Closed form models for dwell point locations in automated storage carousel systems

This research focuses on determining the optimal dwell point location in an automated storage carousel system (ASCS) to minimise the expected response time for incoming service requests (storages and retrievals). This can be achieved by modelling the problem as a minisum location problem on a line segment with two-dimensional existing facilities (demands) using a continuous approximation of the individual storage locations of the ASCS. Closed form solutions of the associated dwell point location problem have been provided for the two different cases used to model this problem. These two cases arise from the two possible different configurations of the ASCS parameters; the travel times in circumference and height.