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The Uncapacitated Facility Location (UFL) problem is one of the most fundamental clustering problems: Given a set of clients $C$ and a set of facilities $F$ in a metric space $(C \cup F, dist)$ with facility costs $open : F \to…

Data Structures and Algorithms · Computer Science 2026-01-29 Vincent Cohen-Addad , Fabrizio Grandoni , Euiwoong Lee , Chris Schwiegelshohn

Federated Learning (FL) is a decentralized paradigm that enables a client-server architecture to collaboratively train a global Artificial Intelligence model without sharing raw data, thereby preserving privacy. A key challenge in FL is…

Machine Learning · Computer Science 2025-10-07 Michael Ben Ali , Imen Megdiche , André Peninou , Olivier Teste

We propose a new scalable algorithm for facility location. Facility location is a classic problem, where the goal is to select a subset of facilities to open, from a set of candidate facilities F , in order to serve a set of clients C. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-13 Kiran Garimella , Gianmarco De Francisci Morales , Aristides Gionis , Mauro Sozio

We consider a truthful facility location problem with agents that have private positions on the line of real numbers and known optional preferences over two obnoxious facilities that must be placed at locations chosen from a given set of…

Computer Science and Game Theory · Computer Science 2024-10-22 Panagiotis Kanellopoulos , Alexandros A. Voudouris

This paper addresses an integrated lot-sizing and scheduling problem in the industry of consumer goods for personal care, a very competitive market in which the good customer service level and the cost management show up in the competition…

Optimization and Control · Mathematics 2023-05-30 K. A. G. Araujo , E. G. Birgin , M. S. Kawamura , D. P. Ronconi

Caches exploit temporal and spatial locality to allow a small memory to provide fast access to data stored in large, slow memory. The temporal aspect of locality is extremely well studied and understood, but the spatial aspect much less so.…

Data Structures and Algorithms · Computer Science 2022-05-31 Nathan Beckmann , Phillip B Gibbons , Charles McGuffey

The paper presents a new approach to solve multifacility location problems, which is based on mixed integer programming and algorithms for minimizing differences of convex (DC) functions. The main challenges for solving the multifacility…

Optimization and Control · Mathematics 2020-02-05 Anuj Bajaj , Boris Mordukhovich , Nguyen Mau Nam , Tuyen Tran

With the growing demand for latency-critical and computation-intensive Internet of Things (IoT) services, the IoT-oriented network architecture, mobile edge computing (MEC), has emerged as a promising technique to reinforce the computation…

Information Theory · Computer Science 2022-08-09 Jiechen Chen , Hong Xing , Xiaohui Lin , Arumugam Nallanathan , Suzhi Bi

In this paper the capacitated hub location problem is formulated by a minimax regret model, which takes into account uncertain setup cost and demand. We focus on hub location with multiple allocations as a strategic problem requiring one…

Data Structures and Algorithms · Computer Science 2017-09-19 Iman Kazemian , Samin Aref

Hospital choice models often employ random utility theory and include waiting time as a choice determinant. When applied to evaluate health system improvement interventions, these models disregard that hospital choice in turn is a…

Optimization and Control · Mathematics 2023-06-29 Joris van de Klundert , Roberto Cominetti , Yun Liu , Qingxia Kong

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic

This paper continues to develop and explore the impact of multipurpose trips on retail location. We develop the model of locating multiple competing facilities of a chain where several competing facilities exist in the area. There may be…

Optimization and Control · Mathematics 2024-02-13 Pawel Kalczynski , Zvi Drezner , Morton O'Kelly

We consider assortment and inventory planning problems with dynamic stockout-based substitution effects, and without replenishment, in two different settings: (1) Customers can see all available products when they arrive, a typical scenario…

Optimization and Control · Mathematics 2025-01-09 Shuo Sun , Rajan Udwani , Zuo-Jun Max Shen

Careful placement of a computational application within a target device cluster is critical for achieving low application completion time. The problem is challenging due to its NP-hardness and combinatorial nature. In recent years,…

Machine Learning · Computer Science 2023-05-25 Yi Hu , Chaoran Zhang , Edward Andert , Harshul Singh , Aviral Shrivastava , James Laudon , Yanqi Zhou , Bob Iannucci , Carlee Joe-Wong

Most algorithms for solving optimization problems or finding saddle points of convex-concave functions are fixed-point algorithms. In this work we consider the generic problem of finding a fixed point of an average of operators, or an…

Machine Learning · Computer Science 2020-06-17 Grigory Malinovsky , Dmitry Kovalev , Elnur Gasanov , Laurent Condat , Peter Richtárik

An agent's preferences depend on an ordered parameter or type. We characterize the set of utility functions with single-crossing differences (SCD) in convex environments. These include preferences over lotteries, both in expected utility…

Theoretical Economics · Economics 2023-06-06 Navin Kartik , SangMok Lee , Daniel Rappoport

We present a novel framework that combines machine learning with mixed-integer optimization to solve the Capacitated Location-Routing Problem (CLRP). The CLRP is a classical NP-hard problem that integrates strategic facility location with…

Optimization and Control · Mathematics 2026-02-24 Waquar Kaleem , Doyoung Lee , Changhyun Kwon , Anirudh Subramanyam

For deep ordinal classification, learning a well-structured feature space specific to ordinal classification is helpful to properly capture the ordinal nature among classes. Intuitively, when Euclidean distance metric is used, an ideal…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Cong Wang , Zhiwei Jiang , Yafeng Yin , Zifeng Cheng , Shiping Ge , Qing Gu

In practice, many machine learning (ML) problems come with constraints, and their applied domains involve distributed sensitive data that cannot be shared with others, e.g., in healthcare. Collaborative learning in such practical scenarios…

Machine Learning · Computer Science 2024-05-02 Chuan He , Le Peng , Ju Sun

This article presents a matheuristic algorithm for the single-source capacitated facility location problem (SSCFLP) and its variants: SSCFLP with K facilities (SSCKFLP), SSCFLP with contiguous service areas (CFLSAP), and SSCFLP with K…

Discrete Mathematics · Computer Science 2021-12-28 Yunfeng Kong