@inbook{c1cd80c42442425b840f3c824ec12ac9,
title = "Asymptotic Analysis of a Stochastic Manufacturing System with Slow and Fast Machines",
abstract = "A dynamic flow-shop is considered consisting of one slow and one fast machine. Production capacities of both machines vary randomly according to a Markov chain whose transition rates are consistent with the time scale of the fast machine. Problem of minimization of a discounted cost of manufacturing is formulated. A conjecture is presented regarding the asymptotic behaviour of the value function for the above problem when the separation of slow and fast time scales becomes singular. Natural conditions are formulated under which the conjecture is might be satisfied, hence this note is a report on work in progress.",
author = "T.R. Bielecki and J.A. Filar and V. Gaitsgory",
year = "1996",
doi = "10.1109/CDC.1996.574371",
language = "English",
isbn = "0780335902",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers",
pages = "531--532",
booktitle = "Proceedings of the 35th IEEE Conference on Decision and Control",
address = "United States",
note = "35th IEEE Conference on Decision and Control ; Conference date: 11-12-1996 Through 13-12-1996",
}