A single-server retrial queueing system with ¯nite bu®er and multidimensional Poisson °ow of customers is considered. The probability distribution functions of service times are arbitrary and di®erent for each type of customers. The group of repetead customers is limited. A retrial customer after a successfull attempt begins his service immediately if the bu®er is empty, otherwise goes to wait into the bu®er if there is a free waiting place or is lost if there is none. It is shown that the analysis of such a queueing system with several °ows can be reduced to the analysis of a similar queueing system with only one Poisson °ow.

On a Multiclass Arrival Retrial MK/GK/1/r Queueing System with Finite Buffer

D'APICE, Ciro;MANZO, Rosanna;
2001-01-01

Abstract

A single-server retrial queueing system with ¯nite bu®er and multidimensional Poisson °ow of customers is considered. The probability distribution functions of service times are arbitrary and di®erent for each type of customers. The group of repetead customers is limited. A retrial customer after a successfull attempt begins his service immediately if the bu®er is empty, otherwise goes to wait into the bu®er if there is a free waiting place or is lost if there is none. It is shown that the analysis of such a queueing system with several °ows can be reduced to the analysis of a similar queueing system with only one Poisson °ow.
2001
9780000000002
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1212100
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact