Replacement of train wheels: an application of dynamic reversal of a Markov process
-
Published:1994-03
Issue:1
Volume:31
Page:1-8
-
ISSN:0021-9002
-
Container-title:Journal of Applied Probability
-
language:en
-
Short-container-title:Journal of Applied Probability
Author:
Gates David,Westcott Mark
Abstract
A problem of regrinding and recycling worn train wheels leads to a Markov population process with distinctive properties, including a product-form equilibrium distribution. A convenient framework for analyzing this process is via the notion of dynamic reversal, a natural extension of ordinary (time) reversal. The dynamically reversed process is of the same type as the original process, which allows a simple derivation of some important properties. The process seems not to belong to any class of Markov processes for which stationary distributions are known.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A product-form network for systems with job stealing policies;ACM Transactions on Modeling and Performance Evaluation of Computing Systems;2024-02-03