On the reversible counters system of Lampard
- 1 March 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (03) , 639-646
- https://doi.org/10.1017/s0021900200048518
Abstract
The paper considers some properties of the reversible counters system of Lampard [1]. Lampard considers the properties of the process imbedded at the epochs when the counter receiving pulses from the ‘down’ process reaches zero. We consider here the time-dependent and stationary distributions of the original process. Their derivation gives rise to some interesting functional equations, besides being useful for studying queues with Markov-dependent inter-arrival or service times.Keywords
This publication has 1 reference indexed in Scilit:
- A stochastic process whose successive intervals between events form a first order Markov chain — IJournal of Applied Probability, 1968