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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

Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling…

Performance · Computer Science 2020-08-04 Jin Xu , Natarajan Gautam

Learning in games has been widely used to solve many cooperative multi-agent problems such as coverage control, consensus, self-reconfiguration or vehicle-target assignment. One standard approach in this domain is to formulate the problem…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Abbasali Koochakzadeh , Yasin Yazıcıoğlu

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

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

Dynamical Systems · Mathematics 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We consider a dynamic server control problem for two parallel queues with randomly varying connectivity and server switchover time between the queues. At each time slot the server decides either to stay with the current queue or switch to…

Optimization and Control · Mathematics 2010-08-16 Guner D. Celik , Long B. Le , Eytan Modiano

The back-pressure algorithm is a well-known throughput-optimal algorithm. However, its delay performance may be quite poor even when the traffic load is not close to network capacity due to the following two reasons. First, each node has to…

Networking and Internet Architecture · Computer Science 2010-05-31 Loc Bui , R. Srikant , Alexander Stolyar

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

We develop new routing algorithms for a quantum network with noisy quantum devices such that each can store a small number of qubits. We thereby consider two models for the operation of such a network. The first is a continuous model, in…

Quantum Physics · Physics 2019-07-29 Kaushik Chakraborty , Filip Rozpedek , Axel Dahlberg , Stephanie Wehner

In this work, we study the effects of finite buffers on the throughput and delay of line networks with erasure links. We identify the calculation of performance parameters such as throughput and delay to be equivalent to determining the…

Information Theory · Computer Science 2011-03-09 Badri N. Vellambi , Nima Torabkhani , Faramarz Fekri

We consider a queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

The paper considers a queueing system with limited processor sharing. No more than n jobs may be served simultaneously. This system may be used for modeling bandwidth sharing in wireless communication systems and processes of service in…

Applications · Statistics 2022-02-24 M. S. Alencar , A. G. Tatashev , O. V. Seleznjev , M. V. Yashina

We consider the problem of designing a packet-level congestion control and scheduling policy for datacenter networks. Current datacenter networks primarily inherit the principles that went into the design of Internet, where congestion…

Networking and Internet Architecture · Computer Science 2017-10-10 Devavrat Shah , Qiaomin Xie

Tandem queues with finite buffer capacity commonly exist in practical applications. By viewing a tandem queue as an integrated system, an innovative approach has been developed to analyze its performance through the insight from reduction…

Performance · Computer Science 2016-06-02 Kan Wu , Ning Zhao

In this paper, we use a machine learning approach to predict the stationary distributions of the number of customers in a single-staiton multi server system. We consider two systems, the first is $c$ homogeneous servers, namely the…

Performance · Computer Science 2025-04-03 Eliran Sherzer

In the online packet buffering problem (also known as the unweighted FIFO variant of buffer management), we focus on a single network packet switching device with several input ports and one output port. This device forwards unit-size,…

Data Structures and Algorithms · Computer Science 2012-08-15 Marcin Bienkowski

We consider the problem of managing a bounded size First-In-First-Out (FIFO) queue buffer, where each incoming unit-sized packet requires several rounds of processing before it can be transmitted out. Our objective is to maximize the total…

Networking and Internet Architecture · Computer Science 2012-04-25 Kirill Kogan , Alejandro López-Ortiz , Sergey I. Nikolenko , Alexander V. Sirotkin , Denis Tugaryov

We consider an automatic overload control for two large service systems modeled as multi-server queues, such as call centers. We assume that the two systems are designed to operate independently, but want to help each other respond to…

Probability · Mathematics 2014-07-30 Ohad Perry , Ward Whitt

A classical result for the steady-state queue-length distribution of single-class queueing systems is the following: the distribution of the queue length just before an arrival epoch equals the distribution of the queue length just after a…

Probability · Mathematics 2017-05-02 Marko Boon , Onno Boxma , Offer Kella , Masakiyo Miyazawa

We study the problem of assigning $K$ identical servers to a set of $N$ parallel queues in a time-slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server can serve at most one queue…

Optimization and Control · Mathematics 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Yannis Viniotis , Chung-Horng Lung
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