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Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment

by Seema, Deepak Gupta, Sameer Sharma
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 6
Year of Publication: 2013
Authors: Seema, Deepak Gupta, Sameer Sharma
10.5120/11585-6918

Seema, Deepak Gupta, Sameer Sharma . Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment. International Journal of Computer Applications. 68, 6 ( April 2013), 26-32. DOI=10.5120/11585-6918

@article{ 10.5120/11585-6918,
author = { Seema, Deepak Gupta, Sameer Sharma },
title = { Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 6 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 26-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number6/11585-6918/ },
doi = { 10.5120/11585-6918 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:27:07.430959+05:30
%A Seema
%A Deepak Gupta
%A Sameer Sharma
%T Analysis of Biserial Servers Linked to a Common Server in Fuzzy Environment
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 6
%P 26-32
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present paper is an attempt to find various characteristics of a queuing network in which two parallel biserial servers are linked to a common server in series under fuzzy environment. Waiting lines or queues are extensively used to analyze the production and service processes exhibiting random variability in arrival times and service times. It is usually assumed that the time between the two consecutive arrivals and servicing time follows a special probability distribution. However, in real world this type of information is obtained using qualitative data and expressed by words like quick, medium and slow rather than the probabilistic values. The - cut approach and fuzzy arithmetic operations are used to estimate the uncertainty associated with the input parameters. The proposed model is illustrated with a numerical illustration.

References
  1. Brak, S. , and Fallahnezhad, M. S. 2012. Cost analysis of fuzzy queuing system. International Journal of Applied Operational research, 2(2), 25-36.
  2. Buckley, J. J. 1990. Elementary queuing theory based on possibility theory. Fuzzy Sets and Systems, 37, 43-52.
  3. Buckley, J. J. , and Qu, Y. 1990. On using cuts to evaluate fuzzy equations. Fuzzy Sets and Systems, 38, 309-312.
  4. Finch, P. D. , 1960 . On transient behaviour of simple queue. J. Roy Statst, Soc. , 22, 277-283.
  5. Jackson, R. R. P. 1954. Queuing systems with phase-type service. Operational Research Quarterly, 5, 109-120.
  6. Kao, C. , Li, C. , and Chen, S. 1999. Parametric programming to the analysis of fuzzy queues. Fuzzy Sets and Systems, 107, 93-100.
  7. Kumar, V. , Singh, T. P. , and Kumar, R. 2006. Steady state behaviour of a queue model comprised of two subsystems with biserial channels linked with a common channel. Ref Des Era JSM, 1(2), 135-152.
  8. Li, R. J. , and Lee, E. S. 1989. Analysis of fuzzy queues. Computers and Mathematics with Applications, 17(7), 1143-1147.
  9. Little John, D. C. 1965. A proof of queuing formula: . Operation Research, 13, 400-412.
  10. Maggu, P. L. 1970. Phase type service queues with two servers in biseries. Journal of Operational Research Society of Japan, 13(1), 1-6.
  11. Nagoorgani, A. , and Retha, W. 2006. Fuzzy tandem queues. Acta Cienicia Indica. XXXII(M), 257-263.
  12. Negi, D. S. , and Lee, E. S. 1992. Analysis and simulation of fuzzy queues, Fuzzy Sets and Systems, 46, 321-330.
  13. Parbhu, N. U. 1967. Transient behaviour of tandem queues. Management sciences, 13, 631-639.
  14. Prade, H. M. 1980. An outline of fuzzy or possiblistic models for queuing systems, in: P. P Wang, S. K. Chang (Eds. ), Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems. Plenum Press, NewYork, 147-153.
  15. Pourdarvish, A, and Jamshidi, Y. 2008. Application of fuzzy set in transient behaviour of queuing system. JISSOR, XXIX.
  16. Reich, E. 1957. Waiting times when queues are tandem. Ann. Maths Statist, 28(3), 728-733.
  17. Robert, L. , and Ritha, W. 2010. Machine interference problem with fuzzy environment. I. J. Contemporary Math. Science, 5(39), 1905-1912.
  18. Ritha, W. , and Robert, L. 2009. Application of fuzzy set5 theory to retrial queues. International Journal of Algorithms, Computing and Mathematics, 2(4), 9-18.
  19. Singh, M. 1979. On certain queuing networks of serial/bi-serial channels. Ph. D Thesis, Meerut University, Merrut.
  20. Singh, T. P. 1986. On some networks of queuing and scheduling system. Ph. D. Thesis, Garhwal University, Srinagar, Garhwal.
  21. Singh, T. P. , Kumar, V. , and Kumar, R. 2005. On transient behaviour of queuing network with parallel biserial queues. JMASS, 1(2), 68-75.
  22. Singh, T. P. , and Pardeep 2009. Serail queue model with blocking under fuzzy environment. JMASS, 5(2), 86-94.
  23. Singh, T. P. , and Kusum, 2011. Trapezoidal fuzzy network queue model with blocking. ABJMI, 3(1), 185-192.
  24. Stanford, R. E. 1982. The set of limiting distributions for a Markov chain with fuzzy transition probabilities. Fuzzy Sets and Systems, 7, 71-78.
  25. Suzuki, T. 1963. Two queues in series. Journal of Operational Research Society of Japan, 5, 149-155.
  26. Yager, R. R. 1981. A procedure for ordering fuzzy subsets of the unit interval, Inform. Sci. 24, 143-161.
  27. Zadeh, L. A. 1978. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1, 3-28.
  28. Zimmermann, H. J. 1995. Fuzzy set theory and its applications, second ed. , Kluwer Academic Boston.
  29. Zhang, R. , Phillis, Y. A. , and Kauilkoglou, V. S. 2006. Fuzzy Control of Queuing Systems. ISBN 1852338245, Springer Verlags.
Index Terms

Computer Science
Information Sciences

Keywords

Queue network Mean queue length Waiting time Biserial servers Fuzzy arrival rate Fuzzy service rate Triangular fuzzy numbers.

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