Optimal production rates in a deterministic two-product manufacturing system

Optimal Control Applications and Methods

Volumn 21, Issue 3, 2000, Pages 125-135

  Sethi, Suresh P ^a   Zhang, Hanqin ^b   Zhang, Qing ^c  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; HIERARCHICAL SYSTEMS; PRODUCTION CONTROL;

SWITCHING MANIFOLD;

OPTIMAL CONTROL SYSTEMS;

EID: 0034187601     PISSN: 01432087     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1514(200005/06)21:3<125::AID-OCA666>3.0.CO;2-R     Document Type: Article

References (12)

1. Sethi SP. Some insights into near-optimal plans for stochastic manufacturing systems. In Mathematics of Stochastic Manufacturing Systems, Proceedings of the 1996 AMS-SIAM Summer Seminar in Applied Mathematics, Lectures in Applied Mathematics, vol. 33, Yin G, Zhang Q. (eds.). Providence, RI: American Mathematical Society: 1997; 287-315.
2. Gershwin S. Manufacturing Systems Engineering. Prentice-Hall: Englewood Cliffs, NJ, 1994.
3. Sethi SP, Zhang Q. Hierarchical Decision Making in Dynamic Stochastic Manufacturing Systems. Birkhäuser: Boston, 1994.
4. Sethi SP, Zhou XY. Optimal feedback controls in deterministic dynamic two-machine flowshops. Operations Research Letters 1996; 19:225-235.
5. Sethi SP, Zhou XY. Asymptotic optimal feedback controls in stochastic dynamic two-machine flowshops. In Recent Advances in Control and Optimization of Manufacturing Systems, Lecture Notes in Control and Information Sciences, vol. 214, Yin G, Zhang Q. (eds), Springer: New York, 1996; 147-180.
6. Connolly S. A real-time policy for performing setup changes in a manufacturing systems. Master Thesis, Operations Research Center, MIT, Cambridge, 1992.
7. Libosvar CM. Hierarchies in production management and control: a survey. Working Paper, LIDS-P-1734, Laboratory for Information and Decision Systems, MIT, 1988.
8. Perkins JR, Kumar PR. Optimal control of pull manufacturing systems. IEEE Transactions Automatic Control 1995; 40:2040-2051.
9. Sethi SP, Thompson GL. Optimal Control Theory. Martinus Nijhoff: Dordrecht, 1981.
10. Presman E, Sethi SP, Zhang H, Zhang Q. Optimality of zero-inventory policies for an unreliable manufacturing system producing two part types, Dynamics of Continuous, Discrete and Impulsive Systems 1998; 4:485-496.
11. Fleming WH, Soner HM. Controlled Markov Processes and Viscosity Solutions. Springer: New York, 1992.
12. Sethi SP, Zhang H, Zhang Q. Hierarchical production planning in dynamic stochastic manufacturing systems with long-run average cost: asymptotic optimality and error bounds. Journal of Mathematical Analysis and Applications 1997; 214:151-172.