Stochastic properties of fork/join multi-stage production systems with general blocking

Stochastic properties of fork/join multi-stage production systems with general blocking

0.00 Avg rating0 Votes
Article ID: iaor19981638
Country: Japan
Volume: 40
Issue: 3
Start Page Number: 341
End Page Number: 355
Publication Date: Sep 1997
Journal: Journal of the Operations Research Society of Japan
Authors: ,
Keywords: manufacturing industries, queues: theory, statistics: regression
Abstract:

For tandem queues and fork/join queueing networks with communication blocking, the stochastic comparison, reversibility and other equivalence properties have been studied. In this paper, we consider a fork/join multi-stage production system with general blocking which includes the above models as special cases. Under the weak conditions of the initial numbers of items, we formulate this system into a generalized semi-Markov process (GSMP). Then we show the convex property of the GSMP, the stochastic comparison with respect to stochastic and convex ordering, the reversibility and the structural equivalence.

Reviews

Required fields are marked *. Your email address will not be published.