Mathematics and Statistics Vol. 10(5), pp. 918 - 924
DOI: 10.13189/ms.2022.100503
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Analysis of Hetrogeneous Feedback Queue Model in Stochastic and in Fuzzy Environment Using L-R Method

Vandana Saini ^1,*, Deepak Gupta ¹, A.K. Tripathi ^2
1 Maharishi Markandeshwar (Deemed to be University), Mullana (Ambala), India
² Department of Mathematics, Maharishi Markandeshwar (Deemed to be University), Mullana (Ambala), India

ABSTRACT

In this paper, we analyse a feedback queue network in stochastic and in fuzzy environment. We consider a model with three heterogeneous servers which are commonly attached to a server in starting. At the initial stage, all queue performance measures are obtained in steady-state that is in stochastic environment. After that, work is extended to fuzzy environment because practically all characteristics of the system are not exact, they are uncertain in nature. In the present work we use probability generating function technique, triangular fuzzy numbers, classical formulae for the calculation of all queue characteristics and L-R method to calculate queue characteristics in fuzzy environment.

KEYWORDS
Feedback, Heterogeneous, Stochastic Environment, Fuzzy Environment, L-R Method

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Vandana Saini , Deepak Gupta , A.K. Tripathi , "Analysis of Hetrogeneous Feedback Queue Model in Stochastic and in Fuzzy Environment Using L-R Method," Mathematics and Statistics, Vol. 10, No. 5, pp. 918 - 924, 2022. DOI: 10.13189/ms.2022.100503.

(b). APA Format:
Vandana Saini , Deepak Gupta , A.K. Tripathi (2022). Analysis of Hetrogeneous Feedback Queue Model in Stochastic and in Fuzzy Environment Using L-R Method. Mathematics and Statistics, 10(5), 918 - 924. DOI: 10.13189/ms.2022.100503.