Superposition of renewal processes and an application to multi-server queues
type: Item
instance of: scholarly article
title: Superposition of renewal processes and an application to multi-server queues
zbMATH Open document ID: 1122.60074
author: Offer Kella
author: Wolfgang Stadje
published in: Statistics \& Probability Letters
publication date: 2006-11-15T00:00:00Z
review text: The vector-valued forward recurrence time process of a superposition of independent renewal processes at arrival epochs of the superposed (marked point) process is studied. Stationary distribution and a SLLN are deduced for the process. As an application, the departure process of a multi-server queue without idleness is considered. As a specific case, the identical servers with Erlang service time distribution are considered in detail.
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 5072679
zbMATH Keywords: renewal processes
zbMATH Keywords: superposition
zbMATH Keywords: forward recurrence times
zbMATH Keywords: joint distribution
zbMATH Keywords: multi-server queue
reviewed by: Evsei Morozov
MaRDI profile type: Publication
full work available at URL: j.spl.2006.04.041
OpenAlex ID: W2052612323
cites work: Delays for Customers from Different Arrival Streams to a Queue
cites work: Superposed continuous renewal processes: A Markov renewal approach
cites work: Application of the superposition of renewal processes to the study of batch arrival queues
cites work: Stochastic limit laws for schedule makespans
cites work: ON THE SUPERPOSITION OF RENEWAL PROCESSES
cites work: Joint simulation of backward and forward recurrence times in a superposition of independent renewal processes
cites work: Superposition of Markov renewal processes and applications
cites work: Superposition of renewal processes
cites work: Q4943608
DOI: 10.1016/J.SPL.2006.04.041
description: scientific article; zbMATH DE number 5072679