Truncated Erlangian queueing system with fuzzy arrival rate, balking and reneging

A. Pourdarvish () and M. Shokry
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A. Pourdarvish: University of Mazandaran
M. Shokry: University of Mazandaran

Fuzzy Information and Engineering, 2011, vol. 3, issue 4, 379-384

Abstract: Abstract In this paper, we derive the performance measures of the truncated Erlangian service queueing system with state-dependent rate, balking and reneging with fuzzy arrival rate $\tilde \lambda _n $ so for the (M/E r /1/N(α, β)), we have obtained P n,s the steady state probabilities in the system with the unit in the service being at stage s (s=1, 2, …, r); k is the boundary state for the number of customer more than the one that the rate of service increases. We treat this queueing system for general values of r, k and N and derive the Fuzzy effective measures for the operation of the system at any time.

Keywords: Fuzzy numbers; Arrival rate; Service rate; Fuzzy variables; Performance measures (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0092-7

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