Title :
Asymptotic analysis of stochastic manufacturing system with slow and fast machines
Author :
Bielecki, T.R. ; Filar, J.A. ; Gaitsgory, V.
Author_Institution :
Northeastern Illinois Univ., IL, USA
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. The 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 might be satisfied
Keywords :
manufacturing processes; minimisation; operations research; stochastic systems; asymptotic analysis; asymptotic behaviour; discounted cost; dynamic flow-shop; fast machines; minimization; natural conditions; production capacities; slow machines; stochastic manufacturing system; time scale; transition rates; value function; Australia; Books; Costs; Machinery production industries; Manufacturing industries; Manufacturing systems; Markov processes; Process control; Stochastic systems; Terminology;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574371
