Transient Behavior of a Queueing Model with Hyper-Exponentially Distributed Processing Times and Finite Buffer Capacity

Autor:	Wojciech M. Kempa, Iwona Paprocka
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	finite capacity hyper-exponential distribution queue-size distribution transient analysis end-of-line product digital twin Chemical technology TP1-1185
Zdroj:	Sensors, Vol 22, Iss 24, p 9909 (2022)
Druh dokumentu:	article
ISSN:	1424-8220
DOI:	10.3390/s22249909
Popis:	In the paper, a finite-capacity queueing model is considered in which jobs arrive according to a Poisson process and are being served according to hyper-exponential service times. A system of equations for the time-sensitive queue-size distribution is established by applying the paradigm of embedded Markov chain and total probability law. The solution of the corresponding system written for Laplace transforms is obtained via an algebraic approach in a compact form. Numerical illustration results are attached as well.
Databáze:	Directory of Open Access Journals
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