A transient solution for the system size in the M/M/1 queueing model with the possibility of
catastrophes at the service station is derived in the direct way. Asymptotic behavior of the …

In this paper, we study an infinite capacity multi-server Markovian queuing system with
balking and retention of reneging customers. The transient analysis of the model is …

The effect of “impatient” behaviour is studied primarily in the context of “double-ended”
queues where each demands service from the other, typically taxis and passengers. Related …

Queuing systems with customers' impatience are highly applicable in many real life
situations, for instance, in grocery stores, banks, hospitals, barber shops, call centres, online …

Queues or waiting lines are an integral part of health care facilities such as hospitals,
outpatient clinics, medical laboratories, and many other health facilities. Health care …

The transient solution is obtained analytically using continued fractions for a statedependent
birth-death queue in which potential customers are discouraged by the queue length. This …

Recently Krishna Kumar and Pavai [10] have obtained the transient distribution for the
queue length of the system an M/M/1 queueing system with catastrophes, server failures …

We are concerned with the M/G/1 retrial queue with balking. The ergodicity condition is first
investigated making use of classical mean drift criteria. The limiting distribution of the …

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 …

This paper analyses a heterogeneous multi-server queuing system with balking and
reneging. In this system, when all the c servers are busy, an arriving customer decides either …