Optimal feedback production for a two-level supply chain

International Journal of Production Economics

Volumn 113, Issue 2, 2008, Pages 619-625

  Chan, Chi Kin ^a   Lee, H W J ^a   Wong, K H ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

Supply chain management; Time delayed optimal control

Indexed keywords

APPROXIMATION THEORY; FEEDBACK; PROBLEM SOLVING; PRODUCTION ENGINEERING; STRATEGIC PLANNING;

PRODUCTION RATE; TIME DELAYED OPTIMAL CONTROL;

SUPPLY CHAIN MANAGEMENT;

EID: 43549118136     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2007.12.012     Document Type: Article

References (23)

1. Bellman R., and Cooke K.L. Differential-Difference Equations (1963), Academic Press, New York
2. Forrester J.W. Industrial Dynamics (1961), MIT Press, Cambridge, MA
3. Forrester J.W. World Dynamics (1973), MIT Press, Cambridge, MA
4. Hafrez K., Griffiths M., Griffiths J., and Naim M.M. Systems design of two-echelon steel industry supply chain. International Journal of Production Economics 45 (1996) 121-130
5. Hollihan J.B. International supply chain management. International Journal of Physical Distribution and Materials 17 2 (1987) 51-66
6. Kaji K., and Wong K.H. Nonlinearly constrained time-delayed optimal control problems. Journal of Optimization Theory & Applications 82 2 (1994) 295-313
7. Macdonald N. Time Lags in Biological Models (1978), Springer, New York
8. Marshall J.E. Control of Time Delay Systems (1979), Peter Peregrinus, Stevenage, UK
9. Niculescc S.L., Verriest E.L., Dugard L., and Dion J.M. Stability and robust stability of time-delay system a guided tour. In: Dugard L., and Verriest E.I. (Eds). Stability and Control of Time Delay Systems, LNCIS 228 (1997), Springer, London 1-71
10. Riddalls C.E., and Bennett S. Modelling the dynamics of supply chains. International Journal of Systems Science 31 8 (2000) 969-976
11. Riddalls C.E., and Bennett S. The stability of supply chains. International Journal of Production Research 40 2 (2002) 459-475
12. Sethi S.P., Yan H., Zhang H., and Zhou J. Information updated supply chain with service-level constraints. Journal of Industrial and Management Optimization 4 1 (2005) 513-532
13. Simon H.A. On the application of servomechanism theory in the study of production control. Econometrica 20 (1952) 247-268
14. Sterman J.D. Testing behavioural simulation models by direct experiment. Management Science 33 12 (1987) 1572-1592
15. Sterman J.D. Modelling managerial behaviour; misinterpretations of feedback in a dynamic decision-making experiment. Management Science 35 3 (1989) 321-339
16. Teo K.L., Wong K.H., and Clements D.J. Optimal control computation for linear time-lag systems with linear terminal constraints. Journal of Optimization Theory and Applications 44 3 (1984) 509-526
17. Towill D.R. Supply chain dynamics. International Journal of Computer Integrated Manufacturing 4 4 (1991) 197-208
18. Towill D.R. Supply chain dynamics the change engineering challenge of the mid 1990's. Proceedings of the Institution of Mechanical Engineers 206 (1992) 233-245
19. Towill D.R., and Del Vecchio A. The application of filter theory to the study of supply chain dynamics. Production, Planning and Control 5 1 (1994) 82-96
20. Wikner J., Towill D.R., and Niam M.M. Smoothing supply chain dynamics. International Journal of Production Economics 22 (1991) 231-248
21. Wong K.H., Clements D.J., and Teo K.L. Optimal control computation for nonlinear systems. Journal of Optimization Theory & Applications 47 1 (1985) 91-107
22. Wong K.H., Jennings L.S., and Benyah F. Control parametrization method for free planning time optimal control problems with time-delayed arguments. Journal of Nonlinear Analysis, Series A 47 (2001) 5679-5689
23. Wong K.H., Chan C.K., and Lee H.W.J. Optimal feedback production for a single-echelon supply chain. Discrete and Continuous Dynamical System-Series B 6 6 (2006) 1431-1444