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This paper provides a systematic study of several proposed measures for online algorithms in the context of a specific problem, namely, the two server problem on three colinear points. Even though the problem is simple, it encapsulates a…

Data Structures and Algorithms · Computer Science 2012-10-15 Joan Boyar , Sandy Irani , Kim S. Larsen

The allocation of computing tasks for networked distributed services poses a question to service providers on whether centralized allocation management be worth its cost. Existing analytical models were conceived for users accessing…

Computer Science and Game Theory · Computer Science 2024-04-09 Vincenzo Mancuso , Paolo Castagno , Leonardo Badia , Matteo Sereno , Marco Ajmone Marsan

We consider the online minimum cost matching problem on the line, in which there are $n$ servers and, at each of $n$ time steps, a request arrives and must be irrevocably matched to a server that has not yet been matched to, with the goal…

Data Structures and Algorithms · Computer Science 2025-03-28 Eric Balkanski , Yuri Faenza , Noemie Perivier

We consider the problem of scheduling in multi-class, parallel-server queuing systems with uncertain rewards from job-server assignments. In this scenario, jobs incur holding costs while awaiting completion, and job-server assignments yield…

Machine Learning · Computer Science 2025-08-15 Jung-hun Kim , Milan Vojnovic

We propose throughput and cost optimal job scheduling algorithms in cloud computing platforms offering Infrastructure as a Service. We first consider online migration and propose job scheduling algorithms to minimize job migration and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-07 Haritha K , Chandramani Singh

Modern day continued demand for resource hungry services and applications in IT sector has led to development of Cloud computing. Cloud computing environment involves high cost infrastructure on one hand and need high scale computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-18 Mayanka Katyal , Atul Mishra

We consider a scheduling problem where machines need to be rented from the cloud in order to process jobs. There are two types of machines available which can be rented for machine-type dependent prices and for arbitrary durations. However,…

Data Structures and Algorithms · Computer Science 2016-12-22 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

Computer Science and Game Theory · Computer Science 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

We consider the job assignment problem in a multi-server system consisting of $N$ parallel processor sharing servers, categorized into $M$ ($\ll N$) different types according to their processing capacity or speed. Jobs of random sizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-23 Arpan Mukhopadhyay , A. Karthik , Ravi R. Mazumdar

In this paper we schedule the travel path of a set of drones across a graph where the nodes need to be visited multiple times at pre-defined points in time. This is an extension of the well-known multiple traveling salesman problem. The…

Artificial Intelligence · Computer Science 2021-01-06 Emmanouil Rigas , Panayiotis Kolios , Georgios Ellinas

We consider the setting where a service is hosted on a third-party edge server deployed close to the users and a cloud server at a greater distance from the users. Due to the proximity of the edge servers to the users, requests can be…

Networking and Internet Architecture · Computer Science 2024-03-07 Aadesh Madnaik , Sharayu Moharir , Nikhil Karamchandani

This paper studies spatiotemporal pricing and fleet management for autonomous mobility-on-demand (AMoD) systems while taking elastic demand into account. We consider a platform that offers ride-hailing services using a fleet of autonomous…

Optimization and Control · Mathematics 2024-04-02 Zhijie Lai , Sen Li

In this paper, we study a dynamic on/off server scheduling problem in a queueing system with multi-class servers, where servers are heterogeneous and can be classified into $K$ groups. Servers in the same group are homogeneous. A scheduling…

Optimization and Control · Mathematics 2018-09-13 Li Xia , Zhe George Zhang , Quan-Lin Li , Peter W. Glynn

In the online facility assignment problem OFA(k,\ell), there exist k servers with a capacity \ell \geq 1 on a metric space and a request arrives one-by-one. The task of an online algorithm is to irrevocably match a current request with one…

Data Structures and Algorithms · Computer Science 2022-08-11 Tsubasa Harada , Toshiya Itoh , Shuichi Miyazaki

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

We consider the problem of dynamically scheduling J jobs on N processors for non-preemptive execution where the value of each job (or the reward garnered upon completion) decays over time. All jobs are initially available in a buffer and…

Optimization and Control · Mathematics 2009-07-22 Carri W. Chan , Nick Bambos

We study the problem of scheduling sensors in a resource-constrained linear dynamical system, where the objective is to select a small subset of sensors from a large network to perform the state estimation task. We formulate this problem as…

Systems and Control · Computer Science 2018-04-05 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

We consider the problem of assigning or allocating resources to a set of jobs. We consider the case when the resources are fungible, that is, the job can be done with any mix of the resources, but with different efficiencies. In our…

Optimization and Control · Mathematics 2021-04-20 Akshay Agrawal , Stephen Boyd , Deepak Narayanan , Fiodar Kazhamiaka , Matei Zaharia

Mobility-on-demand (MoD) ridesharing is a promising way to improve the occupancy rate of personal vehicles and reduce traffic congestion and emissions. Maximizing the number of passengers served and maximizing a profit target are major…

Data Structures and Algorithms · Computer Science 2023-10-10 Qian-Ping Gu , Jiajian Leo Liang

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal