Izvorni znanstveni članak
https://doi.org/10.17535/crorr.2017.0037
A transient solution to the M/M/c queuing model equation with balking and catastrophes
Rakesh Kumar
; School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India-182320
Sažetak
In this paper, we consider a Markovian multi-server queuing system with balking and catastrophes. The probability generating function technique along with the Bessel function properites is used to obtain a transient solution to the queuing model. The transient probabilities for the number of customers in the system are obtained explicitly. The expressions for the time-dependent expected number of customers in the system are also obtained. Finally, applications of the model are also discussed.
Ključne riječi
transient solution; M/M/c queuing system; catastrophes; generating function; balking
Hrčak ID:
193644
URI
Datum izdavanja:
30.12.2017.
Posjeta: 1.801 *