Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/8907
Title: Optimal feedback production for a two-level supply chain
Authors: Chan, CK 
Lee, HWJ 
Wong, KH
Keywords: Supply chain management
Time-delayed optimal control
Issue Date: 2008
Publisher: Elsevier
Source: International journal of production economics, 2008, v. 113, no. 2, p. 619-625 How to cite?
Journal: International journal of production economics 
Abstract: The dynamics of a supply chain has been modelled by several authors, yet very few attempts have been made to find the vendor's optimal production policy when facing such dynamics. In this paper, we consider a two-level supply chain. We first model the dynamics of the retailer's problem as an infinite-horizon time-delayed control problem. By approximating the time interval [0,∞) by [0,Tf], we obtain an approximated problem (P(Tf)) for the retailer, which can be solved easily by the control parametrization. Next, we extend this model to solving the manufacturer's problem. By assuming that the manufacturer has full knowledge of his demand throughout the time interval [0,Tf], which is equal to the retailer's optimal production rate in this time interval, he can solve his approximated problem over(P, -) (Tf) to find his optimal production rate throughout [0,Tf]. Several examples have been solved to illustrate the efficiency of the method.
URI: http://hdl.handle.net/10397/8907
ISSN: 0925-5273
DOI: 10.1016/j.ijpe.2007.12.012
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