Markovian phase-type single working vacation queue with breakdown and standby server

Autor: K. Baby Saroja, V. Suvitha
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics in Applied Sciences and Engineering, Vol 5, Iss 3, Pp 185-198 (2024)
Druh dokumentu: article
ISSN: 2563-1926
DOI: 10.5206/mase/17434
Popis: We consider a single server queuing model with three service types, each with three phases. In which the customers arrive according to a Poisson process and the service time of each customer follows Hyper-Erlang distribution. We analyzed the model with interruptions, such as breakdown, repair and single working vacation. The standby server works whenever the main server under breakdown. Using the matrix geometric method, the steady-state probability vector of the model is examined and finally, some numerical examples are presented.
Databáze: Directory of Open Access Journals