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Ledermann, W. and Reuter, G.E.H. (1954) Spectral Theory for the Differential Equations of Simple Birth and Death Processes. Philosophical Transactions of the Royal Society of London, 246, 321-369.
http://dx.doi.org/10.1098/rsta.1954.0001

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.