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We introduce multi-goal multi agent path finding (MAPF$^{MG}$) which generalizes the standard discrete multi-agent path finding (MAPF) problem. While the task in MAPF is to navigate agents in an undirected graph from their starting vertices…

Artificial Intelligence · Computer Science 2020-09-14 Pavel Surynek

Ant Colony Optimisation (ACO) is a well known metaheuristic that has proven successful at solving Travelling Salesman Problems (TSP). However, ACO suffers from two issues; the first is that the technique has significant memory requirements…

Neural and Evolutionary Computing · Computer Science 2017-09-12 Darren M. Chitty

This paper presents an algorithm for multiobjective optimization that blends together a number of heuristics. A population of agents combines heuristics that aim at exploring the search space both globally and in a neighborhood of each…

Computational Engineering, Finance, and Science · Computer Science 2012-06-07 Massimiliano Vasile , Federico Zuiani

Automated experimentation has the potential to revolutionize scientific discovery, but its effectiveness depends on well-defined optimization targets, which are often uncertain or probabilistic in real-world settings. In this work, we…

Machine Learning · Computer Science 2025-04-10 Yu Liu , Sergei V. Kalinin

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

Conventional multi-agent path planners typically compute an ensemble of paths while optimizing a single objective, such as path length. However, many applications may require multiple objectives, say fuel consumption and completion time, to…

Artificial Intelligence · Computer Science 2022-06-23 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Optimistic methods have been applied with success to single-objective optimization. Here, we attempt to bridge the gap between optimistic methods and multi-objective optimization. In particular, this paper is concerned with solving…

Optimization and Control · Mathematics 2016-12-28 Abdullah Al-Dujaili , S. Suresh

The travelling salesman problem (TSP) of space trajectory design is complicated by its complex structure design space. The graph based tree search and stochastic seeding combinatorial approaches are commonly employed to tackle the…

Optimization and Control · Mathematics 2021-09-07 Liqiang Hou , Shufan Wu , Zhongcheng Mu , Meilin Liu

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

Physics and Society · Physics 2015-09-16 Luís F. Seoane , Ricard Solé

Using an enhanced Self-Organizing Map method, we provided suboptimal solutions to the Traveling Salesman Problem. Besides, we employed hyperparameter tuning to identify the most critical features in the algorithm. All improvements in the…

Neural and Evolutionary Computing · Computer Science 2022-01-20 Joao P. A. Dantas , Andre N. Costa , Marcos R. O. A. Maximo , Takashi Yoneyama

Many scientific and industrial applications require the joint optimization of multiple, potentially competing objectives. Multi-objective Bayesian optimization (MOBO) is a sample-efficient framework for identifying Pareto-optimal solutions.…

Machine Learning · Computer Science 2024-06-10 Ji Won Park , Nataša Tagasovska , Michael Maser , Stephen Ra , Kyunghyun Cho

The problem of rate control in multi-user multiple-input multiple-output (MIMO) interference systems is formulated as a multicriteria optimization (MCO) problem. The Pareto rate region of the MCO problem is characterized. It is shown that…

Computer Science and Game Theory · Computer Science 2013-02-20 Zengmao Chen , Sergiy A. Vorobyov , Cheng-Xiang Wang , John Thompson

With IoT systems' increasing scale and complexity, maintenance of a large number of nodes using stationary devices is becoming increasingly difficult. Hence, mobile devices are being employed that can traverse through a set of target…

Quantum Physics · Physics 2023-10-30 Mayukh Sarkar , Jitesh Pradhan , Anil Kumar Singh , Hathiram Nenavath

This paper addresses a generalization of the well known multi-agent path finding (MAPF) problem that optimizes multiple conflicting objectives simultaneously such as travel time and path risk. This generalization, referred to as…

Robotics · Computer Science 2022-03-08 Zhongqiang Ren , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics, requiring the computation of collision-free paths for multiple agents moving from their respective start to goal positions. Coordinating multiple agents in a shared…

Robotics · Computer Science 2024-12-25 Jinhao Liang , Jacob K. Christopher , Sven Koenig , Ferdinando Fioretto

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

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

Alignment in artificial intelligence pursues the consistency between model responses and human preferences as well as values. In practice, the multifaceted nature of human preferences inadvertently introduces what is known as the "alignment…

Computation and Language · Computer Science 2024-10-14 Yiju Guo , Ganqu Cui , Lifan Yuan , Ning Ding , Zexu Sun , Bowen Sun , Huimin Chen , Ruobing Xie , Jie Zhou , Yankai Lin , Zhiyuan Liu , Maosong Sun

Multi-Agent Path Finding (MAPF) focuses on determining conflict-free paths for multiple agents navigating through a shared space to reach specified goal locations. This problem becomes computationally challenging, particularly when handling…

Artificial Intelligence · Computer Science 2025-07-10 Thore Gerlach , Loong Kuan Lee , Frédéric Barbaresco , Nico Piatkowski

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt