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In the multidimensional stable roommate problem, agents have to be allocated to rooms and have preferences over sets of potential roommates. We study the complexity of finding good allocations of agents to rooms under the assumption that…

计算机科学与博弈论 · 计算机科学 2020-05-01 Niclas Boehmer , Edith Elkind

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…

最优化与控制 · 数学 2025-09-29 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

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…

最优化与控制 · 数学 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

最优化与控制 · 数学 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

The Maximal Covering Location Problem (MCLP) is a classical location problem where a company maximizes the demand covered by placing a given number of facilities, and each demand node is covered if the closest facility is within a…

最优化与控制 · 数学 2024-09-10 Concepción Domínguez , Ricardo Gázquez , Juan Miguel Morales , Salvador Pineda

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…

最优化与控制 · 数学 2023-04-24 Etika Agarwal , Karthik S. Gurumoorthy , Ankit Ajit Jain , Shantala Manchenahally

We study the Student Project Allocation problem with lecturer preferences over Students (SPA-S), which involves the assignment of students to projects based on student preferences over projects, lecturer preferences over students, and…

计算机科学与博弈论 · 计算机科学 2025-10-23 Peace Ayegba , Sofiat Olaosebikan , David Manlove

In this paper, we present a framework to design approximation algorithms for capacitated facility location problems with penalties/outliers using LP-rounding. Primal-dual technique, which has been particularly successful in dealing with…

数据结构与算法 · 计算机科学 2021-08-19 Rajni Dabas , Neelima Gupta

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,…

最优化与控制 · 数学 2024-06-13 David Pinzon , Emma Frejinger , Bernard Gendron

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…

最优化与控制 · 数学 2024-02-19 Robin Legault , Emma Frejinger

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 $i$…

数据结构与算法 · 计算机科学 2014-09-15 Karen Aardal , Pieter van den Berg , Dion Gijswijt , Shanfei Li

We introduce optimal algorithms for the problems of data placement (DP) and page placement (PP) in networks with a constant number of clients each of which has limited storage availability and issues requests for data objects. The objective…

数据结构与算法 · 计算机科学 2013-09-30 Eric Angel , Evripidis Bampis , Gerasimos G. Pollatos , Vassilis Zissimopoulos

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,…

最优化与控制 · 数学 2021-04-23 Ali Akbar Sadat Asl , Ali Rouhani

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

计算机科学与博弈论 · 计算机科学 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

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…

计算机科学与博弈论 · 计算机科学 2024-12-06 Yu He , Alexander Lam , Minming Li

Facility location decisions significantly impact customer behavior and consequently the resulting demand in a wide range of businesses. Furthermore, sequentially realized uncertain demand enforces strategically determining locations under…

最优化与控制 · 数学 2020-01-08 Beste Basciftci , Shabbir Ahmed , Siqian Shen

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

最优化与控制 · 数学 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

We consider a discrete facility location problem with a new form of equity criterion. The model discussed in the paper analyzes the case where demand points only have strict preference order on the sites where the plants can be located. The…

最优化与控制 · 数学 2008-06-20 Inmaculada Espejo , Alfredo Marin , Justo Puerto , Antonio Rodriguez-Chia

In this paper, we study a facility location problem within a competitive market context, where customer demand is predicted by a random utility choice model. Unlike prior research, which primarily focuses on simple constraints such as a…

人工智能 · 计算机科学 2024-03-12 Hoang Giang Pham , Tien Thanh Dam , Ngan Ha Duong , Tien Mai , Minh Hoang Ha

The stable allocation problem is a many-to-many generalization of the well-known stable marriage problem, where we seek a bipartite assignment between, say, jobs (of varying sizes) and machines (of varying capacities) that is "stable" based…

数据结构与算法 · 计算机科学 2014-11-26 Ágnes Cseh , Brian C. Dean