Results 101 to 110 of about 1,352 (222)

Spectral gap of the Erlang A model in the Halfin-Whitt regime

Stochastic Systems, 2012
We consider a hybrid diffusion process that is a combination of two Ornstein-Uhlenbeck processes with different restraining forces. This process serves as the heavy-traffic approximation to the Markovian many-server queue with abandonments in the ...
Johan S.H. van Leeuwaarden, Charles Knessl   +1 more
doaj  

Generalized master equation for stochastic gene expression with non-Markovian degradation

Physical Review Research
mRNAs and proteins are believed to degrade in non-Markovian fashions, challenging the common assumption of exponential mRNA and protein lifetimes. Here, we use the queue theory to derive a generalized master equation for a three-stage model of gene ...
Changhong Shi, Xiyan Yang, Tianshou Zhou, Jiajun Zhang   +3 more
doaj   +1 more source

Inter-Departure Time Correlations in PH/G/1 Queues

Mathematics
In non-Markovian tandem queueing networks the output process of one site, which is the input process to the next site, is not renewal. Consequently, the correlation analysis of that output processes is essential when studying such networks. A correlation
Ruth Sagron, Uri Yechiali
doaj   +1 more source

SOJOURN TIME DISTRIBUTIONS IN A MARKOVIAN G-QUEUE WITH BATCH ARRIVAL AND BATCH REMOVAL

, 1999
We consider a single server Markovian queue with two types of customers; positive and negative, where positive customers arrive in batches and arri-vals of negative customers remove positive customers in batches.
Yang Woo Shin
core  

An ODE for an overloaded X model involving a stochastic averaging principle

Stochastic Systems, 2011
We study an ordinary differential equation (ODE) arising as the many-server heavy-traffic fluid limit of a sequence of overloaded Markovian queueing models with two customer classes and two service pools.
Ward Whitt, Ohad Perry
doaj  

Analysis of a Crowdsourcing Markovian Queue with Phase-Type and Imperfect Service, Working Vacations, Breakdown, and Repair

Mathematics
Analysis of a crowdsourcing Markovian queue with phase-type service is considered in this paper. In this model, a customer not only receives service but also assists in delivery. In other words, in a retail environment, while some customers shop in-store,
N. Arulmozhi, Aliakbar Montazer Haghighi, G. Ayyappan, G. Archana @ Gurulakshmi   +3 more
doaj   +1 more source

Impatient Customers in an Markovian Queue with Bernoulli Schedule Working Vacation Interruption and Setup Time

, 2020
In this paper, using probability generating function method, Impatient customers in an Markovian queue with Bernoulli schedule working vacation interruption and setup time is discussed. Customers impatience is due to the servers vacation.
Manoharan, P., Jeeva, T.
core  

On the sojourn time distribution in a finite population Markovian processor sharing queue

, 2017
We consider a finite population processor sharing (PS) queue, with Markovian arrivals and an exponential server. Such a queue can model an interactive computer system consisting of a bank of terminals in series with a central processing unit. For systems
Knessl, C, Zhen, Q., Zhen, Qiang, Leeuwaarden, JSH Johan van, van Leeuwaarden, J.S.H., Knessl, C., Knessl, Charles, Van Leeuwaarden, Johan S.H.   +7 more
core   +1 more source

Leveraging Priority Queueing in IoT-Edge-Fog-Cloud Infrastructures for Efficient Healthcare Monitoring

IEEE Access
The rapid growth of the Internet of Healthcare Things (IoHT) has led to challenges in real-time processing, prioritization, and resource allocation of heterogeneous healthcare data.
Dang Van Anh, Van-Hau Nguyen
doaj   +1 more source

A Multi-Server Queue With Markovian Flow Of Negative Customers

, 2005
A multi-server queue with finite buffer is considered. The input flow is the BMAP (Batch Markovian Arrival Process). The service time has PH (phase-type) distribution.
Orlovsky, D., Klimenok, V., Kuznetsov, A.   +2 more
core