Mathematical Problems in Engineering
Volume 5 (2000), Issue 5, Pages 421-439
http://dx.doi.org/10.1155/S1024123X99001179
Analysis of a production system with a feedback buffer and a general dispatching time
Department of Industrial Engineering, Sung Kyun Kwan University, Su Won 440-746, Korea
Received 1 December 1998; Revised 13 May 1999
Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we analyze a production system with a finite feedback buffer and dispatching time. Parts enter a “main buffer” before they are processed. Processed parts leave the system with probability
We derive various performance measures such as the mean number of parts in each buffer, the mean system sojourn time and the dispatching rate. We also discuss the effects of the dispatching time on the performance measures. We finally derive the procedure to obtain the optimal buffer size that minimizes the overall operating cost.