Abate, J. and Whitt, W. (1988) Transient Behavior of the M/M/1 Queue via Laplace Transforms. Advances in Applied Probability, 20, 45-178. http://dx.doi.org/10.2307/1427274
has been cited by the following article:
TITLE: Approximate Analysis of an M/M/1 Markovian Queue Using Unit Step Function
AUTHORS: Dhanesh Garg
KEYWORDS: Transient Analysis, Unit Step Function, Queueing System
JOURNAL NAME: Open Access Library Journal, Vol.1 No.7, October 31, 2014
ABSTRACT: This study analyzes a single server queueing model with a time-dependent arrival rate and service rate is constant. In this model, the incoming arrivals are Poisson stream; service time is exponentially distributed and the first-come first-served queueing discipline. We obtain an explicit expression for the state probability distribution with time-dependent arrival rate using unit step function.