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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 design of caching algorithms to maximize hit probability has been extensively studied. In this paper, we associate each content with a utility, which is a function of either the corresponding content hit rate or hit probability. We…

Networking and Internet Architecture · Computer Science 2019-03-06 Nitish K. Panigrahy , Jian Li , Don Towsley , Christopher V. Hollot

We consider the P2P orienteering problem on general metrics and present a (2+{\epsilon}) approximation algorithm. In the stochastic P2P orienteering problem we are given a metric and each node has a fixed reward and random size. The goal is…

Data Structures and Algorithms · Computer Science 2015-01-27 Shalabh Vidyarthi , Kaushal K Shukla

We study a joint facility location and cost planning problem in a competitive market under random utility maximization (RUM) models. The objective is to locate new facilities and make decisions on the costs (or budgets) to spend on the new…

Optimization and Control · Mathematics 2024-01-17 Ngan Ha Duong , Tien Thanh Dam , Thuy Anh Ta , Tien Mai

We propose a new scalable algorithm for facility location. Facility location is a classic problem, where the goal is to select a subset of facilities to open, from a set of candidate facilities F , in order to serve a set of clients C. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-13 Kiran Garimella , Gianmarco De Francisci Morales , Aristides Gionis , Mauro Sozio

In this paper we study a multi-robot path planning problem for persistent monitoring of an environment. We represent the areas to be monitored as the vertices of a weighted graph. For each vertex, there is a constraint on the maximum time…

Robotics · Computer Science 2019-03-15 Ahmad Bilal Asghar , Stephen L. Smith , Shreyas Sundaram

Mobile robots, especially unmanned aerial vehicles (UAVs), are of increasing interest for surveillance and disaster response scenarios. We consider the problem of multi-robot persistent surveillance with connectivity constraints where…

Robotics · Computer Science 2020-01-17 Jürgen Scherer , Bernhard Rinner

The Metric $k$-median problem over a metric space $(\mathcal{X}, d)$ is defined as follows: given a set $L \subseteq \mathcal{X}$ of facility locations and a set $C \subseteq \mathcal{X}$ of clients, open a set $F \subseteq L$ of $k$…

Data Structures and Algorithms · Computer Science 2020-07-24 Dishant Goyal , Ragesh Jaiswal , Amit Kumar

We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

The problem of finding the shortest path for a vehicle visiting a given sequence of target points subject to the motion constraints of the vehicle is an important problem that arises in several monitoring and surveillance applications…

Robotics · Computer Science 2016-04-19 Sivakumar Rathinam , Pramod Khargonekar

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

Networking and Internet Architecture · Computer Science 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Barun Gorain , Partha Sarathi Mandal

Corporate mobility is often based on a fixed assignment of vehicles to employees. Relaxing this fixation and including alternatives such as public transportation or taxis for business and private trips could increase fleet utilization and…

Artificial Intelligence · Computer Science 2021-09-07 Sebastian Knopp , Benjamin Biesinger , Matthias Prandtstetter

We study a constrained distributed heterogeneous two-facility location problem, where a set of agents with private locations on the real line are divided into disjoint groups. The constraint means that the facilities can only be built in a…

Computer Science and Game Theory · Computer Science 2025-08-12 Xinru Xu , Wenjing Liu , Qizhi Fang

In this paper, we investigate vehicle routing problems with third-party transshipment facilities that arise in the context of city logistics. Contrary to classical vehicle routing problems, where each customer request is delivered directly…

Physics and Society · Physics 2021-09-06 Christian Friedrich , Ralf Elbert

We consider the online versions of two fundamental routing problems, traveling salesman (TSP) and dial-a-ride (DARP), which have a variety of relevant applications in logistics and robotics. The online versions of these problems concern…

Data Structures and Algorithms · Computer Science 2025-06-24 Swapnil Guragain , Gokarna Sharma

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

Platforms matching spatially distributed supply to demand face a fundamental design choice: given a fixed total budget of service range, how should it be allocated across supply nodes ex ante, i.e. before supply and demand locations are…

Probability · Mathematics 2026-02-19 Taha Ameen , Flore Sentenac , Sophie H. Yu

We study the Approximate Nearest Neighbor problem for metric spaces where the query points are constrained to lie on a subspace of low doubling dimension, while the data is high-dimensional. We show that this problem can be solved…

Computational Geometry · Computer Science 2012-09-19 Sariel Har-Peled , Nirman Kumar

This paper presents a fuzzy queuing location model for congested system. In a queuing system there are different criteria that are not constant such as service rate, service rate demand, queue length, the occupancy probability of a service…

Other Computer Science · Computer Science 2010-04-21 Reza Rabieyan
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