“…The berthing operation plan has been formulated in advance (see e.g., Zhang et al, 2016;Zhang et al, 2018); (2) Vessels sailing in the waterway at average speed (see e.g., Li and Jia, 2019); (3) All the check and test-related procedures and formalities have finished before arrival and departure times; (4) It is momentary behavior for a vessel to keep a vessel-following state (see e. g., Liu et al, 2021c); (5) Weather, obstructing navigation, emergency situations, failures of vessel schedules are not considered in this study. All resources are operating at a normal working status during the scheduling horizon (see e.g., Zhang et al, 2019;Zhang et al, 2022;Xia et al, 2021).…”