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相关论文: A discrete-time Markov modulated queuing system wi…

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Discrete-time queueing models find huge applications as they are used in modeling queueing systems arising in digital platforms like telecommunication systems, computer networks, etc. In this paper, we analyze an infinite-buffer queueing…

概率论 · 数学 2023-01-13 U. C. Gupta , Nitin Kumar , S. Pradhan , F. P. Barbhuiya

We study a discrete time queueing system where deterministic arrivals have i.i.d. exponential delays $\xi_{i}$. The standard deviation $\sigma$ of the delay is finite, but its value is much larger than the deterministic unit service time.…

概率论 · 数学 2017-01-02 Carlo Lancia , Gianluca Guadagni , Sokol Ndreca , Benedetto Scoppola

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

This paper considers the mean waiting times in discrete-time preemptive-resume and nonpreemptive priority single-server queues fed by K independent batch Markovian arrival streams with geometrically distributed idle periods. While being…

概率论 · 数学 2026-04-28 Tetsuya Takine

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

In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process.…

概率论 · 数学 2015-04-07 Jinbiao Wu , Yi Peng , Zaiming Liu

This paper focuses on an infinite-server queue modulated by an independently evolving finite-state Markovian background process, with transition rate matrix $Q\equiv(q_{ij})_{i,j=1}^d$. Both arrival rates and service rates are depending on…

概率论 · 数学 2015-06-17 Joke Blom , Koen De Turck , Michel Mandjes

The paper studies closed queueing networks containing a server station and $k$ client stations. The server station is an infinite server queueing system, and client stations are single-server queueing systems with autonomous service, i.e.…

概率论 · 数学 2008-01-24 Vyacheslav M. Abramov

We investigate the transient and stationary queue-length distributions of a class of service systems with correlated service times. The classical $M^X/G/1$ queue with semi-Markov service times is the most prominent example in this class and…

概率论 · 数学 2018-01-19 Abhishek , Marko Boon , Onno Boxma , Rudesindo Núñez-Queija

Discrete-time queueing system has widespread applications in packet switching networks, internet protocol, Broadband Integrated Services Digital Network (B-ISDN), circuit switched time-division multiple access etc. In this paper, we analyze…

概率论 · 数学 2020-07-20 S Pradhan , N Nandy

Motivated by queueing systems with heterogeneous parallel servers, we consider a class of structured multi-dimensional Markov processes whose state space can be partitioned into two parts: a finite set of boundary states and a structured…

概率论 · 数学 2015-10-02 Jori Selen , Ivo J. B. F. Adan , Johan S. H. van Leeuwaarden

We consider the problem of service rate control of a single server queueing system with a finite-state Markov-modulated Poisson arrival process. We show that the optimal service rate is non-decreasing in the number of customers in the…

最优化与控制 · 数学 2013-07-11 Ravi Kumar , Mark E. Lewis , Huseyin Topaloglu

A discrete-time batch service queue with batch renewal input and random serving capacity rule under the late arrival delayed access system (LAS-DA), has recently appeared in the literature [2]. In this paper, we consider the same model…

概率论 · 数学 2019-04-24 U. C. Gupta , F. P. Barbhuiya , Arunava Maity

We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After…

概率论 · 数学 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

The growth of Machine-Type Communication (MTC) increases the relevance of queuing scenarios with deterministic service times. In this letter, we present a model for queues without waiting lines and with degenerate service time distributions…

网络与互联网体系结构 · 计算机科学 2020-09-10 René Brandborg Sørensen , Jimmy Jessen Nielsen , Petar Popovski

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

信息论 · 计算机科学 2018-09-11 Nikolaos Pappas

A "scheduled" arrival process is one in which the n th arrival is scheduled for time n, but instead occurs at a different time. The difference between the scheduled time and the arrival time is called the perturbation. The sequence of…

概率论 · 数学 2021-02-16 V. F. Araman , H. Chen , P. W. Glynn , L. Xia

Queueing systems with a single server in which customers wait to be served at a finite number of distinct locations (buffers/queues) are called discrete polling systems. Polling systems in which arrivals of users occur anywhere in a…

性能 · 计算机科学 2013-09-09 Veeraruna Kavitha , Richard Combes

This paper considers a work-conserving FIFO single-server queue with multiple batch Markovian arrival streams governed by a continuous-time finite-state Markov chain. A particular feature of this queue is that service time distributions of…

概率论 · 数学 2014-12-30 Hiroyuki Masuyama , Tetsuya Takine

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

最优化与控制 · 数学 2025-09-09 Dongnuan Tian , Rob Shone
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