A study on Optimal Strategy N-policy Fuzzy Vacation Queueing System With Server start up and Time out Using L-R Method

Main Article Content

P Sudhakara Babu
K Satishkumar
K Chandan

Abstract

In this study, the process of finding performance measures of N* is the  optimal threshold , L  is the expected system length  and T(N*) is the minimum expected cost for an optimal strategy analysis of N-policy FM / FM / 1 Vacation Queueing system with server Start-up and Time-out, in which the arrival rate and service rate triangular and trapezoidal fuzzy numbers are proposed. By using L-R method the L-R method is smaller and more convenient differentiate to alpha-cuts method. The cogency of the model is study by numerical example.

Downloads

Download data is not yet available.

Article Details

Section
Articles
Author Biography

P Sudhakara Babu

  Research Scholar Dept.of Statistics

              Acharya Nagarjuna University,

              Guntur, Andhra Pradesh, India

References

L. A. Zadeh, “Fuzzy sets. Information and Control’’, 1965, vol. 8 , pp. 338–353.

R.J.Li and E.S.Lee, â€Analysis of fuzzy queues, computers and Mathematics with Applications’’, 1989 , 17(7),1143-1147.

R.Srinivasan, “Fuzzy queueing model using DSW algorithm’’, international Journal of Advanced Research in Mathematics and Computer Applications, 2013, 1(1), 1-6.

Mukeba Kanyinda Jean Pierre and Rostin Mekengo Matendo Mabela, 2016, “Computing Fuzzy Queueing Performance Measures by L-R Methodâ€, In Journal of Fuzzy Set Valued Analysis April2015, http://www.researchgate.net/publication/284217560 , DOI:10.5899/2015/jfsva-00226.

K Satish Kumar, K. Chandan and A. Ankama Rao, 2017, “Optimal strategy analysis of N-policy M/M/1 vacation queueing system with server start up and time outâ€,

International Journal of Engineering Science Invention. ISSN (Online):2319-6734, Vol.6, issue11, 24-28.

Aarthi, M. Shanmugasundari , Saranya.V, “A Study On Fuzzy Queue With N Policy By Triangular Fuzzy Numbersâ€,

, European Journal of Molecular & Clinical Medicine, ISSN 2515-8260,Volume 07, Issue 03,4544 4544.

G. Kannadasan and D. Devi, “Fuzzy variant Vacations on Server Breakdowns using Pentagonal Numbers Advances and Applications in Mathematical Sciences Volumeâ€, April 2021, 20, Issue 6, Pages 1003-1019 © 2021 Mili Publications.

N.Subashini and N.Anusheela , (2021), “Variance Performance Measures in terms of Crisp Values for FM/FM/1by using L-R methodâ€, Journal of Xi`an University of Architecture & Technology, Valume XIII, Issue 3 , ISSN No: 1006-7930,pp-211-215.

S.Vijaya, N.Srinivasan and M.V.Suresh, (2021), “A study on Fuzzy Decision Problem of a Queueing System with Finite Capacity by LR Method†,Turkish Journal of Computer and Mathematics Education, Vol.12 No.9, 2411-2419.