Open AccessAnalysis of dynamic service system between regular and retrial queues with impatient customers
Author(s) -
B. Krishna Kumar,
R. Navaneetha Krishnan,
R. Sankar,
R. Rukmani
Publication year - 2022
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2020153
Subject(s) - retrial queue , computer science , queue , service (business) , stability (learning theory) , state (computer science) , expression (computer science) , joint probability distribution , queueing system , computer network , mathematical optimization , distributed computing , operations research , algorithm , mathematics , statistics , economy , machine learning , economics , programming language
In this article, we propose a dynamic operating of a single server service system between conventional and retrial queues with impatient customers. Necessary and sufficient conditions for the stability, and an explicit expression for the joint steady-state probability distribution are obtained. We have derived some interesting and important performance measures for the service system under consideration. The first-passage time problems are also investigated. Finally, we have presented extensive numerical examples to demonstrate the effects of the system parameters on the performance measures.