Multistage Manufacturing System (MMS):
LQGP Problem Example
MMS References
- [AkelKum86] R. Akella and P. R. Kumar, ``Optimal control of
production rate in a failure prone manufacturing system,''
IEEE Trans. Autom. Control, vol. 31, pp. 116-126, Feb. 1986.
- [TBKum88] T. Bielecki and P. R. Kumar, ``Optimality of
zero-inventory policies for unreliable manufacturing systems,''
Operations Research, vol. 36, pp. 532-541, July-Aug. 1988.
- [Boukas90] E. K. Boukas and A. Haurie, ``Manufacturing flow control
and preventive maintenance: A stochastic control approach,''
IEEE Trans. Autom. Control, vol. 35, pp. 1024-1031, Sept. 1990.
- [Boukas96] E. K. Boukas and H. Yang, ``Optimal control of
manufacturing flow and preventive maintenance,'' IEEE Trans. Autom.
Control, vol. 41, pp. 881-885, June 1996.
- [D-G82] C. Dupont-Gatelmand,
``A survey of flexible manufacturing systems,''
J. Manufacturing Systems, vol. 1, 1, pp. 1-16, 1982.
- [Hall83] R. W. Hall, Zero Inventories, Dow Jones-Irwin,
Homewood, Illinois, 1983.
- [MB89] F. B. Hanson and D. Ryan,
``Mean and quasi-deterministic equivalence for linear stochastic
dynamics,'' Math. Biosci., vol. 93, pp. 1-14, 1989.
- [KimGer83] J. Kimemia and S. B. Gershwin,
``An algorithm for the computer control of a flexible manufacturing
system,'' IIE Trans., vol. 15, pp. 353-362, Dec. 1983
- [Mariton90] M. Mariton, Jump Linear Systems in Automatic
Control, Marcel Dekker, New York, 1990.
- [NaHa93] K. Naimipour and F. B. Hanson, ``Numerical convergence
for the Bellman equation of stochastic optimal control with quadratic
costs and constraints,'' Dynamics and Control, vol. 3,
pp. 237-259, 1993.
- [ACC97] J. J. Westman and F. B. Hanson, ``The LQGP Problem:
A Manufacturing Application,'' submitted to the Proc. 1997 American
Control Conference, Albuquerque, NM, 12 pages in ms.
- [Wonham70] W. M. Wonham, ``Random differential equations in control
theory,'' in Probabilistic Methods in Applied Mathematics, vol. 2,
edited by A. T. Bharucha-Reid, Academic Press, New York, pp. 131-212, 1970.
Web Source: http://www.math.uic.edu/~hanson/SC96/MMS_Refs.html
Email Comments or Questions to
hanson@uic.edu
or
jwestman@math.uic.edu