CSPS model: Look-ahead controls and physics

This paper reviews look-ahead controls for a Conveyor-Serviced Production Station (CSPS) model, clarifies the structure of effective control (operating) policies, and gives a physical theory on look-ahead control and loss system. First, seven operating policies for the CSPS model are analyzed and compared on the mean delay-time. The proposed Reserve-dependent and Sequential Range Policy (RdSRP) is optimal among any stationary policies. Next, the mean number of overflows at CSPS is analytically obtained for the policy SRP, a special case of RdSRP. The linear relation of this and mean delay-time is found (Matsui, M., Shingu, T. and Makabe, H., An analysis of conveyor-serviced production station by queueing theory. Journal of Japan Industrial Management Association, 1978, 28, 375–386 (in Japanese).), and is generalized by sample path method.

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