Design of a production system with a feedback buffer

Design of a production system with a feedback buffer

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Article ID: iaor20002509
Country: United States
Volume: 26
Issue: 1/2
Start Page Number: 187
End Page Number: 202
Publication Date: Oct 1997
Journal: Queueing Systems
Authors: ,
Keywords: GI/G/c queues
Abstract:

In this paper, we deal with an M/G/1 Bernoulli feedback queue and apply it to the design of a production system. New arrivals enter a ‘main queue’ before processing. Processed items leave the system with probability 1 − p or are fed back with probability into an intermediate finite ‘feedback queue’. As soon as the feedback queue is fully occupied, the items in the feedback queue are released, all at a time, into the main queue for another processing. Using transform methods, various performance measures are derived such as the joint distribution of the number of items in each queue and the dispatching rate. We then derive the optimal buffer size which minimizes the overall operating cost under a cost structure.

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