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

  • Rakesh Kumar SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, INDIA

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.

Author Biography

Rakesh Kumar, SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, INDIA

ASSISTANT PROFESSOR

DEPT OF MATHEMATICS

SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, J& K, INDIA-182320

Published
2017-12-31
Section
CRORR Journal Regular Issue