Non-stationary departure process in a batch-arrival queue with finite buffer capacity and threshold-type control mechanism

Title:

Non-stationary departure process in a batch-arrival queue with finite buffer capacity and threshold-type control mechanism

Creator:

Kempa, Wojciech M. and Kurzyk, Dariusz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:538fcf15-fd46-4d6f-963d-c735d6ac47e1
uuid:538fcf15-fd46-4d6f-963d-c735d6ac47e1
doi:10.14736/kyb-2022-1-0082

Subject:

transient state, departure process, finite-buffer queue, N-policy, power saving, and wireless sensor network (WSN)

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Non-stationary behavior of departure process in a finite-buffer MX/G/1/K-type queueing model with batch arrivals, in which a threshold-type waking up N-policy is implemented, is studied. According to this policy, after each idle time a new busy period is being started with the Nth message occurrence, where the threshold value N is fixed. Using the analytical approach based on the idea of an embedded Markov chain, integral equations, continuous total probability law, renewal theory and linear algebra, a compact-form representation for the mixed double transform (probability generating function of the Laplace transform) of the probability distribution of the number of messages completely served up to fixed time t is obtained. The considered queueing system has potential applications in modeling nodes of wireless sensor networks (WSNs) with battery saving mechanism based on threshold-type waking up of the radio. An illustrating simulational and numerical study is attached.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

82-100

Source:

Kybernetika | 2022 Volume:58 | Number:1

Harvested from:

CDK

Metadata only:

false