A Note on a Sample-Path Rate Conservation Law and its Relationship withH=λG
- 1 September 1991
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 23 (3) , 662-665
- https://doi.org/10.2307/1427629
Abstract
We present a simple sample-path version of the rate conservation law (of Miyazawa) and then show that theH=λGlaw (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.Keywords
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