ISSN:
1572-9443
Keywords:
Stability
;
control strategies
;
inventory processes
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract Consider a production system that consists ofm machines each of which can produce parts ofn types. When machinek is used, it produces a part of typei with probabilityp ki . Requests arrive for parts, one at a time. With probability λ i an arriving request is for a part of typei. The requests must be served without waiting. Thus, if a requested part is not available, it must be produced. We find necessary and sufficient conditions for the existence of a strategy (a choice of the machines to be used) which makes the inventory of parts stable and we provide such a strategy. Two variations of this model are also considered: the case of batch arrivals of requests, and that of a system where the requests can be queued.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01149185
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