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Related papers: The Capacity Constrained Facility Location problem

200 papers

Min-max saddle point games have recently been intensely studied, due to their wide range of applications, including training Generative Adversarial Networks (GANs). However, most of the recent efforts for solving them are limited to special…

Optimization and Control · Mathematics 2021-08-10 Babak Barazandeh , Tianjian Huang , George Michailidis

Public goods are often either over-consumed in the absence of regulatory mechanisms, or remain completely unused, as in the Covid-19 pandemic, where social distance constraints are enforced to limit the number of people who can share public…

Computer Science and Game Theory · Computer Science 2021-05-25 Devansh Jalota , Qi Qi , Marco Pavone , Yinyu Ye

This paper introduces a framework of Constrained Mean-Field Games (CMFGs), where each agent solves a constrained Markov decision process (CMDP). This formulation captures scenarios in which agents' strategies are subject to feasibility,…

Optimization and Control · Mathematics 2025-10-15 Anran Hu , Zijiu Lyu

We study capacity accreditation of resource-colocated large loads, defined as large demands such as data center and manufacturing loads colocated with behind-the-meter generation and storage resources, synchronously connected to the bulk…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Siying Li , Lang Tong , Timothy D. Mount

We study the problem of design of strategyproof in expectation (SP) mechanisms for facility location on a cycle, with the objective of minimizing the sum of costs of $n$ agents. We show that there exists an SP mechanism that attains an…

Computer Science and Game Theory · Computer Science 2025-05-20 Krzysztof Rogowski , Marcin Dziubiński

In this paper, we investigate an optimal design problem motivated by some issues arising in population dynamics. In a nutshell, we aim at determining the optimal shape of a region occupied by resources for maximizing the survival ability of…

Analysis of PDEs · Mathematics 2017-09-08 Fabien Caubet , Thibaut Deheuvels , Yannick Privat

A fundamental assumption in classical mechanism design is that buyers are perfect optimizers. However, in practice, buyers may be limited by their computational capabilities or a lack of information, and may not be able to perfectly…

Theoretical Economics · Economics 2022-03-28 Santiago Balseiro , Omar Besbes , Francisco Castro

Metric facility location is a well-studied problem for which linear programming methods have been used with great success in deriving approximation algorithms. The capacity-constrained generalizations, such as capacitated facility location…

Data Structures and Algorithms · Computer Science 2014-06-17 Stavros G. Kolliopoulos , Yannis Moysoglou

Noticing that physical limitations are ubiquitous in practical engineering systems, this paper considers Nash equilibrium seeking for games in systems where the control inputs are bounded. More specifically, first-order integrator-type…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye

We introduce a constrained priority mechanism that combines outcome-based matching from machine-learning with preference-based allocation schemes common in market design. Using real-world data, we illustrate how our mechanism could be…

General Economics · Economics 2020-08-13 Avidit Acharya , Kirk Bansak , Jens Hainmueller

In this paper, the problem of distributed resource allocation is studied for an Internet of Things (IoT) system, composed of a heterogeneous group of nodes compromising both machine-type devices (MTDs) and human-type devices (HTDs). The…

Information Theory · Computer Science 2017-08-23 Nof Abuzainab , Walid Saad , Choong-Seon Hong , H. Vincent Poor

We study the maximum capture problem in facility location under random utility models, i.e., the problem of seeking to locate new facilities in a competitive market such that the captured user demand is maximized, assuming that each…

Optimization and Control · Mathematics 2022-03-29 Tien Thanh Dam , Thuy Anh Ta , Tien Mai

In this work, we design and analyze novel distributed scheduling algorithms for multi-user MIMO systems. In particular, we consider algorithms which do not require sending channel state information to a central processing unit, nor do they…

Information Theory · Computer Science 2015-03-20 Joseph Kampeas , Asaf Cohen , Omer Gurewitz

Inspired by the recent COVID-19 pandemic, we study a generalization of the multi-resource allocation problem with heterogeneous demands and Leontief utilities. Unlike existing settings, we allow each agent to specify requirements to only…

Theoretical Economics · Economics 2021-08-16 Steven Yin , Shatian Wang , Lingyi Zhang , Christian Kroer

This paper considers facility location problems in which a firm entering a market seeks to open facilities on a subset of candidate locations so as to maximize its expected market share, assuming that customers choose the available…

Optimization and Control · Mathematics 2024-02-19 Robin Legault , Emma Frejinger

The well-known influence maximization problem aims at maximizing the influence of one information cascade in a social network by selecting appropriate seed users prior to the diffusion process. In its adaptive version, additional seed users…

Social and Information Networks · Computer Science 2020-03-30 Guangmo Tong , Ruiqi Wang , Zheng Dong , Xiang Li

Smart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete…

Computer Science and Game Theory · Computer Science 2018-07-24 Matthias Pilz , Luluwah Al-Fagih

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

In social decision-making among strategic agents, a universal focus lies on the balance between social and individual interests. Socially efficient mechanisms are thus desirably designed to not only maximize the social welfare but also…

Computer Science and Game Theory · Computer Science 2024-07-29 Hirota Kinoshita , Takayuki Osogami , Kohei Miyaguchi

This paper proposes a novel capacity credit evaluation framework to accurately quantify the contribution of generalized energy storage (GES) to resource adequacy, considering both strategic capacity withholding and decision-dependent…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Ning Qi , Pierre Pinson , Mads R. Almassalkhi , Yingrui Zhuang , Yifan Su , Feng Liu