Transient analysis of a single server queue with catastrophes, failures and repairs

A transient solution is obtained analytically using continued fractions for the system size in an M/M/1 queueing system with catastrophes, server failures and non-zero repair time. The steady state probability of the system size is present. Some key performance measures, namely, throughput, loss pro...

Full description

Saved in:
Bibliographic Details
Published inQueueing systems Vol. 56; no. 3-4; pp. 133 - 141
Main Authors Krishna Kumar, B., Krishnamoorthy, A., Pavai Madheswari, S., Sadiq Basha, S.
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.08.2007
Subjects
Communication
Customer services
Failure
Investigations
Mathematics
Probability
Queuing
Random variables
Servers
Service stations
Studies
Online AccessGet full text
ISSN0257-0130
1572-9443
DOI10.1007/s11134-007-9014-0

Cover

More Information
Summary:A transient solution is obtained analytically using continued fractions for the system size in an M/M/1 queueing system with catastrophes, server failures and non-zero repair time. The steady state probability of the system size is present. Some key performance measures, namely, throughput, loss probability and response time for the system under consideration are investigated. Further, reliability and availability of the system are analysed. Finally, numerical illustrations are used to discuss the system performance measures. [PUBLICATION ABSTRACT]
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0257-0130
1572-9443
DOI:10.1007/s11134-007-9014-0