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A Note on a Sample-Path Rate Conservation Law and its Relationship with H = λG

Published online by Cambridge University Press:  01 July 2016

Karl Sigman
Karl Sigman*
Affiliation:
Columbia University
*
∗Postal address: Department of Industrial Engineering and Operations Research, Columbia University, Mudd Building, New York, NY 10027, USA.
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Abstract

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We present a simple sample-path version of the rate conservation law (of Miyazawa) and then show that the H = λG law (of Heyman and Stidham) is essentially the same law, that is, either one can be derived from the other. As a final remark we illustrate the use of both laws jointly to quickly obtain a queueing result.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 23 , Issue 3 , September 1991 , pp. 662 - 665
Copyright
Copyright © Applied Probability Trust 1991 

Footnotes

Research supported in part by the Japan Society for the Promotion of Science, during the author's fellowship in Tokyo, and by NSF grant DDM 895 7825.

References

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