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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

Dynamic facility location problems aim at placing one or more valuable resources over a planning horizon to meet customer demand. Existing literature commonly assumes that customer demand quantities are defined independently for each time…

Optimization and Control · Mathematics 2025-09-29 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

We study the extended version of the non-uniform, capacitated facility location problem with multiple fulfilment channels between the facilities and clients, each with their own channel capacities and service cost. Though the problem has…

Optimization and Control · Mathematics 2023-04-24 Etika Agarwal , Karthik S. Gurumoorthy , Ankit Ajit Jain , Shantala Manchenahally

We introduce a strategic decision-making problem faced by logistics providers (LPs) seeking facility location decisions that lead to profitable operations. The profitability depends on the revenue generated through agreements with shippers,…

Optimization and Control · Mathematics 2024-06-13 David Pinzon , Emma Frejinger , Bernard Gendron

This paper introduces the Hub Location Problem under Link Failures, a hub location problem in which activated inter-hub links may fail with a given probability. Two different optimization models are studied, which construct hub backbone…

Optimization and Control · Mathematics 2022-04-11 Víctor Blanco , Elena Fernández , Yolanda Hinojosa

We study a general problem of allocating limited resources to heterogeneous customers over time under model uncertainty. Each type of customer can be serviced using different actions, each of which stochastically consumes some combination…

Artificial Intelligence · Computer Science 2021-08-31 Wang Chi Cheung , Will Ma , David Simchi-Levi , Xinshang Wang

We study the capacitated $k$-facility location problem, in which we are given a set of clients with demands, a set of facilities with capacities and a constant number $k$. It costs $f_i$ to open facility $i$, and $c_{ij}$ for facility $i$…

Data Structures and Algorithms · Computer Science 2014-09-15 Karen Aardal , Pieter van den Berg , Dion Gijswijt , Shanfei Li

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

We study a variant of the competitive facility location problem, in which a company is to locate new facilities in a market where competitor's facilities already exist. We consider the scenario where only a limited number of possible…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Qingyun Tian

In this paper, we investigate a supply chain network with a supplier and multiple retailers. The supplier can either take orders from retailers directly, or choose to build a warehouse somewhere in the network to centralize the ordering…

General Economics · Economics 2025-07-15 Jianing Zhi , Xinghua Li , Zidong Chen

The recent large scale availability of mobility data, which captures individual mobility patterns, poses novel operational problems that are exciting and challenging. Motivated by this, we introduce and study a variant of the…

Data Structures and Algorithms · Computer Science 2023-12-12 Ozan Candogan , Yiding Feng

This paper investigates mechanism design for congested facility location problems, where agents are partitioned into groups with conflicting interests (e.g., competition for booking a basketball court in a gymnasium), and each agent's cost…

Computer Science and Game Theory · Computer Science 2025-08-20 Cheng Peng , Houyu Zhou

We consider the multi-item inventory lot-sizing problem with supplier selection. The problem consists of determining an optimal purchasing plan in order to satisfy dynamic deterministic demands for multiple items over a finite planning…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo , Marcio C. Santos

The bilevel facility location problem (BO-FLP) is one of the core optimization problems behind the design of many decentralized industrial systems, e.g., supply chain systems where a supplier constructs some critical facilities and then…

Optimization and Control · Mathematics 2026-03-24 Haitao Hu , Jing Li , Jiafu Tang , Bo Zeng

Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

Computer Science and Game Theory · Computer Science 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

Computer Science and Game Theory · Computer Science 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

We consider a multi-location inventory system where inventory choices at each location are centrally coordinated. Lateral transshipments are allowed as recourse actions within the same echelon in the inventory system to reduce costs and…

Artificial Intelligence · Computer Science 2011-02-10 Nabil Belgasmi , Lamjed Ben Said , Khaled Ghédira

This article describes a model and an exact solution method for facility location problems with decision-dependent uncertainties. The model allows characterizing the probability distribution of the random elements as a function of the…

Optimization and Control · Mathematics 2025-09-15 Giovanni Pantuso

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