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

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Two Homogeneous Servers Limited Capacity Markovian Queuing System Subjected to Varying Catastrophic Intensity

by N. K. Jain, Gulab Singh Bura
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Number 2
Year of Publication: 2012
Authors: N. K. Jain, Gulab Singh Bura
10.5120/7603-0508

N. K. Jain, Gulab Singh Bura . Two Homogeneous Servers Limited Capacity Markovian Queuing System Subjected to Varying Catastrophic Intensity. International Journal of Computer Applications. 49, 2 ( July 2012), 31-41. DOI=10.5120/7603-0508

@article{ 10.5120/7603-0508,
author = { N. K. Jain, Gulab Singh Bura },
title = { Two Homogeneous Servers Limited Capacity Markovian Queuing System Subjected to Varying Catastrophic Intensity },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 49 },
number = { 2 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 31-41 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume49/number2/7603-0508/ },
doi = { 10.5120/7603-0508 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:45:17.669356+05:30
%A N. K. Jain
%A Gulab Singh Bura
%T Two Homogeneous Servers Limited Capacity Markovian Queuing System Subjected to Varying Catastrophic Intensity
%J International Journal of Computer Applications
%@ 0975-8887
%V 49
%N 2
%P 31-41
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present paper, we analyze the effect of varying catastrophic intensity on a limited capacity Markovian queueing system with two identical servers. The time dependent probabilities for the number in the system are obtained. The steady state probabilities and various measures of performance are also provided. Further some important particulars cases are also derived and discussed.

References
  1. Bartoszynski, R. Buhler, W. J. , Chan, W. , and Pearl, D. K. (1989), Population processes under the influence of disasters occurring independently of population size, J. Math. Bio. Vol, 27, 179-190. [2 ] Brockwell, P. J. , Gani, J. M. and Resnick, S. I. (1982), Birth immigration and catastrophe processes, Adv. Applied Probability,Vol. 14, 709-731.
  2. Brockwell, P. J. (1985), The extinction time of a birth, death and catastrophe process and of a related diffusion model, Advances in Applied Probability,Vol. 17, 42-52.
  3. Chao, X. (1995), A queueing network model with catastrophes and product form solution, Operations Research Letters, Vol. 18, 75-79.
  4. Chao, X. and Zheng, Y. (2003), Transient analysis of immigration birth- death processes with total catastrophes, Prob. Enggn. and Inform. Sciences, Vol. 17, 83-106.
  5. Crescenzo, A. Di, Giorno, V. , Nobile, A. G. and Ricciardi, L. M. (2003), On the M/M/1 queue with catastrophes and its continuous approximation, Queueing Systems,Vol. 43, 329-347.
  6. Jain, N. K. and Kanethia, D. K. (2006), Transient analysis of a queue with environmental and Catastrophic effects, International Journal of Information and Management Sciences, Vol. 17, No. 1. 35-45.
  7. Jain, N. K. and Kumar Rakesh, (2007), Transient solution of a catastrophic-cum- restorative queuing problem with correlated arrivals and variable service capacity, Int. J. of Inform. And Manag. Sci. , Taiwan, Vol. 18, 461-465.
  8. Jain, N. K. and Bura Gulab Singh, (2010), A queue with varying catastrophic intensity, International journal of computational and applied mathematics, Vol. 5, 41-46.
  9. Kitamura, K. , Tokunaga, M. , Hikkikoshi, I. A. and Yanagida, T. (1999), A single myosin head move along an actin filament with regular steps of 5. 3 nanometers, Nature, Vol. 397, 129-134.
  10. Kumar, B. K. and Arivudainambi, D. (2000), Transient solution of an M/M/1 queue with catastrophes, Comp. and Mathematics with Applications, Vol. 40, 1233-1240.
  11. Kumar, B. K. and Madheswari, Pavai S. , (2002), Transient behavior of the M/M/2 queue with catastrophes, Statistica, Vol. 27, 129-136.
  12. Kumar, B. K. , Madheswari, Pavai S. and Venkatakrishnan, K. S. , (2007), Transient solution of an M/M/2 queue with heterogeneous servers subject to catastrophes, International Journal of Information and Management Sciences, Vol. 18, 63-80.
  13. Kyriakidis, E. G. (1994), Stationary probabilities for a simple immigration-birth- death process under the influence of total catastrophes, Stat. and Prob. Letters, Vol. 20, 239-240.
  14. Kyriakidis, E. G. (2001), The transient probabilities of the simple immigration- catastrophe process, Math. Scientist, Vol. 26, 56--58.
  15. Miyazaki, Y. and Sibata, S. Mori, (1992), Transient behavior of the M/M/2/ /FIFO queue with starting customers, Journal of information and optimization sciences, Vol. 13, 1-27.
  16. Rubinovitch, M. ,(1985), The slow server problem, Journal of applied probability, Vol. 22, 205-213.
  17. Saaty, T. L. (1960), Time dependent solution of the many server Poisson queue, Operations Research, Vol. 8, 755-772.
  18. Singh, V. P. ,(1970), Two servers Markovian queues with balking: Heterogeneous vs. homogeneous servers, Operations Research, Vol. 19, 145-159.
Index Terms

Computer Science
Information Sciences

Keywords

Two homogeneous servers varying catastrophic intensity Laplace transforms Markovian queueing system

Powered by PhDFocusTM