The analysis of the M/M/1 queue with two vacation policies using pentagonal fuzzy numbers

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DOI:

https://doi.org/10.26637/MJM0703/0026

Abstract

This study investigates the analysis of the M/M/1 queue with two vacation policies and Fuzzy parameters (FM/FM/1/SWV+MV). For this fuzzy queuing model, the researcher obtains some performance measure of interest such as the server is in the working vacation period, server is in the vacation period, the server is in the regular service period. Finally, numerical results are presented using pentagonal fuzzy numbers to show the effects of system parameters.

Keywords:

FM/FM/S model, membership values, pentagonal fuzzy numbers

Mathematics Subject Classification:

Mathematics
  • G. Kannadasan Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
  • D. Devi Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
  • N. Sathiyamoorthi Department of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.
  • Pages: 526-531
  • Date Published: 01-07-2019
  • Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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Published

01-07-2019

How to Cite

G. Kannadasan, D. Devi, and N. Sathiyamoorthi. “The Analysis of the M/M/1 Queue With Two Vacation Policies Using Pentagonal Fuzzy Numbers”. Malaya Journal of Matematik, vol. 7, no. 03, July 2019, pp. 526-31, doi:10.26637/MJM0703/0026.