Title
Sojourn Time Analysis for Processor Sharing Loss System with Unreliable Server.
Abstract
Processor sharing (PS) queuing systems and particularly their well-known class of egalitarian processor (EPS) sharing are widely investigated by research community and applied for the analysis of wire and wireless communication systems and networks. The same can be said for queuing systems in random environment, with unreliable servers, interruptions, pre-emption mechanisms. Nevertheless, only few works focus on queues with both PS discipline and unreliable servers. In the paper, compared with the previous results we analyse a finite capacity PS queuing system with unreliable server and an upper limit of the number of customers it serves simultaneously. For calculating the mean sojourn time, unlike a popular but computational complex technique of inverse Laplace transform we use an effective method based on embedded Markov chains. The paper also includes a practical numerical example of web browsing in a wireless network when the corresponding low priority traffic can be interrupted by more priority applications.
Year
DOI
Venue
2016
10.1007/978-3-319-43904-4_20
Analytical and Stochastic Modelling Techniques and Applications
Keywords
Field
DocType
Queuing system,Processor sharing,Egalitarian processor sharing,Unreliable server,Interruption,Probability distribution,Recursive algorithm,Mean sojourn time,Embedded Markov chain,Web browsing
Mean sojourn time,Wireless network,Computer science,Server,Queue,Markov chain,Processor sharing,Real-time computing,Queueing theory,Queue management system,Distributed computing
Conference
Volume
ISSN
Citations 
9845
0302-9743
0
PageRank 
References 
Authors
0.34
10
5
Name
Order
Citations
PageRank
Konstantin Samouylov13915.31
Valery Naumov200.34
Eduard Sopin3146.55
Irina Gudkova46912.82
Sergey Shorgin51912.04