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We study a general family of facility location problems defined on planar graphs and on the 2-dimensional plane. In these problems, a subset of $k$ objects has to be selected, satisfying certain packing (disjointness) and covering…

Data Structures and Algorithms · Computer Science 2015-04-22 Dániel Marx , Michał Pilipczuk

We consider the problem of warehouse multi-robot automation system in discrete-time and discrete-space configuration with focus on the task allocation and conflict-free path planning. We present a system design where a centralized server…

Multiagent Systems · Computer Science 2019-04-10 Kam Fai Elvis Tsang , Yuqing Ni , Cheuk Fung Raphael Wong , Ling Shi

Due to recent booming of UAVs technologies, these are being used in many fields involving complex tasks. Some of them involve a high risk to the vehicle driver, such as fire monitoring and rescue tasks, which make UAVs excellent for…

Neural and Evolutionary Computing · Computer Science 2024-02-12 Cristian Ramirez-Atencia , Gema Bello-Orgaz , Maria D R-Moreno , David Camacho

Haplotype phasing, the process of resolving parental allele inheritance patterns in diploid genomes, is critical for precision medicine and population genetics, yet the underlying optimization is NP-hard, posing a scalability challenge. To…

Quadratic programming (QP) is a common and important constrained optimization problem. Here, we derive a surprising duality between constrained optimization with inequality constraints -- of which QP is a special case -- and consumer…

Statistical Mechanics · Physics 2019-05-22 Pankaj Mehta , Wenping Cui , Ching-Hao Wang , Robert Marsland

This paper addresses the challenges faced by algorithms, such as the Firefly Algorithm (FA) and the Genetic Algorithm (GA), in constrained optimization problems. While both algorithms perform well for unconstrained problems, their…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Aswathi Malanthara , Ishaan R Kale

This paper explores the possibility of near-optimally solving multi-agent, multi-task NP-hard planning problems with time-dependent rewards using a learning-based algorithm. In particular, we consider a class of robot/machine scheduling…

Machine Learning · Computer Science 2023-08-15 Hyunwook Kang , Taehwan Kwon , Jinkyoo Park , James R. Morrison

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

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

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

Machine Learning · Computer Science 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

Optimal Access Point (AP) selection is crucial for accurate indoor localization, yet it is constrained by budget, creating a trade-off between localization accuracy and deployment cost. Classical approaches to AP selection are often…

Emerging Technologies · Computer Science 2026-02-18 Mohamed Khalil Brik , Ahmed Shokry , Moustafa Youssef

Minimization of the number of cluster heads in a wireless sensor network is a very important problem to reduce channel contention and to improve the efficiency of the algorithm when executed at the level of cluster-heads. In this paper, we…

Networking and Internet Architecture · Computer Science 2011-04-05 Ehsan Heidari , Ali Movaghar

Airlines today are faced with a number of large scale scheduling problems. One such problem is the tail assignment problem, which is the task of assigning individual aircraft to a given set of flights, minimizing the overall cost. Each…

Optimal resource allocation (RA) in massive carrier aggregation scenarios is a challenging combinatorial optimization problem whose dimension is proportional to the number of users, component carriers (CCs), and OFDMA resource blocks per…

Information Theory · Computer Science 2017-06-19 Stelios Stefanatos , Fotis Foukalas , Theodoros A. Tsiftsis

This paper introduces a reinforcement learning (RL) approach to address the challenges associated with configuring and optimizing genetic algorithms (GAs) for solving difficult combinatorial or non-linear problems. The proposed RL+GA method…

For typical applications of UAVs in power grid scenarios, we construct the problem as planning UAV trajectories for coverage in cluttered environments. In this paper, we propose an optimal smooth coverage trajectory planning algorithm. The…

Robotics · Computer Science 2025-10-06 Duanjiao Li , Yun Chen , Ying Zhang , Junwen Yao , Dongyue Huang , Jianguo Zhang , Ning Ding

The fundamental goal assignment problem for a multi-robot application aims to assign a unique goal to each robot while ensuring collision-free paths, minimizing the total movement cost. A plausible algorithmic solution to this NP-hard…

Multiagent Systems · Computer Science 2024-02-22 Aakash , Indranil Saha

Quadratic assignment problem (QAP) is a fundamental problem in combinatorial optimization and finds numerous applications in operation research, computer vision, and pattern recognition. However, it is a very well-known NP-hard problem to…

Optimization and Control · Mathematics 2024-08-13 Shuyang Ling

The allocation of tasks to a large number of distributed satellites is a difficult problem owing to dynamic changes in massive tasks and the complex matching of tasks to satellites. To reduce the complexity of the problem, tasks that are…

Computer Science and Game Theory · Computer Science 2025-03-12 Weiyi Yang , Yingwu Chen , Xiaolu Liu , Jun Wen , Lei He

Carpooling has gained considerable importance in developed as well as in developing countries as an effective solution for controlling vehicular pollution, both sound and air. As carpooling decreases the number of vehicles used by…

Neural and Evolutionary Computing · Computer Science 2020-07-15 Romit S Beed , Sunita Sarkar , Arindam Roy , Suvranil D Biswas , Suhana Biswas