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We develop many-server asymptotics in the QED regime for models with admission control. The admission control, designed to reduce the incoming traffic in periods of congestion, scales with the size of the system. For a class of Markovian…

概率论 · 数学 2013-07-05 A. J. E. M. Janssen , J. S. H. van Leeuwaarden , Jaron Sanders

This paper studies a scheduling control problem for a single-server multiclass queueing network in heavy traffic, operating in a changing environment. The changing environment is modeled as a finite state Markov process that modulates the…

概率论 · 数学 2012-11-30 Amarjit Budhiraja , Arka Ghosh , Xin Liu

The non-stationary Erlang-A queue is a fundamental queueing model that is used to describe the dynamic behavior of large scale multi-server service systems that may experience customer abandonments, such as call centers, hospitals, and…

概率论 · 数学 2026-01-14 Andrew Daw , Jamol Pender

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

概率论 · 数学 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

Recent model-based congestion control algorithms such as BBR use repeated measurements at the endpoint to build a model of the network connection and use it to achieve optimal throughput with low queuing delay. Conversely, applying this…

网络与互联网体系结构 · 计算机科学 2020-02-12 Maximilian Bachl , Joachim Fabini , Tanja Zseby

The model is a "generalized switch", serving multiple traffic flows in discrete time. The switch uses MaxWeight algorithm to make a service decision (scheduling choice) at each time step, which determines the probability distribution of the…

概率论 · 数学 2015-02-13 Rahul Singh , Alexander Stolyar

We study how queue-state information disclosures affect impatient tenants in multi-tenant edge systems. We propose an information-bulletin strategy in which each queue periodically broadcasts two Markov models. One is a model of…

系统与控制 · 电气工程与系统科学 2025-10-15 Anthony Kiggundu , Bin Han , Hans D. Schotten

We investigate congestion-aware control of quantum repeater nodes operating under stochastic traffic and finite memory coherence. Entanglement generation is modeled as a probabilistic process producing Werner states subject to depolarizing…

量子物理 · 物理学 2026-03-27 Nicolò Lo Piparo , William J. Munro , Kae Nemoto

We address the problem of giving robust performance bounds based on the study of the asymptotic behavior of the insensitive load balancing schemes when the number of servers and the load scales jointly. These schemes have the desirable…

性能 · 计算机科学 2016-05-11 Matthieu Jonckheere , Balakrishna Prabhu

We consider a single server queueing system with admission control and the possibility to switch dynamically between a low and a high service rate, and examine the benefit of this service rate flexibility. We formulate a discounted Markov…

最优化与控制 · 数学 2015-12-08 Yiannis Dimitrakopoulos , Apostolos Burnetas

In order to cope with the explosive growth of data traffic which is associated with a wide plethora of emerging applications and services that are expected to be used by both ordinary users and vertical industries, the congestion control…

网络与互联网体系结构 · 计算机科学 2021-11-30 Meysam Nasimi , Mohammad Asif Habibi , Bin Han , Hans D. Schotten

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…

系统与控制 · 电气工程与系统科学 2026-02-17 Shuangning Li , Ramesh Johari , Xu Kuang , Stefan Wager

In this paper we present a queueing network approach to the problem of routing and rebalancing a fleet of self-driving vehicles providing on-demand mobility within a capacitated road network. We refer to such systems as autonomous…

系统与控制 · 计算机科学 2017-03-28 Ramon Iglesias , Federico Rossi , Rick Zhang , Marco Pavone

Demand for studying queueing systems with multiple servers providing correlated services was created about 60 years ago, motivated by various applications. In recent years, the importance of such studies has been significantly increased,…

概率论 · 数学 2026-04-16 Suman Thapa , Yiqiang Q. Zhao

Motivated by applications of the Erlang-B blocking model and the extended $M/M/k/k+N$ model that allows for some queueing, beyond communication networks to sizing and pricing in production, messaging, and app-based parking systems, we study…

系统与控制 · 电气工程与系统科学 2025-11-25 Saghar Adler , Mehrdad Moharrami , Vijay Subramanian

In this paper one presents method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically one considers inhomogeneous $M/M/S$ queueing system with…

We study a multiclass M/M/1 queueing control problem with finite buffers under heavy-traffic where the decision maker is uncertain about the rates of arrivals and service of the system and by scheduling and admission/rejection decisions…

概率论 · 数学 2019-03-19 Asaf Cohen

In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are served one by one according to any conservative discipline. The…

概率论 · 数学 2020-12-01 A. Zeifman , R. Razumchik , Y. Satin , I. Kovalev

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

概率论 · 数学 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

Congestion is said to occur in the network when the resource demands exceed the capacity and packets are lost due to too much queuing in the network. During congestion, the network throughput may drop to zero and the path delay may become…

网络与互联网体系结构 · 计算机科学 2007-05-23 R. Jain , K. Ramakrishnan
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