Published Online: 14 JAN 2011
Copyright © 2010 John Wiley & Sons, Inc. All rights reserved.
Wiley Encyclopedia of Operations Research and Management Science
How to Cite
Degirmenci, G. 2011. Birth-and-Death Processes. Wiley Encyclopedia of Operations Research and Management Science. .
- Published Online: 14 JAN 2011
A birth-and-death (BD) process is a continuous-time Markov chain on the nonnegative integers whose transitions are restricted to its nearest neighbors. These processes have enjoyed wide popularity in a diverse set of fields. This article formally defines the BD process, reviews basic results for its transient and asymptotic analysis, discusses some special cases, and describes two applications in queueing theory.
- birth-and-death process;
- Markov process;
- population models;
- level dependent