In 2016, the construction of the New Suez Canal was completed, enabling most large-size vessels to pass through and causing more ships to queue into the canal. As the queueing problem at the entrance of the canal was anticipated to be serious, an optimal non-queueing toll scheme was previously established to eliminate the queueing phenomenon at the anchorage of the canal. However, no information about each ship’s arrival time adjustment under the optimal non-queueing toll scheme is available from the previous literature. To solve this problem, we derive a series of mathematical formulae for each ship’s arrival time, length of queuing time and entry time before, and after, implementing the optimal non-queueing toll scheme. The arrival time adjustments, which enable ships to enter the canal without queueing, could then be obtained. These results enable the Suez Canal authorities to draw up the ship’s arrival timetable under the optimal non-queueing toll scheme, so that the captain could follow to enter the canal. The above information that we provide would be conducive to the management decision for the canal authorities to implement such a toll scheme. Once a tolled ship could enter the canal at the scheduled time without queueing, the ship owner could accurately control the sailing schedule, and the use of the ship could be more efficient.

中文翻译：

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消除新苏伊士运河的排队时间：根据最优非排队收费方案预测船舶到达时间的调整

2016年，新苏伊士运河的建设完成，使大多数大型船只能够通过，并导致更多船只排队进入运河。由于预计运河入口处的排队问题很严重，因此事先建立了一种最佳的非排队收费方案，以消除在运河锚地的排队现象。但是，根据先前的文献，没有关于在最佳非排队收费方案下每艘船到达时间调整的信息。为了解决这个问题，我们针对实施最优非排队收费方案前后的每艘船的到达时间，排队时间长度和进入时间推导出了一系列数学公式。然后可以获取到达时间调整，使船只无需排队即可进入运河。这些结果使苏伊士运河当局能够根据最佳非排队收费方案制定船舶的到达时间表，以便船长可以跟随其进入运河。我们提供的上述信息将有利于运河当局实施这种收费方案的管理决策。一旦收费船能够在排定的时间进入运河而无需排队，船东就可以准确地控制航行时间表，从而使船的使用效率更高。