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Published:
Sep 18, 2008Keywords:
Markov processes birth-death models frame synchronization queuing systems z-transform.
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The copyright of a submitted article is only transferred to the publishers if and when the article is accepted for publication. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, electrostatic, mechanical, photocopying, recording or otherwise without the prior written permission of the publishers.
Main Article Content
The Z-Transform Applied to Birth-Death Markov Processes
Abstract
Birth-death Markov models have been widely used in the study of natural and physical processes. The analysis of such processes, however, is mostly performed using time series analysis. In this report, a finite state birth‑death Markov process is analyzed using the z‑transform approach. The performance metrics of the system and their variation with the system parameters are then derived and presented.
Keywords: Markov processes, birth-death models, frame synchronization, queuing systems, z-transform.
Journal of Science and Technology Vol. 28 (2) 2008: pp. 75-84
