The Continuous Time Solution of the Equations of the Single Channel Queue with a General Class of Service-Time Distributions by the Method of Generating Functions

Author:

Luchak George1

Affiliation:

1. General Electric Company; Philadelphia Pennsylvania

Publisher

Wiley

Subject

Statistics and Probability

Reference8 articles.

1. A continuous time treatment of a simple queue using generating functions;Bailey;J. R. Statist. Soc. B,1954

2. An elementary method of solution of the queueing problem with a single server and constant parameters;Champernowne;J. R. Statist. Soc. B,1956

3. A waiting line process of Markov type;Clarke;Ann. Math. Statist.,1956

4. Spectral theory for the differential equations of simple birth and death processes;Ledermann;Phil. Trans. Roy. Soc., A,1954

5. The solution of the single channel queueing equations characterized by a time-dependent Poisson-distributed arrival rate and a general class of holding times;Luchak;Opns. Res.,1956

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