Volume 21 , Issue 2 , PP: 196-203, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
P. Yasodai 1 * , W. Ritha 2
Doi: https://doi.org/10.54216/IJNS.210216
An unobservable fluid queuing model with alternately occurring on and off states is being examined in this study. The sojourn times differ from one another and are dispersed in a distribution that is exponential. Flow of fluid into the buffer's system accompanied by a few waiting procedures according to the first service is given to those who come first. In a neutrosophic fuzzy environment, the information acquired when the fluid enters the system can be split into fully and partially observable cases. The arrival and outflow rates are both neutrosophic trapezoidal fuzzy numbers. We calculate the average fluid level and sojourn duration per unit of time for the buffer.
Buffer&rsquo , s average fluid level , Buffer&rsquo , s average sojourn time , Centroid ranking , Equipoise strategies , Fully unobservable , Partially unobservable , Trapezoidal Neutrosophic fuzzy number , On-off fluid queue model.
[1] Atanassov, K. (1994). New operations defined over the Intuitionistic fuzzy sets. Fuzzy Sets and Systems.61(2): PP. 137-142.
[2] Abdullah, L., & Azman, F. N. (2014). A New Centroids Method for Ranking of Trapezoid Fuzzy Numbers. Jurnal Teknologi, 68(1): PP. 101-108.
[3] Azman, F. N., and Abdullah, L. (2012). Ranking Fuzzy numbers by Centroid method, Malaysian Journal of Fundamental and Applied Sciences, 8(3): PP. 121-125.
[4] Broumi Said., Malayalan Lathamaheswari., Ruipu Tan., Deivanayagampillai Nagarajan., Talea Mohamed., Florentin Smarandache., and Assia Bakali. (2020). A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids. Neutrosophic Sets and Systems. 35(1): PP. 478-502.
[5] Couto, A. P., Leao., R. M., and Souza, E. D. (2004). An efficient approximate technique for solving fluid models. ACM SIGMETRICS Performance Evaluation Review, 32: PP. 6-8.
[6] Chu, T. C., and Tsao, C. T. (2002). Ranking Fuzzy Numbers with an Area between the centroid point and original point. Computers and Mathematics with Applications, 43: PP. 111-117.
[7] Economou, A., and Kanta, S. (2008). Equilibrium balking strategies in the observable single server queue with breakdown and repairs. Operations Research Letters, 36(6): PP. 696-699.
[8] Economou, A., and Manou, A. (2016). Strategic behavior in an observable fluid queue with an alternating service process. European Journal of Operational Research, 254: PP. 148-160.
[9] Fateen Najwa Azman., & Lazim Abdullah. (2012). Ranking Fuzzy Numbers by centroid Method. Malaysian Journal of Fundamental and Applied Sciences, 8(3): PP. 121-125.
[10] Florentin Smarandache.(2018)., Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets – Revisited. Neutrosophic Sets and Systems, vol. 21: PP. 153-166. https://doi.org/10.5281/zenodo.1408740
[11] Hassin, R., and Haviv, M. (2003). To queue or not to queue: equilibrium behavior in queueing systems, Springer US, vol. 59: PP. 255-257.
[12] Kumar, A., Singh, P., Kaur, A., and Kaur, P. (2010). Ranking of Generalized Trapezoidal Fuzzy Numbers Based on Rank, Mode, Divergence and Spread. Turkish Journal of Fuzzy Systems. 1(2): PP. 141–152.
[13] Smarandache, F. (1998). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth.
[14] Smarandache, F. (2006). Neutrosophic set – a generalization of the intuitionistic fuzzy Set. IEEE international conference on granular computing. PP. 38-42.
[15] Wang, S., Xu, X. (2021). Equilibrium strategies of the fluid queue with working vacation. Operational Research, 21: PP. 1211-1228.
[16] Wang, Y. M., Yang, J. B., Xu, D. L., & Chin, K. S. (2006). On the Centroids of fuzzy numbers. Fuzzy sets and systems, 157(7): PP. 919-926.
[17] Xiu-li Xu., & Shuo Wang. (2022). Equilibrium strategies in an Unobservable On-off fluid Queue. Acta Mathematicae Applicatae Sinica, English Series, 38(2): PP. 324-336.
[18] Ye, J. (2014). Single valued neutrosophic cross-entropy for multi-criteria decision Making problems. Applied Mathematical Modelling. 38(3): PP. 1170-1175.
[19] Yu, S., Liu, Z., & Wu, J. (2016). Equilibrium strategies of the unobservable M/M/1Queue with balking and delayed repairs. Applied Mathematics and Computation, 290: PP. 56-65.
[20] Zadeh, L. A. (1978). Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, vol. 1(1): PP. 3-28.
