Title
Geom/G 1, G 2/1/1 repairable Erlang loss system with catastrophe and second optional service.
Abstract
This paper studies a single server discrete-time Erlang loss system with Bernoulli arrival process and no waiting space.The server in the system is assumed to provide two different types of services,namely essential and optional services,to the customer.During the operation of the system, the arrival of the catastrophe will break the system down and simultaneously induce customer to leave the system immediately.Using a new type discrete supplementary variable technique,the authors obtain some performance characteristics of the queueing system,including the steady-state availability and failure frequency of the system,the steady-state probabilities for the server being idle,busy, breakdown and the loss probability of the system etc.Finally,by the numerical examples,the authors study the influence of the system parameters on several performance measures.
Year
DOI
Venue
2011
10.1007/s11424-011-8339-2
J. Systems Science & Complexity
Keywords
DocType
Volume
repairable queueing system,catastrophe,discrete supplementary variable technique,second optional service,erlang loss system,steady state,type of service,discrete time
Journal
24
Issue
ISSN
Citations 
3
1559-7067
1
PageRank 
References 
Authors
0.37
1
6
Name
Order
Citations
PageRank
Yinghui Tang1425.95
Miaomiao Yu2556.13
yinghui330.81
yu410.37
cailiang510.37
li610.37