A queueing system with Markov arrival process, several customer types, generalized foreground-background processor sharing discipline with minimal served length, and an infinite buffer for all types of customers is studied. The joint stationary distribution of the number of customers of all types and the stationary distribution of time of sojourn of customers of every type are determined in terms of generating functions and Laplace-Stieltjes transforms.

A MAPK/Gk/1/inf Queueing System with Generalized Foreground-Background Processor Sharing Discipline

D'APICE, Ciro;
2004-01-01

Abstract

A queueing system with Markov arrival process, several customer types, generalized foreground-background processor sharing discipline with minimal served length, and an infinite buffer for all types of customers is studied. The joint stationary distribution of the number of customers of all types and the stationary distribution of time of sojourn of customers of every type are determined in terms of generating functions and Laplace-Stieltjes transforms.
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/11386/1212045
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact