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This paper studies a practical regional demand continuous multifacility location problems whose main goal is to locate a given number of services and entry points in each region to distribute certain products to the users at minimum…

Optimization and Control · Mathematics 2024-12-31 Víctor Blanco , Ricardo Gázquez , Marina Leal

We consider the Monge problem of optimal transport between a compactly supported source measure and a target probability measure with unbounded support. We consider the convergence of optimal maps and potential functions when the target…

Numerical Analysis · Mathematics 2026-03-03 Axel G. R. Turnquist

We consider the problem of capacitated kinetic clustering in which $n$ mobile terminals and $k$ base stations with respective operating capacities are given. The task is to assign the mobile terminals to the base stations such that the…

Networking and Internet Architecture · Computer Science 2016-02-29 Chien-Chun Ni , Zhengyu Su , Jie Gao , Xianfeng David Gu

In the unsplittable flow problem on a path, we are given a capacitated path $P$ and $n$ tasks, each task having a demand, a profit, and start and end vertices. The goal is to compute a maximum profit set of tasks, such that for each edge…

Data Structures and Algorithms · Computer Science 2015-03-19 Paul Bonsma , Jens Schulz , Andreas Wiese

We consider a truthful facility location problem in which there is a set of agents with private locations on the line of real numbers, and the goal is to place a number of facilities at different locations chosen from the set of those…

Computer Science and Game Theory · Computer Science 2025-02-18 Argyrios Deligkas , Mohammad Lotfi , Alexandros A. Voudouris

The facility location problem is a well-known challenge in logistics that is proven to be NP-hard. In this paper we specifically simulate the geographical placement of facilities to provide adequate service to customers. Determining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-03 Peter Hillmann , Tobias Uhlig , Gabi Dreo Rodosek , Oliver Rose

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

Facility Location problems ask to place facilities in a way that optimizes a given objective function so as to provide a service to all clients. These are one of the most well-studied optimization problems spanning many research areas such…

Data Structures and Algorithms · Computer Science 2020-07-01 Christine Markarian , Abdul-Nasser Kassar , Manal Yunis

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 uncapacitated facility location has always been an important problem due to its connection to operational research and infrastructure planning. Byrka obtained an algorithm that is parametrized by $\gamma$ and proved that it is optimal…

Data Structures and Algorithms · Computer Science 2016-10-25 Haotian Jiang

We study a class of projective transformations of spectraplexes associated with self-dual cones and, on this basis, propose a polynomial-time algorithm for convex feasibility problems with positive definite constraints. At each iteration of…

Optimization and Control · Mathematics 2025-06-19 Sergei Chubanov

In this paper, we introduce a new variant of the $p$-median facility location problem in which it is assumed that the exact location of the potential facilities is unknown. Instead, each of the facilities must be located in a region around…

Optimization and Control · Mathematics 2017-10-24 Víctor Blanco

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

In the uncapacitated facility location problem, given a graph, a set of demands and opening costs, it is required to find a set of facilities R, so as to minimize the sum of the cost of opening the facilities in R and the cost of assigning…

Data Structures and Algorithms · Computer Science 2010-02-03 Shiri Chechik , David Peleg

Understanding the dynamics of evolving social or infrastructure networks is a challenge in applied areas such as epidemiology, viral marketing, or urban planning. During the past decade, data has been collected on such networks but has yet…

Social and Information Networks · Computer Science 2014-03-27 David Eisenstat , Claire Mathieu , Nicolas Schabanel

The capacitated p-center problem requires to select p facilities from a set of candidates to service a number of customers, subject to facility capacity constraints, with the aim of minimizing the maximum distance between a customer and its…

Data Structures and Algorithms · Computer Science 2018-03-14 Raphael Kramer , Manuel Iori , Thibaut Vidal

In this paper we consider several constrained activity scheduling problems in the time and space domains, like finding activity orderings which optimize the values of several objective functions (time scheduling) or finding optimal…

Data Structures and Algorithms · Computer Science 2009-06-09 Madalina Ecaterina Andreica , Mugurel Ionut Andreica , Angela Andreica

The Capacitated Facility Location (CFL), a long-standing classic problem with intriguing approximability and literature dated back to the 90s, is considered. Following the open question posted in [Williamson and Shmoys, 2011] and the…

Data Structures and Algorithms · Computer Science 2022-03-29 Mong-Jen Kao

In this paper we consider several facility location problems with applications to cost and social welfare optimization, when the area map is encoded as a binary (0,1) mxn matrix. We present algorithmic solutions for all the problems. Some…

Data Structures and Algorithms · Computer Science 2013-01-31 Mugurel Ionut Andreica , Cristina Teodora Andreica , Madalina Ecaterina Andreica

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
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