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The Journal of Analysis

, Volume 27, Issue 1, pp 209–232 | Cite as

Fuzzy analysis of bulk arrival two phase retrial queue with vacation and admission control

  • J. Ebenesar Anna BagyamEmail author
  • K. Udaya Chandrika
Original Research Paper
  • 25 Downloads

Abstract

In this paper state dependent batch arrival two phase retrial queue is considered. Admission of each individual customer to the system depends upon the state of the server. The server provides first essential service to all the admitted customers. After completion of essential service the customer may opt second optional service or leave the system. However, if the customer is dissatisfied with the essential service he can immediately join the orbit as a feedback customer. After providing service to a customer, the server may either wait for a new customer or take one of the multi-optional vacations. For the proposed model, steady state performance characteristics are derived. Numerical results are presented. The model is further analysed under fuzzy environment by using Zadeh’s extension principle.

Keywords

Fuzzy retrial queue Admission control Two stage service and vacation 

Mathematics Subject Classification

60K20 60K25 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsAvinashilingam Institute for Home Science and Higher Education for WomenCoimbatoreIndia
  2. 2.Department of MathematicsAvinashilingam Institute for Home Science and Higher Education for WomenCoimbatoreIndia

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