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Retrial Queuing System with Starting Failure, Single Vacation and Orbital Search

by D. Sumitha, K. Udaya Chandrika
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 13
Year of Publication: 2012
Authors: D. Sumitha, K. Udaya Chandrika
10.5120/5042-7367

D. Sumitha, K. Udaya Chandrika . Retrial Queuing System with Starting Failure, Single Vacation and Orbital Search. International Journal of Computer Applications. 40, 13 ( February 2012), 29-33. DOI=10.5120/5042-7367

@article{ 10.5120/5042-7367,
author = { D. Sumitha, K. Udaya Chandrika },
title = { Retrial Queuing System with Starting Failure, Single Vacation and Orbital Search },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 13 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 29-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number13/5042-7367/ },
doi = { 10.5120/5042-7367 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:28:00.296465+05:30
%A D. Sumitha
%A K. Udaya Chandrika
%T Retrial Queuing System with Starting Failure, Single Vacation and Orbital Search
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 13
%P 29-33
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is concerned with the analysis of a single server retrial queue with vacation and orbital search. The server is subject to starting failure and repair. At the completion epoch of each service, the server may take a single vacation. After vacation completion, the server searches for the customers in the orbit or remains idle. Retrial times, service times and vacation times are assumed to be arbitrarily distributed. Various performance measures are derived and numerical results are presented.

References
  1. 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 modeling eds., New Jersey, Notable Publications, 41 – 54.
  2. Baba, Y., 2005. Analysis of a GI/M/1 queue with multiple working vacations. Operations Research Letters, 33(2), 201-209.
  3. Doshi, B.T., 1990. Single-server Queues with Vacations, Stochastic Analysis of Computer and Communications Systems, 217 – 265.
  4. Ke, J. C., 2003. The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns, Computers and Industrial Engineering, 44(4), 567-579.
  5. Ke, J. C. and Chang, F. M., 2009. Mx/G1,G2/1 Retrial Queue with Bernoulli Vacation Schedules with Repeated Attempts and Starting Failures, Applied Mathematical Modeling, 33, 3186-3196.
  6. Krishnakumar, B., Pavai Madheswari, S. and Vijayakumar, A., 2002. The M/G/1 retrial queue with feedback and starting failures, Applied Mathematical Modelling, Volume 26, 1057-1075.
  7. Mokaddis, G. S., Metwally, S. A. and Zaki, B. M., 2007. A Feedback Retrial Queuing System with Starting Failures and Single Vacation, Tamkang Journal of Science and Engineering, Vol. 10, N0. 3, 183-192.
  8. Sennot, L.A., Humblet, P.A. and Tweedie, R.L., 1983. Mean drifts and non-ergodicity of Markov chains, Operations Research, 31, 783-789.
  9. Takagi, H., 1991. Queueing Analysis: Vacation and Priority Systems, North-Holland, Amsterdam, Vol. 1. 230.
  10. Wu, D. A. and Takagi, H., 2005. M/G/1 queue with multiple working vacations. Performance Evaluation, 63, 654-681.
  11. Yang, T. and Li, H., 1994. The M/G/1 Retrial Queue with the Server subjected to Starting Failure, Queueing System, 16, 83-96.
Index Terms

Computer Science
Information Sciences

Keywords

Retrial Queuing System Single Vacation and Orbital Search.