Hierarchical production controls in a stochastic two-machine flowshop with a finite internal buffer

IEEE Transactions on Robotics and Automation

Volumn 13, Issue 1, 1997, Pages 1-13

  Sethi, Suresh P ^a,d   Zhang, Qing ^b   Zhou, Xun Yu ^c  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF GEORGIA   (United States)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^d IEEE   (Canada)

Author keywords

Discrete event systems; Hierarchical systems; Manufacturing; Stochastic optimal control

Indexed keywords

CONTROL THEORY; DYNAMIC PROGRAMMING; FEEDBACK CONTROL; HIERARCHICAL SYSTEMS; INVENTORY CONTROL; MANUFACTURE; OPTIMAL CONTROL SYSTEMS; PLANNING; PRODUCTION; PRODUCTION CONTROL; STOCHASTIC CONTROL SYSTEMS;

DISCRETE EVENT SYSTEMS; HIERARCHICAL PRODUCTION CONTROL; MACHINE BREAKDOWN; OPEN LOOPS CONTROLS; STOCHASTIC OPTIMAL CONTROL;

MACHINE SHOPS;

EID: 0031077681     PISSN: 1042296X     EISSN: None     Source Type: Journal    
DOI: 10.1109/70.554343     Document Type: Article

References (16)

1. R. Akella and P. R. Kumar, "Optimal control of production rate in failure prone manufacturing system," IEEE Trans. Automat. Contr., vol. AC-31, pp. 116-126, 1986.
2. S. X. Bai, "Scheduling manufacturing systems with work-in-process inventory control," Ph.D. dissertation, MIT OR Center, Sept. 1991.
3. S. X. Bai and S. B. Gershwin, "Scheduling manufacturing systems with work-in-process inventory," in Proc. 29th IEEE Conf. Decision and Contr., Honolulu, HI, Dec. 5-7, 1990, pp. 557-564.
4. S. B. Gershwin, Manufacturing Systems Engineering. Englewood Cliffs, NJ: Prentice-Hall, 1994.
5. J. G. Kimemia and S. B. Gershwin, "An algorithm for the computer control of production in flexible manufacturing systems," IIE Trans., vol. 15, pp. 353-362, 1983.
6. J. Lehoczky, S. P. Sethi, H. M. Soner, and M. Taksar, "An asymptotic analysis of hierarchical control of manufacturing systems under uncertainty," Math. Oper. Res., vol. 16, pp. 596-608, 1991.
7. S. Lou, S. P. Sethi, and Q. Zhang, "Optimal feedback production planning in a stochastic two-machine flowshop," Eur. J. Oper. Res., vol. 73, pp. 331-345, 1994.
8. E. Presman, S. P. Sethi, and Q. Zhang, "Optimal production planning in a stochastic N-machine flowshop," Automatica, vol. 31, pp. 1325-1332, 1995.
9. C. Samaratunga, S. P. Sethi, and X. Y. Zhou, "Computational evaluation of hierarchical production control policies for stochastic manufacturing systems," Oper. Res. to be published.
10. S. P. Sethi and Q. Zhang, " Hierarchical production planning in dynamic stochastic manufacturing systems: Asymptotic optimally and error bounds," J. Math. Anal. App., vol. 181, pp. 285-319, 1994.
11. _, Hierarchical Decision Making in Stochastic Manufacturing Systems. Cambridge, MA: Birkhäuser Boston, 1994.
12. S. P. Sethi, Q. Zhang, and X. Y. Zhou, "Hierarchical controls in stochastic manufacturing systems with convex costs," J. Optim. Theory Appl., vol. 80, pp. 299-317, 1994.
13. _,"Hierarchical controls in stochastic manufacturing systems with machines in tandem," Stoch. Stoch. Rep., vol. 41, pp. 89-118, 1992.
14. S. P. Sethi and X. Y. Zhou, "Asymptotic optimal feedback controls in stochastic dynamic two-machine flowshops," in Lecture Notes in Control and Information Sciences, G. Yin and Q. Zhang, Eds. New York: Springer-Verlag, 1996, vol. 214, pp. 147-180.
15. N. Srivatsan, S. X. Bai, and S. B. Gershwin, "Hierarchical real-time integrated scheduling of a semiconductor fabrication facility," in Computer-Aided Manufacturing/Computer-Integrated Manufacturing, part 2 of vol. 61 in the series Control and Dynamic Systems, C. T. Leondes, Ed. New York: Academic, 1994, pp. 197-241.
16. G. J. Van Ryzin, X.-C. Lou, and S. B. Gershwin, "Production control for a tandem two-machine system," IIE Trans., vol. 25, pp. 5-20, 1993.