We have divided this review into two parts. The first part is concerned with the optimal
design of queueing systems and the second part deals with the optimal control of queueing …

In this paper, we consider the M/G/1 queueing system under the Min (N, D)-policy in which
the idle server resumes its service if either N customers accumulate in the system or the total …

Consideration is given to the nonstationary analogue of M/M/1 queueing model in which the
service happens only in batches of size 2, with the arrival rate λ (t) and the service rate μ (t) …

In this paper, we consider a single server queueing system with a threshold control policy
and its application for controlling the energy consumption of a computing server. If the …

We study the steady-state queue length and waiting time of the M/G/1 queue under the D-
policy and multiple server vacations. We derive the queue length PGF and the LSTs of the …

Queuing models with discouragement, policies, and vacation have been extensively
investigated due to its wide range of applications in real-life scenarios. The effectiveness of …

Abstract sIn this paper, we develop a unified framework for the analysis of the waiting time,
the sojourn time and the queue length of the M/G/1 queue in which the server is controlled …

This paper considers a discrete-time Geo/G/1 queue under the Min (N, D)-policy in which the
idle server resumes its service if either N customers accumulate in the system or the total …

In this paper we consider a discrete-time Geo/G/1 queue with delayed Min (N, D)-policy.
Using renewal process theory, total probability decomposition technique and z-transform …

This paper studies an ${{M}^{({{\lambda} _ {1}},{{\lambda} _ {2}})}}/G/1$ queueing system
with uninterrupted single vacation under the control of $ D $-policy based on server's …