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We consider the following general scheduling problem studied recently by Moseley. There are $n$ jobs, all released at time $0$, where job $j$ has size $p_j$ and an associated arbitrary non-decreasing cost function $f_j$ of its completion…

Data Structures and Algorithms · Computer Science 2020-07-21 Nikhil Bansal , Jatin Batra

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

This paper focuses on the optimal sensor placement problem for the identification of pipe failure locations in large-scale urban water systems. The problem involves selecting the minimum number of sensors such that every pipe failure can be…

Systems and Control · Computer Science 2016-03-23 Lina Sela Perelman , Waseem Abbas , Xenofon Koutsoukos , Saurabh Amin

We address the optimal dynamic formation problem in mobile leader-follower networks where an optimal formation is generated to maximize a given objective function while continuously preserving connectivity. We show that in a convex mission…

Optimization and Control · Mathematics 2015-08-20 Xinmiao Sun , Christos G. Cassandras

We study joint optimization of service placement, request routing, and CPU sizing in a cooperative MEC system. The problem is considered from the perspective of the service provider (SP), which delivers heterogeneous MEC-enabled…

Networking and Internet Architecture · Computer Science 2024-05-20 Naeimeh Omidvar , Mahdieh Ahmadi , Seyed Mohammad Hosseini

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

Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

Artificial Intelligence · Computer Science 2026-05-08 Joshua Gibson , Kapil Dhakal

Placement is crucial in the physical design, as it greatly affects power, performance, and area metrics. Recent advancements in analytical methods, such as DREAMPlace, have demonstrated impressive performance in global placement. However,…

Machine Learning · Computer Science 2024-02-29 Ke Xue , Xi Lin , Yunqi Shi , Shixiong Kai , Siyuan Xu , Chao Qian

Accurate localization is an essential technology for the flexible navigation of robots in large-scale environments. Both SLAM-based and map-based localization will increase the computing load due to the increase in map size, which will…

Robotics · Computer Science 2024-04-30 Yixiao Feng , Zhou Jiang , Yongliang Shi , Yunlong Feng , Xiangyu Chen , Hao Zhao , Guyue Zhou

Meta continual learning algorithms seek to train a model when faced with similar tasks observed in a sequential manner. Despite promising methodological advancements, there is a lack of theoretical frameworks that enable analysis of…

Machine Learning · Computer Science 2020-10-12 R. Krishnan , Prasanna Balaprakash

The $k$-Facility Location problem is a generalization of the classical problems $k$-Median and Facility Location. The goal is to select a subset of at most $k$ facilities that minimizes the total cost of opened facilities and established…

Data Structures and Algorithms · Computer Science 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

Cloud computing datacenters provide millions of virtual machines in actual cloud markets. In this context, Virtual Machine Placement (VMP) is one of the most challenging problems in cloud infrastructure management, considering the large…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-11 Jammily Ortigoza , Fabio Lopez-Pires , Benjamın Baran

Knapsack problems are classic models that can formulate a wide range of applications. In this work, we deal with the Budgeted Maximum Coverage Problem (BMCP), which is a generalized 0-1 knapsack problem. Given a set of items with…

Artificial Intelligence · Computer Science 2020-07-14 Liwen Li , Zequn Wei , Jin-Kao Hao , Kun He

Particle-based dynamic occupancy maps were proposed in recent years to model the obstacles in dynamic environments. Current particle-based maps describe the occupancy status in discrete grid form and suffer from the grid size problem,…

Robotics · Computer Science 2023-10-20 Gang Chen , Wei Dong , Peng Peng , Javier Alonso-Mora , Xiangyang Zhu

In this paper, we study of the $m$-Capacitated Facility Location Problem ($m$-CFLP) on the line from a Bayesian Mechanism Design perspective and propose a novel class of mechanisms: the \textit{Extended Ranking Mechanisms} (ERMs). We first…

Computer Science and Game Theory · Computer Science 2024-06-18 Gennaro Auricchio , Jie Zhang , Mengxiao Zhang

We consider the problem of controlling a fully specified Markov decision process (MDP), also known as the planning problem, when the state space is very large and calculating the optimal policy is intractable. Instead, we pursue the more…

Optimization and Control · Mathematics 2019-01-09 Yasin Abbasi-Yadkori , Peter L. Bartlett , Xi Chen , Alan Malek

This paper addresses the single-item single-stocking location stochastic lot sizing problem under the $(s, S) $ policy. We first present a mixed integer non-linear programming (MINLP) formulation for determining near-optimal $(s, S)$ policy…

Optimization and Control · Mathematics 2018-09-17 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

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…

Data Structures and Algorithms · Computer Science 2021-08-19 Rajni Dabas , Neelima Gupta

Fire stations are among the most crucial emergency facilities in urban emergency control system in terms of their quick response to fires and other emergencies. Location plannings for fire stations have a significant influence on their…

Optimization and Control · Mathematics 2021-06-16 Xinghan Gong , Jun Liang , Yiping Zeng , Fanyu Meng , Simon Fong , Lili Yang

This paper addresses the sweep coverage problem of multi-agent systems in uncertain regions. A new formulation of distributed sweep coverage is proposed to cooperatively complete the workload in the uncertain region. Specifically, each…

Optimization and Control · Mathematics 2017-11-30 Chao Zhai