A Note on a Sample-Path Rate Conservation Law and its Relationship withH=λG-Reference-Cited by-同舟云学术

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

Published:1991-09 Issue:3 Volume:23 Page:662-665
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Sigman Karl

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference15 articles.

1. Rate conservation for stationary processes

2. . Yamazaki G. , Miyazawa M. and Sigman K. (1991) The first few moments of work-load in fluid models with burst arrivals. Submitted for publication.

3. The derivation of invariance relations in complex queueing systems with stationary inputs

4. On rate conservation for non-stationary processes

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