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A Difference Equation Technique Applied to the Simple Queue

B. W. Conolly

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1958 · Volume 20 · Issue 1

DOI: 10.1111/j.2517-6161.1958.tb00285.x

Abstract

Thedifference equations satisfied by the Laplace transforms of the state probabilities at finite time are solved by a direct method in the case of a simple queue. This is an alternative to Bailey's (1954) procedure, which appears to economize in algebra.

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