CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair

by J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 73 - Number 11
Year of Publication: 2013
Authors: J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani
10.5120/12785-9902

J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani . Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair. International Journal of Computer Applications. 73, 11 ( July 2013), 13-17. DOI=10.5120/12785-9902

@article{ 10.5120/12785-9902,
author = { J. Ebenesar Anna Bagyam, K. Udaya Chandrika, K. Prakash Rani },
title = { Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair },
journal = { International Journal of Computer Applications },
issue_date = { July 2013 },
volume = { 73 },
number = { 11 },
month = { July },
year = { 2013 },
issn = { 0975-8887 },
pages = { 13-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume73/number11/12785-9902/ },
doi = { 10.5120/12785-9902 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:39:48.976185+05:30
%A J. Ebenesar Anna Bagyam
%A K. Udaya Chandrika
%A K. Prakash Rani
%T Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair
%J International Journal of Computer Applications
%@ 0975-8887
%V 73
%N 11
%P 13-17
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Bulk arrival general service retrial queueing system is analyzed in this paper. Server provides two phases of service-essential and optimal. After each service completion, the server searches for customers in the orbit. Customers may balk or renege at particular times. Accidental and active breakdown of the server is considered. The repair of the failed server starts after a random amount of time known as delay time. After repair the server continues the service of the interrupted customer or waits for the same customer. The necessary and sufficient condition for the system to be stable is presented. By applying supplementary variable technique, the steady state distributions of the server state and the number of customers in the orbit are obtained. Numerical examples are presented to illustrate the influence of the parameters on several performance characteristics

References
  1. Aissani, A. (2010), "An M/G/1 Retrial Queue with Negative Arrivals and Unreliable Server", Proceeding of the World Congress On Engineering, Vol. I, June 30 – July 2, London, UK.
  2. Artalejo, J. R. and Gomez-Corral, A. (2008), "Retrial Queueing Systems – A Computational Approach", Springer Verlag, Berlin.
  3. Artalejo, J. R. (1999), "A classified bibliography of research on retrial queues : Progress in 1990, 1999", Top. , 7, 187-211.
  4. Artalejo, J. R. (1999), "Accessible bibliography on retrial queues", Mathematical and Computer Modelling, 30, 1-6.
  5. Artalejo, J. R. , Joshua, V. C. and Krishnamoorthy, A. (2002), "An M/G/1 retrial queue with orbital search by the server", In Advances in Stochastic Modelling, eds, Artalejo, J. R. and Krishnamoorthy, A. , 41 54, New Jersey : Notable Publications.
  6. Atecia, I. , Bouza,G. and Moreno, P. (2008), "An M[x]/G/1 retrial Queue with server breakdowns and constant rate of repeated attempts", Ann. Oper. Res. , 157: 225-243.
  7. Chakravarthy, S. R. , Krishnamoorthy, A. and Joshua, V. C. (2006), "Analysis of a multiserver retrial queue with search of customers from the orbit", Performance Evaluation, 63, 8, 776 – 798.
  8. Dudin, A. N. , Krishnamoorthy, A. , Joshua, V. C. and Tsarenkov, G. (2004), "Analysis of the BMAP/G/1 retrial system with search of customers from the orbit", European Journal of Operational Research, 157, 169-179.
  9. Ebenesar Annabagyam, J. and Udaya Chandrika, K. (2012), "Two Phase Retrial Queueing System with Impatient Customers, Additional Optional Service, Server Breakdown, Delayed Repair and Reserved Time", International Journal of Mathematical Archive, 3, 2283-2290.
  10. Falin, G. I. and Templeton, J. G. C. (1997), "Retrial Queues", Chapman and Hall, London.
  11. Geni Gupur (2010) , "Analysis of the M/G/1 retrial queueing model with server breakdowns", J. Pseudo-Differ. Oper. Appl. ,1:313–340.
  12. Prakash Rani, K. , Sinivasan, A. and Udaya Chandrika, K. (2009), "Impatient customers Bulk Arrival Retrial Queue with Server Breakdown and Delayed Repair", Advances In Applied Research, 1, 1, 60 – 68.
  13. Prakash Rani, K. , Sinivasan, A. and Udaya Chandrika, K. (2011), "Retrial queue with Server Breakdown and Delayed Repairs", Proceedings of the International Congress on Productivity,Quality Reliability, Optimization and Modelling(ICPQROM 2011), 34-47, ISBN 978-81-842-708-4, Allied Publishers Pvt. Ltd.
  14. Rehab F. Khalaf, Kailash C. Madan and Cormac A. Lukas (2011), " An M[x]/G/1 Queue with Bernoulli Schedule, General Vacation Times, Random Breakdowns, General Delay Times and General Repair Times", Applied Mathematical Sciences, Vol. 5, No. 1 , 25-51.
  15. Udaya Chandrika, K. and Ebenesar Annabagyam, J. (2008), "Two Phase Retrial Queue With impatient customers and Orbital search", Research Highlights, 18, 3, 152 – 157.
  16. Udaya Chandrika, K. and Ebenesar Annabagyam, J. (2011), "Two phase retrial queueing system with active breakdown deayed repair and reserved time", Proceedings of the National Conference on Recent Advancements in Science and Humanities, 54, ISBN: 978-81-920799-1-2.
  17. Wang, J. (2004), "An M/G/1 Queue with Second Optional Service and Server Breakdowns", Computers and Mathematics with Applications, 47: 1713-1723.
  18. Wang, J. and Li H. (1994), "Reliability Analysis of the retrial Queue with server breakdowns and repairs", Queueing Systems, 38, 363-380.
Index Terms

Computer Science
Information Sciences

Keywords

Retrial Queue Server Breakdown Orbital Search Delayed Repair Reserved Time

Powered by PhDFocusTM