Trucking companies deliver a large number of containers every day to container terminals at hub ports. Truck drivers for the delivery operation can experience long waiting times when they arrive at peak hours. This study proposes a scheduling method for appointments that considers the cost of trucks staying in the terminal, demurrage cost, container delivery cost, number of appointments allowed at each time window and block, and number of trucks available during each time window. Unlike previous studies, this study considers the effects of the appointments on the waiting time at the terminal when the appointment schedule is constructed. This paper introduces a mathematical formulation and a heuristic algorithm based on the Frank–Wolfe algorithm to solve the problem within a reasonable computational time. Numerical experiments are conducted to compare the proposed algorithm with the other heuristic approaches and analyze the effects of the appointments using empirical data. In addition, the impact of appointments by multiple trucking companies is examined.

中文翻译：

---

考虑到集装箱卡车对拥堵的影响，安排预约时间

货运公司每天都会向枢纽港口的集装箱码头运送大量集装箱。卡车司机在高峰时段到达目的地时会经历漫长的等待时间。这项研究提出了一种预约的调度方法，该方法考虑了停留在码头内的卡车成本，滞期费，集装箱运输成本，每个时间窗和区块允许的约会次数以及每个时间窗内可用卡车的数目。与以前的研究不同，本研究在构建约会时间表时考虑约会对终端等待时间的影响。本文介绍了一种基于Frank-Wolfe算法的数学公式和启发式算法，以在合理的计算时间内解决该问题。进行了数值实验，以将所提出的算法与其他启发式方法进行比较，并使用经验数据分析约会的效果。此外，还检查了多个货运公司任命的影响。