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In this paper, we investigate a special case of the static aircraft landing problem (ALP) with the objective to optimize landing sequences and landing times for a set of air planes. The problem is to land the planes on one or multiple…

Data Structures and Algorithms · Computer Science 2016-11-18 Abhishek Awasthi , Oliver Kramer , Jörg Lässig

This paper explores the Mechanism Design aspects of the $m$-Capacitated Facility Location Problem where the total facility capacity is less than the number of agents. Following the framework outlined by Aziz et al., the Social Welfare of…

Computer Science and Game Theory · Computer Science 2024-07-29 Gennaro Auricchio , Harry J. Clough , Jie Zhang

We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the…

Data Structures and Algorithms · Computer Science 2015-05-18 Jaroslaw Byrka , Aravind Srinivasan , Chaitanya Swamy

Members of international organizations often meet in person at a common location for discussions. There is frequently disagreement over the place and time of the meeting due to the different travel efforts of the members. They usually…

Physics and Society · Physics 2020-05-19 Peter Hillmann , Bastian Kühnel , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

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

We study the fair division problem of allocating multiple resources among a set of agents with Leontief preferences that are each required to complete a finite amount of work, which we term "limited demands". We examine the behavior of the…

Computer Science and Game Theory · Computer Science 2021-03-02 Sushirdeep Narayana , Ian A. Kash

Single Row Equidistant Facility Layout Problem SREFLP is with an NP-Hard nature to mimic material handling costs along with equally spaced straight-line facilities layout. Based on literature, it is obvious that efforts of researchers for…

Data Structures and Algorithms · Computer Science 2022-12-22 Shrouq Gamal , Ahmed A. Hawam , Ahmed M. El-Kassas

There are many economic contexts where the productivity and welfare performance of institutions and policies depend on who matches with whom. Examples include caseworkers and job seekers in job search assistance programs, medical doctors…

Econometrics · Economics 2025-07-21 Yagan Hazard , Toru Kitagawa

We consider strategy proof mechanisms for facility location which maximize equitability between agents. As is common in the literature, we measure equitability with the Gini index. We first prove a simple but fundamental impossibility…

Computer Science and Game Theory · Computer Science 2025-06-13 Toby Walsh

We consider a natural extension to the metric uncapacitated Facility Location Problem (FLP) in which requests ask for different commodities out of a finite set $S$ of commodities. Ravi and Sinha (SODA'04) introduced the model as the…

Data Structures and Algorithms · Computer Science 2020-05-20 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

Classical clustering problems such as \emph{Facility Location} and \emph{$k$-Median} aim to efficiently serve a set of clients from a subset of facilities -- minimizing the total cost of facility openings and client assignments in Facility…

Data Structures and Algorithms · Computer Science 2025-08-05 Rajni Dabas , Samir Khuller , Emilie Rivkin

Allocation of scarce healthcare resources under limited logistic and infrastructural facilities is a major issue in the modern society. We consider the problem of allocation of healthcare resources like vaccines to people or hospital beds…

Multiagent Systems · Computer Science 2023-03-21 Aadityan Ganesh , Prajakta Nimbhorkar , Pratik Ghosal , Vishwa Prakash HV

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

In this work, we study the extension of two variants of the facility location problem (FL) to make them robust towards a few distantly located clients. First, $k$-facility location problem ($k$FL), a common generalization of FL and $k$…

Data Structures and Algorithms · Computer Science 2021-07-02 Rajni Dabas , Neelima Gupta

In the facility location problem, the task is to place one or more facilities so as to minimize the sum of the agent costs for accessing their nearest facility. Heretofore, in the strategic version, agent locations have been assumed to be…

Computer Science and Game Theory · Computer Science 2025-05-26 Richard Cole , Pranav Jangir

The definition of factor space and a unified optimization based classification model were developed for linear programming. Intelligent behaviour appeared in a decision process can be treated as a point y, the dynamic state observed and…

Optimization and Control · Mathematics 2021-01-12 Jing He , Qi-Wei Kong , Ho-Chung Lui , Hai-Tao Liu , Yi-Mu Ji , Hai-Chang Yao , Mo-Zhengfu Liu

This paper considers solving the unequal area Dynamic Facility Layout Problem (DFLP) using a zone-based structure. Zone-based layouts have significant advantages, such as being easily transferable to a detailed layout with innately included…

Optimization and Control · Mathematics 2023-09-07 Sadan Kulturel-Konak , Abdullah Konak

We consider a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

Computer Science and Game Theory · Computer Science 2021-03-25 Bart de Keijzer , Dominik Wojtczak

Fair resource allocation is a fundamental optimization problem with applications in operations research, networking, and economic and game theory. Research in these areas has led to the general acceptance of a class of $\alpha$-fair utility…

Data Structures and Algorithms · Computer Science 2020-11-17 Jelena Diakonikolas , Maryam Fazel , Lorenzo Orecchia

We present an approach to couple the resolution of Combinatorial Optimization problems with methods from Machine Learning, applied to the single source, capacitated, facility location problem. Our study is framed in the context where a…

Optimization and Control · Mathematics 2024-04-09 Andrea Lodi , Luca Mossina , Emmanuel Rachelson
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