Continuous Petri nets with delays for performance evaluation of transfer lines

Proceedings - IEEE International Conference on Robotics and Automation

Volumn 2005, Issue , 2005, Pages 3721-3726

  Mourani, Iyad ^a   Hennequin, Sophie ^a   Xie, Xiaolan ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Continuous flow model; Delay; Petri nets; Throughput rate; Transfer line

Indexed keywords

CONSTRAINT THEORY; FAILURE ANALYSIS; MATHEMATICAL MODELS; OPTIMIZATION; PETRI NETS;

CONTINUOUS PETRI NETS; CONTINUOUS-FLOW MODELS; THROUGHPUT RATES; TRANSFER LINE;

RESOURCE ALLOCATION;

EID: 33846143509     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2005.1570687     Document Type: Conference Paper

References (20)

1. Akella, R. and Kumar, P. R., "Optimal control of production rate in a failure prone manufacturing system", IEEE Transactions on Automatic Control, vol. 31, pp. 116-126, 1986.
2. Buzacott, J. A., and Shanthikumar, J. G. Stochastic Models of Manufacturing Systems, Englewood Cliff, NJ: Prentice-Hall, 1992.
3. Cassandras, C.G., Discrete Event Systems: Modeling and Performance Analysis, Richard D. Irwin, Inc., and Aksen Associates, Inc., 1993.
4. Corriga, G., Giua, A. and Usai, G., "Petri net modeling of irrigation canal networks", Int. Work on Regulation of Irrigation Canals, pp. 39-48, April 1997.
5. Dallery, Y. and Gershwin, S. B. "manufacturing flow line systems: a review of models and analytical results", Queuing Systems, vol. 12, pp. 3-94, 1992.
6. R. David and H. Alla, Petri Nets and Grafcet-Tools for Modeling Discrete Event Systems, Prentice Hall, New York, London, 1992.
7. David, R., Xie, X. and Dallery, Y., "Properties of Continuous Models of Transfer Lines with Unreliable Machines and Finite Buffers", IMA Journal of Mathematics Applied in Business and Industry, vol. 6, pp. 281-308, 1990.
8. Hess, R. A., "Optimal control approximation for time delay systems", AIAA Journal, vol. 10, no. 11, November 1972.
9. Hess, R. A., and Hyde, J. G., "Suboptimal control of time-delay systems", IEEE Transaction on Automatic Control, vol.18, no. 6, December 1973.
10. Kimemia, J., and Gershwin, S. B., "An algorithm for the computer control of a flexible manufacturing system", IIE Transactions, vol. 15, no. 4, December 1983.
11. Kroese, D. P., "On the decay rates of buffers in continuous flow lines", Methodology and Computing in Applied Probability, vol. 2, pp. 425-441, 2000.
12. Repin, I. M., "On the approximate replacement of systems with lag by ordinary dynamic systems", Journal of Applied Mathematics and Mechanics, 29, pp. 254-264, 1965.
13. Ross, D. W., and Flugge-Lotz, I., "An optimal control problem for systems with differential-difference equations dynamics", SIAM Journal on Control, vol. 7, no. 4, November 1969.
14. Song, D. P. and Sun, Y. X., "Optimal hedging point control for a failure-prone manufacturing system", International Journal of Systems Science, vol. 32, pp. 681-688, 2001.
15. Suri, R. and Fu, B.-R. "on using continuous flow line to model discrete production lines", Discrete Event Dynamic Systems: Theory and Applications, vol. 4, pp. 127-169, 1994.
16. Tan, B., "Production control of a pull system with production and demand uncertainty", IEEE Transactions on Automatic Control, vol. 47, pp. 779-783, 2002.
17. Van Ryzin, G. J., Lou, S. X. C., and Gershwin, S. B. "Scheduling job shops with delay", Int. J. Prod. Res, vol. 29, no. 7, pp. 1407-1422, 1991.
18. Xie, X. "Performance Analysis of a Transfer Line with Unreliable Machines and Finite Buffers", IIE Transactions, vol. 25, no.1, pp. 99-108, 1993.
19. Xie, X., "Evaluation and Optimization of two-stage Continuous Transfer Lines Subject to Time-Dependent Failures", J. Discrete Event Dynamic Systems: Theory and Applications, vol. 12, pp. 109-122, 2002.
20. Xie, X., Mourani, I., Hennequin, S., "Performance evaluation of production lines subject to time and operation dependent failures using Petri Nets", Proceeding of Eighth International Conference on Control Automation, Robotics and Vision (ICARCV), pp. 2122-2127, December 2004.