On Bayesian estimation for an M/G/1 queue with optional second service
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this article, we exploit the Bayesian inference and prediction for an M/G/1 queueing system with optional second reservice. In this model, a service unit attends customers arriving following a Poisson process and demanding service according to a general distribution and some of customers need to reservice with probability "p" after taking the service. First, we approximate the service and reservice time densities with a class of Erlang mixture distributions. Then, given observations of the system, we propose a Bayesian procedure based on birth-death MCMC method to estimate some performance measures. Finally, we have applied the theories in practice by providing a numerical example based on the data which have been obtained from a hospital.
Açıklama
Anahtar Kelimeler
M/G/1 queue, Optional service, Erlang mixture, Birth-death MCMC
Kaynak
International Conference on Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mohammadi, A. R., Salehi-Rad, M. R. ve Abassi, A. (2009). On Bayesian estimation for an M/G/1 queue with optional second service. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 49-50.
