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Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the…

Applications · Statistics 2023-02-23 Nikki Sonenberg , Victoria Volodina , Peter G. Challenor , Jim Q. Smith

By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting {\it Group-Server Queues}, and establishes two representative group-server queues through loss networks and impatient…

Performance · Computer Science 2017-07-24 Quan-Lin Li , Jing-Yu Ma , Mingzhou Xie , Li Xia

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

In this paper continuity theorems are established for the number of losses during a busy period of the $M/M/1/n$ queue. We consider an $M/GI/1/n$ queueing system where the service time probability distribution, slightly different in a…

Probability · Mathematics 2008-08-01 Vyacheslav M. Abramov

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

We consider a two-node tandem queueing network in which the upstream queue is GI/GI/1 and each job reuses its upstream service requirement when moving to the downstream queue. Both servers employ the first-in-first-out policy. To…

Probability · Mathematics 2018-10-01 H. Christian Gromoll , Bryce Terwilliger , Bert Zwart

We consider transmission of packets over queue-length sensitive unreliable links, where packets are randomly corrupted through a noisy channel whose transition probabilities are modulated by the queue-length. The goal is to characterize the…

Information Theory · Computer Science 2020-09-01 Daewon Seo , Avhishek Chatterjee , Lav R. Varshney

Message-oriented-middleware (MOM) has become an small industry. MOM offers queued transaction processing as an advance over pure client-server transaction processing. This note makes four points: Queued transaction processing is less…

Databases · Computer Science 2007-05-23 Jim Gray

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

Probability · Mathematics 2017-11-28 Lam M. Nguyen , Alexander Stolyar

We consider a model for transitory queues in which only a finite number of customers can join. The queue thus operates over a finite time horizon. In this system, also known as the $\Delta_{(i)}/G/1$ queue, the customers decide…

Probability · Mathematics 2018-11-26 Gianmarco Bet

A two-sided matching system is considered, where servers are assumed to arrive at a fixed rate, while the arrival rate of customers is modulated via a price-control mechanism. We analyse a loss model, wherein customers who are not served…

Optimization and Control · Mathematics 2022-07-26 Rahul Vaze , Jayakrishnan Nair

We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arrivals and service times with finite second moment, the…

Probability · Mathematics 2007-05-23 I. M. MacPhee , M. V. Menshikov , S. Popov , S. Volkov

We study randomized experiments in a service system when stochastic congestion can arise from temporarily limited supply or excess demand. Such congestion gives rise to cross-unit interference between the waiting customers, and analytic…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Shuangning Li , Ramesh Johari , Xu Kuang , Stefan Wager

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

Computer Science and Game Theory · Computer Science 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

We study networks of processes that all execute the same finite-state protocol and communicate via broadcasts. We are interested in two problems with a parameterized number of processes: the synchronization problem which asks whether there…

Logic in Computer Science · Computer Science 2025-06-30 Lucie Guillou , Arnaud Sangnier , Nathalie Sznajder

Problems of the switching parallel system designing provided spatial switching of packets from random time are discussed. Results of modeling of switching system as systems of mass service are resulted.

Networking and Internet Architecture · Computer Science 2016-11-17 Denis Kutuzov

The blocking problem naturally arises in transportation systems as multiple vehicles with different itineraries share available resources. In this paper, we investigate the impact of the blocking problem to the waiting time at the…

Systems and Control · Computer Science 2016-01-21 Shanyu Zhou , Hulya Seferoglu

In this paper we study the number of customers in infinite-server queues with a self-exciting (Hawkes) arrival process. Initially we assume that service requirements are exponentially distributed and that the Hawkes arrival process is of a…

Probability · Mathematics 2018-05-02 David Koops , Mayank Saxena , Onno Boxma , Michel Mandjes

We introduce and study a queue with the Erlang service system and whose arrivals are governed by a counting process in which there is a possibility of finitely many arrivals in an infinitesimal time interval. We call it the Erlang queue…

Probability · Mathematics 2025-01-16 R. B. Pote , K. K. Kataria

This paper gives an overview of recent research on the performance evaluation and design of carousel systems. We discuss picking strategies for problems involving one carousel, consider the throughput of the system for problems involving…

Probability · Mathematics 2014-04-23 Nelly Litvak , Maria Vlasiou