CFP last date
22 April 2024
Call for Paper
May Edition
IJCA solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 22 April 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

Analysis of MX/M/1/MWV/BD Queuing Systems

by K. Julia Rose Mary, J. Maria Remona, R. Rajalakshmi
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 141 - Number 7
Year of Publication: 2016
Authors: K. Julia Rose Mary, J. Maria Remona, R. Rajalakshmi
10.5120/ijca2016909589

K. Julia Rose Mary, J. Maria Remona, R. Rajalakshmi . Analysis of MX/M/1/MWV/BD Queuing Systems. International Journal of Computer Applications. 141, 7 ( May 2016), 1-4. DOI=10.5120/ijca2016909589

@article{ 10.5120/ijca2016909589,
author = { K. Julia Rose Mary, J. Maria Remona, R. Rajalakshmi },
title = { Analysis of MX/M/1/MWV/BD Queuing Systems },
journal = { International Journal of Computer Applications },
issue_date = { May 2016 },
volume = { 141 },
number = { 7 },
month = { May },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume141/number7/24793-2016909589/ },
doi = { 10.5120/ijca2016909589 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:42:47.567693+05:30
%A K. Julia Rose Mary
%A J. Maria Remona
%A R. Rajalakshmi
%T Analysis of MX/M/1/MWV/BD Queuing Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 141
%N 7
%P 1-4
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the batch arrival MX/M/1 queuing system along with server breakdowns and multiple working vacations is analyzed under exponential distribution. For this model Stochastic Decomposition is obtained and particular cases are evaluated. Further numerical illustration is also given to justify the validity of the model.

References
  1. Afthab Begum, M.I. (1996). “Queuing models with bulk service with vacation”, Ph.D., thesis awarded by Bharathiar University, Coimbatore.
  2. Choudhry, M.L. and Templeton, J.G.C. (1983), “A first course in bulk queuing”, John Wiley, New York.
  3. Gaver, D.P. (1959), “Imbedded Markov chain analysis of a waiting line process in continuous time”, Annals of Mathematical Statistics, Vol 30, pp:698-720.
  4. Gross, D. and Harris, C.M. (1985), “Fundamentals of Queuing Theory”, John Wiley, New York, (Second Edition).
  5. Julia Rose Mary, k. and Afthab Begum, M.I. (2010), “Analysis of MX/M/1/WV queuing system”, ACTACIENCIAINDICA INDICA, Vol XXXVI, no.3, pp:429-439.
  6. Ke, J.C. (2003), “Optimal strategy policy in batch arrival queue with server breakdowns and multiple vacations”, Math. Meth. Of Oper. Reser., Vol 58, pp:41-56.
  7. Lee, H.W., Lee, S.S., Park, J.O. and Chae, K.C. (1994), “Analysis od MX/G/1 queue with N-policy and multiple vacations”, J. Appl. Prob., Vol 31, pp:467-496.
  8. Li, J. and Tian, N. (2007), “The M/M/1 queue with working vacations and vacation interruptions”, J. Syst. Sci. Syst. Engin., Vol 16, pp:121-127.
  9. Liu, W., Xu, X. and Tian, N. (2007), “Stochastic decomposition in the M/M/1 queue with working vacations”, Oper. Res. Letters, Vol 35, pp:595-600.
  10. Medhi, J. (1984), “Recent developments in bulk and queuing models”, John Wiley Eastern Limited, New Delhi.
  11. Medhi, J. (2006), “Stochastic Process in Queuing Theory”, Wiley Eastern Limited.
  12. Saaty, T. (1961), “Elements of queuing theory with applications”, Mc Graw Hill, New York.
  13. Servi, L.D. and Finn, S.G. (2002), “M/M/1 queues with working vacations (M/M/1/MV)”, Performance Evaluation, Vol 50, pp:41-52.
  14. Wang, K.H. and Huang, H.M. (1995), “Optimal control of an M/EK/1 queuing system with removable service station”, journal of Operation Research Society, Vol 46, pp:1014-1022.
  15. Xu, X. and Zhang, Z. (2008), “Analysis for the M/M/1 queue with multiple working vacations and N-policy”, Information and management services. Vol 19(3), pp:495-506.
  16. Xu, X., Liu, M. and Zhao, X. (2009), “The bulk input MX/M/1 queue with working vacations”, J. Syst. Sci. Syst Eng., Vol 18(3), pp:358-368.
  17. Yadin, M. and Naor, P. (1963), “Queuing system with removable service station”, Oper. Res. Q., Vol 14, pp:393-405.
Index Terms

Computer Science
Information Sciences

Keywords

Batch Arrival Multiple Working Vacations Breakdowns Probability Generating Function(PGF) Stochastic Decomposition.

Powered by PhDFocusTM