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Facility location problems on graphs are ubiquitous in real world and hold significant importance, yet their resolution is often impeded by NP-hardness. Recently, machine learning methods have been proposed to tackle such classical…

Machine Learning · Computer Science 2023-12-27 Wenxuan Guo , Yanyan Xu , Yaohui Jin

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

The reliable facility location problem (RFLP) is an important research topic of operational research and plays a vital role in the decision-making and management of modern supply chain and logistics. Through solving RFLP, the decision-maker…

Neural and Evolutionary Computing · Computer Science 2020-07-10 Han Zhang , Jialin Liu , Xin Yao

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

Optimization and Control · Mathematics 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen

The soft capacitated facility location problem (SCFLP) is a classic combinatorial optimization problem, with its variants widely applied in the fields of operations research and computer science. In the SCFLP, given a set $\mathcal{F}$ of…

Data Structures and Algorithms · Computer Science 2025-02-18 Hanyin Xiao , Jiaming Zhang , Zhikang Zhang , Weidong Li

The maximum k-plex problem is a computationally complex problem, which emerged from graph-theoretic social network studies. This paper presents an effective hybrid local search for solving the maximum k-plex problem that combines the…

Neural and Evolutionary Computing · Computer Science 2019-03-14 Yan Jin , John H. Drake , Una Benlic , Kun He

Neural networks, particularly message-passing neural networks (MPNNs), are increasingly used as heuristics for hard combinatorial optimization problems. Yet many learning-based methods rely on supervision, reinforcement learning, or…

Machine Learning · Computer Science 2026-05-14 Chendi Qian , Christopher Morris , Stefanie Jegelka , Christian Sohler

This paper presents a novel approach to solve capacitated facility location problems (FLP) that encompass various resource allocation problems. FLPs are a class of NP-hard combinatorial optimization problems, involving optimal placement and…

Optimization and Control · Mathematics 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

Linear programming has played a key role in the study of algorithms for combinatorial optimization problems. In the field of approximation algorithms, this is well illustrated by the uncapacitated facility location problem. A variety of…

Data Structures and Algorithms · Computer Science 2014-09-16 Hyung-Chan An , Mohit Singh , Ola Svensson

We study Facility Location with Matching, a Facility Location problem where, given additional information about which pair of clients is compatible to be matched, we need to match as many clients as possible and assign each matched client…

Data Structures and Algorithms · Computer Science 2026-02-24 Fateme Abbasi , Martin Böhm , Jarosław Byrka , Matin Mohammadi , Yongho Shin

Reinforcement learning has recently gained traction as a means to improve combinatorial optimization methods, yet its effectiveness within local search metaheuristics specifically remains comparatively underexamined. In this study, we…

Machine Learning · Computer Science 2026-01-14 Yannick Molinghen , Augustin Delecluse , Renaud De Landtsheer , Stefano Michelini

As modern microservice systems grow increasingly popular and complex-often consisting of hundreds or even thousands of fine-grained, interdependent components-they are becoming more susceptible to frequent and subtle failures. Ensuring…

Software Engineering · Computer Science 2026-01-19 Lingzhe Zhang , Yunpeng Zhai , Tong Jia , Chiming Duan , Siyu Yu , Jinyang Gao , Bolin Ding , Zhonghai Wu , Ying Li

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

Facility Location (FL) problems as one of the most important problems in operations research aim to determine the location of a set of facilities in a way that the total costs, including costs of opening facilities and transportation costs,…

Optimization and Control · Mathematics 2021-04-23 Ali Akbar Sadat Asl , Ali Rouhani

Point-feature label placement (PFLP) is a major area of interest within the filed of automated cartography, geographic information systems (GIS), and computer graphics. The objective of a label placement problem is to assign a label to each…

Computational Engineering, Finance, and Science · Computer Science 2017-12-19 Yasemin Ozkan Aydin , Kemal Leblebicioglu

A new variant of the classic capacitated facility location problem, which considers incompatibilities between customers, has recently been introduced in the literature. This problem captures the situation where given pairs of customers…

Artificial Intelligence · Computer Science 2026-05-28 Ida Gjergji , Lucas Kletzander , Nysret Musliu , Andrea Schaerf

We attack the 4-level facility location problem (4L-FLP), a critical component in supply chains. Foundational tasks here involve selecting markets, plants, warehouses, and distribution centers to maximize profits while considering related…

Optimization and Control · Mathematics 2025-04-22 Bahram Alidaee , Haibo Wang

Selecting a solution algorithm for the Facility Layout Problem (FLP), an NP-hard optimization problem with multiobjective trade-off, is a complex task that requires deep expert knowledge. The performance of a given algorithm depends on the…

Information Retrieval · Computer Science 2025-12-17 Nikhil N S , Bilal Muhammed , Soban Babu Beemaraj , Amol Dilip Joshi

We study local search algorithms for metric instances of facility location problems: the uncapacitated facility location problem (UFL), as well as uncapacitated versions of the $k$-median, $k$-center and $k$-means problems. All these…

Data Structures and Algorithms · Computer Science 2008-09-16 Anupam Gupta , Kanat Tangwongsan

The Maximal Covering Location Problem (MCLP) represents a fundamental optimization challenge in facility location theory, where the objective is to maximize demand coverage while operating under resource constraints. This paper presents a…

Data Structures and Algorithms · Computer Science 2025-09-30 Sukanya Samanta , Abhi Rohit Kalathoti , Siva Jayanth Gonchi , Venkata Krishna Kashyap Adiraju , Sai Kiran Nettem
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