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Conolly, B.W. (1958) A Difference Equation Technique Applied to the Simple Queue with Arbitrary Arrival Interval Distribution. Journal of the Royal Statistical Society B, 21, 268-275.

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.