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Related papers: Continuous maximal covering location problems with…

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We consider a facility location problem, where the objective is to ``disperse'' a number of facilities, i.e., select a given number k of locations from a discrete set of n candidates, such that the average distance between selected…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Henk Meijer

A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a…

Optimization and Control · Mathematics 2018-02-09 Bin Yu , John E. Mitchell , Jong-Shi Pang

In this paper we consider two special cases of the "cover-by-pairs" optimization problem that arise when we need to place facilities so that each customer is served by two facilities that reach it by disjoint shortest paths. These problems…

We study several variations of line segment covering problem with axis-parallel unit squares in $I\!\!R^2$. A set $S$ of $n$ line segments is given. The objective is to find the minimum number of axis-parallel unit squares which cover at…

Computational Geometry · Computer Science 2016-09-28 Ankush Acharyya , Subhas C. Nandy , Supantha Pandit , Sasanka Roy

In this paper we tackle the problem of persistently covering a complex non-convex environment with a team of robots. We consider scenarios where the coverage quality of the environment deteriorates with time, requiring to constantly revisit…

Robotics · Computer Science 2024-01-25 José Manuel Palacios-Gasós , Danilo Tardioli , Eduardo Montijano , Carlos Sagüés

Computer experiments are pivotal for modeling complex real-world systems. Maximizing information extraction and ensuring accurate surrogate modeling necessitates space-filling designs, where design points extensively cover the input domain.…

Methodology · Statistics 2025-08-01 Hui Lan , Xu He

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

Several novel mixed-integer linear and bilinear formulations are proposed for the optimum communication spanning tree problem. They implement the distance-based approach: graph distances are directly modeled by continuous, integral, or…

Optimization and Control · Mathematics 2021-01-12 Alexander Veremyev , Mikhail Goubko

In this article, we study the complexity of the upgrading version of the maximal covering location problem with edge length modifications on networks. This problem is NP-hard on general networks. However, in some particular cases, we prove…

Data Structures and Algorithms · Computer Science 2024-09-19 Marta Baldomero-Naranjo , Jörg Kalcsics , Antonio M. Rodríguez-Chía

Motivated by exploration of communication-constrained underground environments using robot teams, we study the problem of planning for intermittent connectivity in multi-agent systems. We propose a novel concept of information-consistency…

Robotics · Computer Science 2019-11-21 Filip Klaesson , Petter Nilsson , Aaron D. Ames , Richard M. Murray

We address the multi-satellite scheduling problem with limited observation capacities that arises from the need to observe a set of targets on the Earth's surface using imaging resources installed on a set of satellites. We define and…

Optimization and Control · Mathematics 2018-12-10 Xiaoyu Chen , Gerhard Reinelt , Guangming Dai , Andreas Spitz

We study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many facilities as possible subject to the…

Data Structures and Algorithms · Computer Science 2018-11-26 Alexander Grigoriev , Tim A. Hartmann , Stefan Lendl , Gerhard J. Woeginger

In this work, we present a modeling framework for minimax mixed 0-1 fuzzy linear problems. It is based on extending the usual rewriting of crisp minimax problems via auxiliary variables to model the maximum of a finite set of fuzzy linear…

Optimization and Control · Mathematics 2018-02-21 Manuel Arana-Jiménez , Víctor Blanco

We study an incremental network design problem, where in each time period of the planning horizon an arc can be added to the network and a maximum flow problem is solved, and where the objective is to maximize the cumulative flow over the…

Discrete Mathematics · Computer Science 2014-12-12 Thomas Kalinowski , Dmytro Matsypura , Martin W. P. Savelsbergh

The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Ambros Gleixner

In bi-objective integer optimization the optimal result corresponds to a set of non-dominated solutions. We propose a generic bi-objective branch-and-bound algorithm that uses a problem-independent branching rule exploiting available…

Data Structures and Algorithms · Computer Science 2018-09-19 Sophie N. Parragh , Fabien Tricoire

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

The vertex p-center problem consists of locating p facilities among a set of M potential sites such that the maximum distance from any demand to its closest located facility is minimized. The complete vertex p-center problem solves the…

Optimization and Control · Mathematics 2021-09-28 F. Antonio Medrano

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