The distributional form of little's law and the fuhrmann-cooper decomposition

Authors:
J. Keilson;L. D. Servi
Affiliations:
GTE Laboratories Incorporated and Massachusetts Institute of Technology, USA;GTE Laboratories Incorporated, USA
Venue:
Operations Research Letters
Year:
1990

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Abstract

For certain classes of customers, the ergodic number of customers in system (queue) and the ergodic time spent in system (queue) are related by a distributional form of Little's Law [7]. When such a class satisfies modest auxiliary conditions, a structurally simple decomposition of the number in system of the form of Fuhrmann and Cooper [3] is present. This decomposition is implemented for several queueing systems and is shown there by to provide a degree of unification to queueing theory.