporate time-dependent cost functions. In our model, the costs of an arc can change arbitrarily…

Optimization and Control · Mathematics 2018-05-04 Christoph Hansknecht , Imke Joormann , Sebastian Stiller

We propose Test-Time Augmentation (TTA) as an effective technique for addressing combinatorial optimization problems, including the Traveling Salesperson Problem. In general, deep learning models possessing the property of invariance, where…

Machine Learning · Computer Science 2024-05-09 Ryo Ishiyama , Takahiro Shirakawa , Seiichi Uchida , Shinnosuke Matsuo

While traditional optimization problems were often studied in isolation, many real-world problems today require interdependence among multiple optimization components. The traveling thief problem (TTP) is a multi-component problem that has…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Helen Yuliana Angmalisang , Frank Neumann

The field of neural combinatorial optimization (NCO) trains neural policies to solve NP-hard problems such as the traveling salesperson problem (TSP). We ask whether, beyond producing good tours, a trained TSP solver learns internal…

Machine Learning · Computer Science 2026-02-10 Reuben Narad , Léonard Boussioux , Michael Wagner

The Dynamic Task Assignment Problem (DTAP) concerns matching resources to tasks in real time while minimizing some objectives, like resource costs or task cycle time. In this work, we consider a DTAP variant where every task is a case…

Artificial Intelligence · Computer Science 2025-04-29 Riccardo Lo Bianco , Willem van Jaarsveld , Jeroen Middelhuis , Luca Begnardi , Remco Dijkman

The Multiple Traveling Salesman Problem (MTSP) extends the traveling salesman problem by assigning multiple salesmen to visit a set of targets from a common depot, with each target visited exactly once while minimizing total tour length. A…

Optimization and Control · Mathematics 2026-04-28 Abhay Singh Bhadoriya , Deepjyoti Deka , Kaarthik Sundar

Severe weather events can cause extensive damage to electrical distribution networks, requiring a multi-day restoration effort. Optimizing the dispatch of repair crews minimizes the severe socio-economic consequences of such events.…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Ran Wei , Arindam K. Das , Payman Arabshahi , Daniel S. Kirschen

Traveling salesman problems (TSP) are one of the well-known combinatorial optimization problems that many groups tackle to solve. This problem appears in many types of combinational optimization, such as scheduling, route optimization, and…

Quantum Physics · Physics 2025-09-30 Hikaru Wakaura

In recent years, there has been much interest in phase transitions of combinatorial problems. Phase transitions have been successfully used to analyze combinatorial optimization problems, characterize their typical-case features and locate…

Artificial Intelligence · Computer Science 2011-07-04 W. Zhang

Over the past few years, unmanned aerial vehicles (UAV), also known as drones, have been adopted as part of a new logistic method in the commercial sector called "last-mile delivery". In this novel approach, they are deployed alongside…

Artificial Intelligence · Computer Science 2018-01-03 Quang Minh Ha , Yves Deville , Quang Dung Pham , Minh Hoàng Hà

We propose a simple and exact method for the Traveling Salesman Problem with Time Windows and Makespan objective (\TSPTW-M) that solves all instances of the classical benchmark with $50$ or more customers in less than ten seconds each.…

Data Structures and Algorithms · Computer Science 2026-03-11 Francisco J. Soulignac

Ising formulation is important for many NP problems (Lucas, 2014). This formulation enables implementing novel quantum computing methods including Quantum Approximate Optimization Algorithm and Variational Quantum Eigensolver (VQE). Here,…

Quantum Physics · Physics 2026-03-31 Omer Gurevich , Maor Matityahu , Tal Mor

Parking, matching, scheduling, and routing are common problems in train maintenance. In particular, train units are commonly maintained and cleaned at dedicated shunting yards. The planning problem that results from such situations is…

Artificial Intelligence · Computer Science 2019-07-11 Paulo R. de O. da Costa , J. Rhuggenaath , Y. Zhang , A. Akcay , W. Lee , U. Kaymak

Generating diverse populations of high quality solutions has gained interest as a promising extension to the traditional optimization tasks. This work contributes to this line of research with an investigation on evolutionary diversity…

Neural and Evolutionary Computing · Computer Science 2022-11-01 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Combinatorial optimization serves as an essential part in many modern industrial applications. A great number of the problems are offline setting due to safety and/or cost issues. While simulation-based approaches appear difficult to…

Machine Learning · Computer Science 2020-07-21 Wenpeng Wei , Toshiko Aizono

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

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