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相关论文: Multiserver queueing systems with retrials and los…

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We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment enters a prespecified subset of its state space the service…

概率论 · 数学 2013-12-03 Ruslan Krenzler , Hans Daduna

We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

计算机科学与博弈论 · 计算机科学 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

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…

性能 · 计算机科学 2017-07-24 Quan-Lin Li , Jing-Yu Ma , Mingzhou Xie , Li Xia

Several systems possess the flexibility to serve requests in more than one way. For instance, a distributed storage system storing multiple replicas of the data can serve a request from any of the multiple servers that store the requested…

网络与互联网体系结构 · 计算机科学 2013-11-13 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran

When decomposing the total orbit into $N$ sub-orbits (or simply orbits) related to each of $N$ servers and through comparing the numbers of customers in these orbits, we introduce a retrial supermarket model of $N$ identical servers, where…

网络与互联网体系结构 · 计算机科学 2015-03-19 Quan-Lin Li , Meng Wang , John C. S. Lui , Yang Wang

Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d. positive random variables $\{\mu_k\}$, we consider a queue with renewal arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$, under two work…

概率论 · 数学 2008-08-22 Rami Atar

This paper examines a single-server queueing system that serves both scheduled and strategic walk-in customers. The service discipline follows a first-come, first-served policy, with scheduled customers granted non-preemptive priority. Each…

概率论 · 数学 2025-02-28 Wathsala Karunarathne , Camiel Koopmans , Jiesen Wang

In this paper we consider a single-server, cyclic polling system with switch-over times and Poisson arrivals. The service disciplines that are discussed, are exhaustive and gated service. The novel contribution of the present paper is that…

概率论 · 数学 2014-08-04 Marko Boon

In this paper, equilibrium strategies and optimal balking strategies of customers in a constant retrial queue with multiple vacations and the $N$-policy under two information levels, respectively, are investigated. We assume that there is…

概率论 · 数学 2020-05-04 Zhen Wang , Liwei Liu , Yiqiang Q. Zhao

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

Queues with setup time are extensively studied because they have application in performance evaluation of power-saving data centers. In a data center, there are a huge number of servers which consume a large amount of energy. In the current…

性能 · 计算机科学 2015-12-15 Tuan Phung-Duc

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…

应用统计 · 统计学 2022-02-24 M. S. Alencar , A. G. Tatashev , O. V. Seleznjev , M. V. Yashina

In many-server systems it is crucial to staff the right number of servers so that targeted service levels are met. These staffing problems typically lead to constraint satisfaction problems that are hard to solve. During the last decade, a…

概率论 · 数学 2014-01-30 A. J. E. M. Janssen , Johan S. H. van Leeuwaarden

We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

概率论 · 数学 2018-08-23 Refael Hassin , Liron Ravner

An overview of the recursive equations based models and their applications in simulation based analysis and optimization of queueing systems is given. These models provide a variety of systems with a convenient and unified representation in…

数值分析 · 数学 2012-10-31 Nikolai K. Krivulin

The presented study elaborates a multi-server priority queueing model considering the pre-emptive repeat policy and phase-type distribution (PH) for retrial process. The incoming heterogeneous calls are categorized as handoff calls and new…

最优化与控制 · 数学 2021-08-03 Raina Raj , Vidyottama Jain

We consider a GI/G/c/K-type retrial queueing system with constant retrial rate. The system consists of a primary queue and an orbit queue. The primary queue has $c$ identical servers and can accommodate the maximal number of $K$ jobs. If a…

网络与互联网体系结构 · 计算机科学 2010-07-26 Konstantin Avrachenkov , Evsey Morozov

Motivated by applications such as urban traffic control and make-to-order systems, we study a fluid model of a single-server, on-off system that can accommodate multiple queues. The server visits each queue in order: when a queue is served,…

计算机科学与博弈论 · 计算机科学 2025-04-01 Yanwei Sun , Zhe Liu , Chiwei Yan

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function quite easy interpretation, it may serve as a clue to…

概率论 · 数学 2021-09-23 Manuel Alberto M. Ferreira

Single-server queues with customer abandonment arise in call centers and many service systems, but steady-state performance measures remain analytically intractable beyond Markovian assumptions. This paper develops Robust Queueing (RQ)…

概率论 · 数学 2026-03-03 Wei You