World Academy of Science, Engineering and Technology
Published March 4, 2014 | Version 9997864
Journal article Open

Some Application of Random Fuzzy Queueing System Based On Fuzzy Simulation

Description

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.

Files

9997864.pdf

Files (129.6 kB)

Name Size
md5:ec54d5059d70e699192b80992f2a018b
129.6 kB Preview Download

Additional details

References

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