A transient solution to the M/M/c queuing model equation with balking and catastrophes

Abstract

Abstract. 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.

ANFIS-Enhanced <i>M</i>/<i>M</i>/2 Queueing Model Investigation in Heterogeneous Server Systems with Catastrophe and Restoration

“…Takacs [10] later examined a queue system with a single server and feedback. In order to investigate potential uses, references to studies conducted by Santhakumaran and Thangaraj [11], Choudhury and Paul [12], Kumar [13], Varalakshmi et al [14], and Bouchentouf et al [15] can be consulted. These works delve into the historical background and contributions of researchers within the realm of QS's that incorporate balking and feedback.…”