Abstract
AbstractA stochastic model has been developed for a CVS (Computer‐controlled Vehicle System) station with multiple parallel berths. In this model to study the effects of the number of berths on the behavior of a station, the following simplification is made in contrast to the conventional single‐berth station models. That is, loading and unloading times for each berth are assumed to follow the same exponential distribution regardless of the vehicle type, and the vehicle departure condition does not depend on the vehicle either. This type of model is formulated as a Markov renewal process and analyzed. As a result we have clarified the fundamental relationships between the number of berths and measures for evaluating a station such as the expected interval time of entrances, the departure rate, the entrance factor and the utilization factor of berths. Also, by examining the asymptotic characteristics of the expected interval time of entrances we have found the fundamental differences between a single berth station and a multiberth station, we have shown trade‐offs between the entrance factor and the departure rate and we have investigated the implications of increasing the number of berths. On the other hand, by simulations with a normal loading and unloading time distribution, we examined the effectiveness of the results of this paper for which an exponential distribution was assumed for the loading and unloading times.
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