An M/G/1 Retrial Queue with Unreliable Server Under Fuzzy Environment

Authors

  • S. Shanmugasundaram Department of Mathematics, Government Arts College, Salem
  • B. Venkatesh Department of Mathematics, Sona College of Technology, Salem

DOI:

https://doi.org/10.53555/ms.v2i4.235

Keywords:

Retrial queue, Breakdowns, Parametric Programming, Membership functions 2010 Mathematics Subject Classification: 60K25, 03E72

Abstract

An M/G/1 retrial queueing system with breakdowns have been studied in fuzzy environment. The arrival rate,retrial rate, service rate,failure rate and repair rate of server are all fuzzy numbers. For this model we obtain some system characteristics such as mean orbit size ,mean normal queue size and mean system size. The α cut approach is used to transform fuzzy queues with an unreliable server to a family of crisp retrial queues with unreliable server. By means of the membership functions of the system characteristics, a set of parametric nonlinear programme is developed to describe the family of crisp queues with an unreliable server.Numerical example is also illustrated to test the feasibility.

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Published

2016-04-30

How to Cite

Shanmugasundaram, S., & Venkatesh, B. (2016). An M/G/1 Retrial Queue with Unreliable Server Under Fuzzy Environment. International Journal For Research In Mathematics And Statistics, 2(4), 01–08. https://doi.org/10.53555/ms.v2i4.235

Issue

Vol. 2 No. 4 (2016): International Journal For Research In Mathematics And Statistics

Section

Articles

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