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Related papers: The Capacity Constrained Facility Location problem

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In this paper, we study mechanism design for single-facility location games where each agent has multiple private locations in [0, 1]. The individual objective is a satisfaction function that measures the discrepancy between the optimal…

Computer Science and Game Theory · Computer Science 2025-12-30 Huanjun Wang , Qizhi Fang , Wenjing Liu

We take the classic facility location problem and consider a variation, in which each agent's individual cost function is equal to their distance from the facility multiplied by a scaling factor which is determined by the facility…

Computer Science and Game Theory · Computer Science 2024-12-06 Yu He , Alexander Lam , Minming Li

Compared with large-scale physical batteries, aggregated and coordinated generic energy storage (GES) resources provide low-cost, but uncertain, flexibility for power grid operations. While GES can be characterized by different types of…

Optimization and Control · Mathematics 2025-06-10 Ning Qi , Pierre Pinson , Mads R. Almassalkhi , Lin Cheng , Yingrui Zhuang

This manuscript investigates the information-theoretic limits of integrated sensing and communications (ISAC), aiming for simultaneous reliable communication and precise channel state estimation. We model such a system with a…

Information Theory · Computer Science 2024-03-29 Xinyang Li , Vlad C. Andrei , Aladin Djuhera , Ullrich J. Mönich , Holger Boche

Motivated by the complex dynamics of cooperative and competitive interactions within networked agent systems, multi-cluster games provide a framework for modeling the interconnected goals of self-interested clusters of agents. For this…

Optimization and Control · Mathematics 2024-04-24 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

Network cache allocation and management are important aspects of the design of an Information-Centric Network (ICN), such as one based on Named Data Networking (NDN). We address the problem of optimal cache size allocation and content…

Optimization and Control · Mathematics 2021-05-13 Van Sy Mai , Stratis Ioannidis , Davide Pesavento , Lotfi Benmohamed

In Facility Location problems there are agents that should be connected to facilities and locations where facilities may be opened so that agents can connect to them. We depart from Uncapacitated Facility Location and by assuming that the…

Computer Science and Game Theory · Computer Science 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

Components connected over a network influence each other and interact in various ways. Examples of such systems are networks of computing nodes, which the nodes interact by exchanging workload, for instance, for load balancing purposes. In…

Numerical Analysis · Mathematics 2020-06-30 Ehsan Siavashi , Mahshid Rahnamay-Naeini

In urban environments, supply resources have to be constantly matched to the "right" locations (where customer demand is present) so as to improve quality of life. For instance, ambulances have to be matched to base stations regularly so as…

Machine Learning · Computer Science 2021-02-25 Abhinav Bhatia , Pradeep Varakantham , Akshat Kumar

This paper addresses the problem of locating base stations in a certain area which is highly populated by mobile stations; each mobile station is assumed to select the closest base station. Base stations are modeled by players who choose…

Networking and Internet Architecture · Computer Science 2011-05-12 François Mériaux , Samson Lasaulce , Michel Kieffer

The design of optimal dynamic disturbance accommodation controller with limited model information is considered. We adapt the family of limited model information control design strategies, defined earlier by the authors, to handle dynamic…

Optimization and Control · Mathematics 2012-08-01 F. Farokhi , C. Langbort , K. H. Johansson

The Facility Location Problem (FLP) is a well-studied optimization problem with applications in many real-world scenarios. Past literature has explored the solutions from different perspectives to tackle FLPs. These include investigating…

Computer Science and Game Theory · Computer Science 2025-02-21 Avyukta Manjunatha Vummintala , Shivam Gupta , Shweta Jain , Sujit Gujar

Capacitated fair-range $k$-clustering generalizes classical $k$-clustering by incorporating both capacity constraints and demographic fairness. In this setting, each facility has a capacity limit and may belong to one or more demographic…

Data Structures and Algorithms · Computer Science 2025-05-23 Ameet Gadekar , Suhas Thejaswi

Performance and reliability of content access in mobile networks is conditioned by the number and location of content replicas deployed at the network nodes. Facility location theory has been the traditional, centralized approach to study…

Networking and Internet Architecture · Computer Science 2009-09-11 Chi-Anh La , Pietro Michiardi , Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore

We study a cache network in which intermediate nodes equipped with caches can serve requests. We model the problem of jointly optimizing caching and routing decisions with link capacity constraints over an arbitrary network topology. This…

Networking and Internet Architecture · Computer Science 2023-02-07 Yuanyuan Li , Yuchao Zhang , Stratis Ioannidis , Jon Crowcroft

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

Securely and efficiently procuring energy balancing services in distribution networks remains challenging, especially within a privacy-preserving environment. This paper proposes a network-constrained demand response game, i.e., a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Xiupeng Chen , Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , Nima Monshizadeh

We study mechanisms for candidate selection that seek to minimize the social cost, where voters and candidates are associated with points in some underlying metric space. The social cost of a candidate is the sum of its distances to each…

Computer Science and Game Theory · Computer Science 2015-12-29 Michal Feldman , Amos Fiat , Iddan Golomb

We study private-good allocation under general constraints. Several prominent examples are special cases, including house allocation, roommate matching, social choice, and multiple assignment. Every individually strategy-proof and Pareto…

Theoretical Economics · Economics 2025-11-04 Joseph Root , David S. Ahn

We propose and investigate a general class of discrete time and finite state space mean field game (MFG) problems with potential structure. Our model incorporates interactions through a congestion term and a price variable. It also allows…

Optimization and Control · Mathematics 2023-03-07 J. Frédéric Bonnans , Pierre Lavigne , Laurent Pfeiffer
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