Queuing System on Service Interruption and Standby Server

Authors

  • S. Maragathasundari Dept of Mathematics, Kalasalingam academy of research and education, Krishnan Koil, Virudhunagar, India
  • M. Manimala Dept of Mathematics, Kalasalingam academy of research and education, Krishnan Koil, Virudhunagar, India
  • Abhishikth Lingisetty Dept of Computer science, Kalasalingam academy of research and education, Krishnan Koil, Virudhunagar, India

Keywords:

Compulsory repair, Extended optional repair, Service interruption, Standby server

Abstract

This article deals with a Queuing model in which the presence of customers follows a Poisson distribution. Customers show up exclusively. Service rendered in a single stage follows a general scattering. Interruption happens capriciously in the server. At the point when the server gets barged in on, it gets into a Repair methodology where it is carried out in two stages vital and expanded fix arrange. To keep up a key good ways from the long queue, during the hour of extended fix process a standby server is given. This Queuing issue is enlightened by valuable variable system and the line execution measures are deduced. The model is especially pushed by numerical examination and graphical delineation.

 

References

Atencia,I. “A discrete time queuing system with server breakdowns and changes in the repair times”,Ann.oper.Res. 2015,235,37-49.

Khalaf.R.F, Madan.K.C and Lucas.C.A, “An M[x]/G/1 Queue with Bernoulli schedule, General vacation times, random breakdowns, general and general repair times”, Applied mathematical sciences, Vol.5, No.1, pp.35-51,2011.

Karthikeyan.K and Maragathasundari.S, “Batch arrival of two stages with standby server during general vacation time & general repair time”, International Journal of Mathematical archive, Vol.6, No.4, pp.43-48, 2015.

Kavitha.K and Maragathasundari.S, “Analysis of Non Markovian queue with restricted admissibility and optional types of repair”, International journal of scientific research and management studies, Vol.2, No.5, pp.244-252, 2012

Madan.K.C, “An M/G/1 queue with second optional service”, Queuing system, 34(2000),37-46.

Maragathasundari. S (2019), Queuing system modeling for supermarkets, International Journal ofInnovative Technology and Exploring Engineering ,ISSN: 2278-3075, Volume-9, Issue-2S2,pp.591-597, December 2019.

Maragathasundari.S and Karthikeyen.K, “A study on M/G/1 Queuing system with extended vacation, random break downs and general repair”, International journal of Mathematics and its Applications,vol.3,pp.43-49,2015.

Rajadurai.P and Chandrasekaran,V.M, “A study on M/G/1 feedback retrial queue with subject to server breakdown and repair under multiple working vacation policy”, AlexandrianEngineering Journal, vol.57,pp.947-962,2018.

Thiruvengadam.K, Queuing with breakdown, Operations Research, vol.11,pp.62-71,1963.

Zhang.M and Liu.Q, “An M/G/1 queue with server breakdown, working vacations and vacation interruption”, Operations Research, vol.52,pp.256-276,2015.

Downloads

Published

2020-04-30

How to Cite

[1]
S. Maragathasundari, M. Manimala, and A. Lingisetty, “Queuing System on Service Interruption and Standby Server”, Int. J. Sci. Res. Net. Sec. Comm., vol. 8, no. 2, pp. 8–12, Apr. 2020.

Issue

Section

Research Article

Similar Articles

<< < 1 2 3 4 > >> 

You may also start an advanced similarity search for this article.