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The Travelling Salesman Problem (TSP) is a challenging graph task in combinatorial optimization that requires reasoning about both local node neighborhoods and global graph structure. In this paper, we propose to use the novel Graph…

Artificial Intelligence · Computer Science 2020-07-10 Amal Nammouchi , Hakim Ghazzai , Yehia Massoud

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

For the traveling salesman problem (TSP), the existing supervised learning based algorithms suffer seriously from the lack of generalization ability. To overcome this drawback, this paper tries to train (in supervised manner) a small-scale…

Machine Learning · Computer Science 2021-02-25 Zhang-Hua Fu , Kai-Bin Qiu , Hongyuan Zha

In multi-agent applications such as surveillance and logistics, fleets of mobile agents are often expected to coordinate and safely visit a large number of goal locations as efficiently as possible. The multi-agent planning problem in these…

Robotics · Computer Science 2021-11-09 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Bi-level optimisation problems have gained increasing interest in the field of combinatorial optimisation in recent years. With this paper, we start the runtime analysis of evolutionary algorithms for bi-level optimisation problems. We…

Neural and Evolutionary Computing · Computer Science 2014-01-10 Dogan Corus , Per Kristian Lehre , Frank Neumann , Mojgan Pourhassan

Recently, a deep reinforcement learning method is proposed to solve multiobjective optimization problem. In this method, the multiobjective optimization problem is decomposed to a number of single-objective optimization subproblems and all…

Neural and Evolutionary Computing · Computer Science 2020-02-14 Hong Wu , Jiahai Wang , Zizhen Zhang

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

Allocating of people in multiple projects is an important issue considering the efficiency of groups from the point of view of social interaction. In this paper, based on previous works, the Multiple Team Formation Problem (MTFP) based on…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Jose G. M. Esgario , Iago E. da Silva , Renato A. Krohling

The chance-constrained knapsack problem is a variant of the classical knapsack problem where each item has a weight distribution instead of a deterministic weight. The objective is to maximize the total profit of the selected items under…

Neural and Evolutionary Computing · Computer Science 2020-04-09 Yue Xie , Aneta Neumann , Frank Neumann

The Generalised Travelling Salesman Problem (GTSP) is a well-known problem that, among other applications, arises in warehouse order picking, where each stock is distributed between several locations -- a typical approach in large modern…

Artificial Intelligence · Computer Science 2019-08-12 Olegs Nalivajevs , Daniel Karapetyan

We have introduced two crossover operators, MMX-BLXexploit and MMX-BLXexplore, for simultaneously solving multiple feature/subset selection problems where the features may have numeric attributes and the subset sizes are not predefined.…

Neural and Evolutionary Computing · Computer Science 2014-08-07 Arnab Roy , J. David Schaffer , Craig B. Laramee

In this study, we first introduce a new application of the asymmetric traveling salesman problem (ATSP) which is about a small restaurant with one cook and a single stove. Once a meal has started cooking on the stove, the cook prepares the…

Optimization and Control · Mathematics 2023-01-18 Tibet Duman , Ekrem Duman

In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

We present novel path-slicing strategies integrated with quantum local search to optimize solutions for the Traveling Salesman Problem (TSP), addressing the limitations of current Noisy Intermediate-Scale Quantum (NISQ) technologies. Our…

Quantum Physics · Physics 2024-07-19 Chen-Yu Liu , Hiromichi Matsuyama , Wei-hao Huang , Yu Yamashiro

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

Deep learning has been extended to a number of new domains with critical success, though some traditional orienteering problems such as the Travelling Salesman Problem (TSP) and its variants are not commonly solved using such techniques.…

Machine Learning · Computer Science 2019-03-11 Wei Shao , Flora D. Salim , Jeffrey Chan , Sean Morrison , Fabio Zambetta

Onsite Job Scheduling is a specialized variant of Vehicle Routing Problem (VRP) with multiple depots. The objective of this problem is to execute jobs requested by customers, belonging to different geographic locations by a limited number…

Optimization and Control · Mathematics 2023-06-06 Avijit Basak , Subhas Acharya

We present a map from the travelling salesman problem (TSP), a prototypical NP-complete combinatorial optimisation task, to the ground state associated with a system of many-qudits. Conventionally, the TSP is cast into a quadratic…

The $k$-Opt algorithm is a local search algorithm for the traveling salesman problem. Starting with an initial tour, it iteratively replaces at most $k$ edges in the tour with the same number of edges to obtain a better tour. Krentel (FOCS…

Data Structures and Algorithms · Computer Science 2026-03-13 Sophia Heimann , Hung P. Hoang , Stefan Hougardy

We present a novel framework for addressing the challenges of multi-Agent planning and formation control within intricate and dynamic environments. This framework transforms the Multi-Agent Path Finding (MAPF) problem into a Multi-Agent…

Robotics · Computer Science 2024-05-14 Zong Chen , Songyuan Fa , Yiqun Li