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Many real-world problems can be formulated as a constrained Traveling Salesman Problem (TSP). However, the constraints are always complex and numerous, making the TSPs challenging to solve. When the number of complicated constraints grows,…

Artificial Intelligence · Computer Science 2024-03-11 Jingxiao Chen , Ziqin Gong , Minghuan Liu , Jun Wang , Yong Yu , Weinan Zhang

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

The Vehicle Routing Problem is about optimizing the routes of vehicles to meet the needs of customers at specific locations. The route graph consists of depots on several levels and customer positions. Several optimization methods have been…

Artificial Intelligence · Computer Science 2024-09-18 László Kovács , Ali Jlidi

This paper focuses on automatic guided vehicle (AGV) trajectory planning in the presence of moving obstacles with known but complicated trajectories. In order to achieve good solution precision, optimality and unification, the concerned…

Robotics · Computer Science 2021-04-06 Bai Li , Youmin Zhang , Yakun Ouyang , Yi Liu , Xiang Zhong , Hangjie Cen , Qi Kong

The traveling salesman problem (TSP) and the graph partitioning problem (GPP) are two important combinatorial optimization problems with many applications. Due to the NP-hardness of these problems, heuristic algorithms are commonly used to…

Data Structures and Algorithms · Computer Science 2025-02-04 Ali Dasdan

The min-max vehicle routing problem (min-max VRP) traverses all given customers by assigning several routes and aims to minimize the length of the longest route. Recently, reinforcement learning (RL)-based sequential planning methods have…

Machine Learning · Computer Science 2024-06-07 Zhi Zheng , Shunyu Yao , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Ke Tang

Existing neural heuristics often train a deep architecture from scratch for each specific vehicle routing problem (VRP), ignoring the transferable knowledge across different VRP variants. This paper proposes the cross-problem learning to…

Artificial Intelligence · Computer Science 2024-06-19 Zhuoyi Lin , Yaoxin Wu , Bangjian Zhou , Zhiguang Cao , Wen Song , Yingqian Zhang , Senthilnath Jayavelu

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

Neural and Evolutionary Computing · Computer Science 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

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

In this paper, we address two optimisation problems arising in the context of city logistics and two-level transportation systems. The two-echelon vehicle routing problem and the two-echelon location routing problem seek to produce vehicle…

Data Structures and Algorithms · Computer Science 2016-10-05 Ulrich Breunig , Verena Schmid , Richard F. Hartl , Thibaut Vidal

Parking pressure has been steadily increasing in cities as well as in university and corporate campuses. To relieve this pressure, this paper studies a car-pooling platform that would match riders and drivers, while guaranteeing a ride back…

Optimization and Control · Mathematics 2019-09-17 Mohd Hafiz Hasan , Pascal Van Hentenryck , Antoine Legrain

Graph routing problems play a vital role in web-related networks, where finding optimal paths across graphs is essential for efficient data transmission and content delivery. Classic routing formulations such as the Traveling Salesman…

Machine Learning · Computer Science 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

This paper studies quantum optimization baselines for the Generalized Traveling Salesman Problem (GTSP), a clustered routing problem that naturally models variant selection and sequencing problems under discrete alternatives. We propose a…

We investigate a structural decomposition for the capacitated vehicle routing problem (CVRP) based on vehicle-to-customer "assignment" and visits "sequencing" decision variables. We show that an heuristic search focused on assignment…

Optimization and Control · Mathematics 2018-03-19 Túlio A. M. Toffolo , Thibaut Vidal , Tony Wauters

Most neural solvers for the Traveling Salesperson Problem (TSP) are trained to output a single solution, even though practitioners rarely stop there: at test time, they routinely spend extra compute on sampling or post-hoc search. This…

Machine Learning · Computer Science 2026-05-04 Andoni Irazusta Garmendia

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

Artificial Intelligence · Computer Science 2020-12-01 André Hottung , Kevin Tierney

We propose a hierarchical quantum approximate optimization framework for solving large-scale Vehicle Routing Problems (VRP) using Quantum Approximate Optimization Algorithm (QAOA). The method decomposes a VRP instance into balanced clusters…

Quantum Physics · Physics 2026-05-12 Shreetam Dash , Shreya Banerjee , Prasanta K. Panigrahi

The Traveling Salesman Problem (often called TSP) is a classic algorithmic problem in the field of computer science and operations research. It is an NP-Hard problem focused on optimization. TSP has several applications even in its purest…

Data Structures and Algorithms · Computer Science 2022-05-31 Amey Gohil , Manan Tayal , Tezan Sahu , Vyankatesh Sawalpurkar

The Bus Driver Scheduling Problem (BDSP) is a combinatorial optimization problem with the goal to design shifts to cover prearranged bus tours. The objective takes into account the operational cost as well as the satisfaction of drivers.…

Optimization and Control · Mathematics 2026-04-23 Lucas Kletzander , Tommaso Mannelli Mazzoli , Nysret Musliu , Pascal Van Hentenryck

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