Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2006 / Article

Open Access

Volume 2006 |Article ID 81950 | 30 pages | https://doi.org/10.1155/MPE/2006/81950

Bernoulli serial production lines with quality control devices: Theory and application

Received08 Jul 2005
Revised11 Oct 2005
Accepted10 Nov 2005
Published29 Mar 2006

Abstract

This paper develops the procedure for the analysis of the production systems with quality control devices. The evaluation of the production system requires an expression for the system performance measures as functions of the machine and buffer parameters. This paper presents a method for evaluating these functions and illustrates their practical utility using a case study at a production plant.

References

  1. M.-S. Ban, J.-T. Lim, and D.-J. Park, “Performance analysis of serial production lines with quality inspection machines,” International Journal of System Science, vol. 29, no. 9, pp. 939–951, 1998. View at: Google Scholar | Zentralblatt MATH
  2. S.-Y. Chiang, C.-T. Kuo, J.-T. Lim, and S. M. Meerkov, “Improvability of assembly systems II: improvability indicators and case study,” Mathematical Problems in Engineering, vol. 6, no. 4, pp. 359–393, 2000. View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
  3. S.-Y. Chiang, C.-T. Kuo, J.-T. Lim, and S. M. Meerkov, “Improvability of assembly systems. I. Problem formulation and performance evaluation,” Mathematical Problems in Engineering, vol. 6, no. 4, pp. 321–357, 2000. View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
  4. S.-Y. Chiang, C.-T. Kuo, and S. M. Meerkov, “Bottlenecks in Markovian production lines: a systems approach,” IEEE Transactions on Robotics and Automation, vol. 14, no. 2, pp. 352–359, 1998. View at: Publisher Site | Google Scholar
  5. S.-Y. Chiang, C.-T. Kuo, and S. M. Meerkov, “DT-bottlenecks in serial production lines: theory and application,” IEEE Transactions on Robotics and Automation, vol. 16, no. 5, pp. 567–580, 2000. View at: Publisher Site | Google Scholar
  6. S.-Y. Chiang, C.-T. Kuo, and S. M. Meerkov, “c-bottlenecks in serial production lines: identification and application,” Mathematical Problems in Engineering, vol. 7, no. 6, pp. 543–578, 2001. View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
  7. Y. Dallery, R. David, and X.-L. Xie, “Approximate analysis of transfer lines with unreliable machines and finite buffers,” IEEE Transactions on Automatic Control, vol. 34, no. 9, pp. 943–953, 1989. View at: Publisher Site | Google Scholar | Zentralblatt MATH
  8. E. M. Goldratt and J. Cox, The Goal, North Rivers Press, New York, 1986. View at: Google Scholar
  9. D. Jacobs and S. M. Meerkov, “Asymptotically reliable serial production lines with a quality control system,” Computers & Mathematics with Applications, vol. 21, no. 11-12, pp. 85–90, 1991. View at: Publisher Site | Google Scholar | Zentralblatt MATH
  10. D. Jacobs and S. M. Meerkov, “A system-theory property of serial production lines: improvability,” International Journal of System Science, vol. 26, no. 4, pp. 755–785, 1995. View at: Google Scholar
  11. C.-T. Kuo, J.-T. Lim, and S. M. Meerkov, “Bottlenecks in serial production lines: a system-theoretic approach,” Mathematical Problems in Engineering, vol. 2, no. 3, pp. 233–276, 1996. View at: Publisher Site | Google Scholar | Zentralblatt MATH
  12. J.-T. Lim, S. M. Meerkov, and F. Top, “Homogeneous, asymptotically reliable serial production lines: theory and a case study,” IEEE Transactions on Automatic Control, vol. 35, no. 5, pp. 524–534, 1990. View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
  13. G. Taguchi, System of Experimental Design: Engineering Methods to Optimize Quality and Minimize Cost, UNIPUB/Kraus, Michigan, 1987. View at: Google Scholar

Copyright © 2006 Shu-Yin Chiang. 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.

0 Views | 0 Downloads | 0 Citations
 PDF  Download Citation  Citation
 Order printed copiesOrder
 Sign up for content alertsSign up