Some Application of Random Fuzzy Queueing System Based On Fuzzy Simulation

Authors: Behrouz Fathi-Vajargah, Sara Ghasemalipour

Abstract:

This paper studies a random fuzzy queueing system that the interarrival times of customers arriving at the server and the service times are independent and identically distributed random fuzzy variables. We match the random fuzzy queueing system with the random fuzzy alternating renewal process and we do not use from α-pessimistic and α-optimistic values to estimate the average chance of the event ”random fuzzy queueing system is busy at time t”, we employ the fuzzy simulation method in practical applications. Some theorem is proved and finally we solve a numerical example with fuzzy simulation method.

Keywords: Random fuzzy variables, Fuzzy simulation, Queueing system, Interarrival times.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337115

References:

[1] Y. Ning, W. Tang, R. Zhao, Analysis on random fuzzy queueing systems with finite capacity, Technical Report, 2006.
[2] B. Liu, Y. Liu, Expected value of fuzzy variable and fuzzy expected value model, IEEE Transactions on Fuzzy Systems 10 (2002) 445-450.
[3] B. Liu, A survey of credibility theory, Fuzzy Optimization and Decision Making, Vol 5, No. 4, pp. 387-408, 2006.
[4] Y.K. Liu, B.D. Liu, Expected value operator of random fuzzy variable and random fuzzy expected value models, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 11 (2003) 195-215.
[5] B. Liu, A survey of credibility theory, Fuzzy Optimization and Decision Making, Vol 5, No. 4, pp. 387-408, 2006.
[6] S. Li. Some properties of fuzzy alternating renewal processes, Mathematical and Computer Modelling 54 (2011) 1886-1896.
[7] D. Gross, C. M. Harris, Fundamentals of Queueing Theory, Wiley, New York, 1998.
[8] Y. F. Ning, Busy period of random fuzzy queueing systems, International conference, Hong Kong, 19-22, 2007.