On Bayesian estimation for an M/G/1 queue with optional second service
| dc.contributor.author | Mohammadi, A. R. | |
| dc.contributor.author | Salehi-Rad, M. R. | |
| dc.contributor.author | Abassi, A. | |
| dc.date.accessioned | 2024-07-12T20:52:01Z | |
| dc.date.available | 2024-07-12T20:52:01Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | 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. | en_US |
| dc.identifier.citation | 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. | en_US |
| dc.identifier.endpage | 50 | en_US |
| dc.identifier.isbn | 9.78605E+12 | |
| dc.identifier.startpage | 49 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2513 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference on Mathematical Sciences | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY07897 | |
| dc.subject | M/G/1 queue | en_US |
| dc.subject | Optional service | en_US |
| dc.subject | Erlang mixture | en_US |
| dc.subject | Birth-death MCMC | en_US |
| dc.title | On Bayesian estimation for an M/G/1 queue with optional second service | en_US |
| dc.type | Conference Object | |
| dspace.entity.type | Publication |
