抄録
This paper develops the optimal step toll scheme which is levied to bulk carriers for a queuing port. Arrival times of bulk carriers at the port will be rationally dispersed after pricing this toll scheme. Consequently, the queuing time at the anchorage to all bulk carriers will be rationally decreased. This paper also shows decisions of arrival time changes made by bulk carrier owners under the optimal step toll scheme. Based on these results, we find some bulk carriers that paid no toll under the optimal step toll scheme maintain the same arrival times at the anchorage as they did in the original non-toll equilibrium situation. New arrival times at the anchorage for other bulk carriers that paid the optimal step toll are postponed when compared with their original arrival times in the non-toll equilibrium situation.
