Abstract: Container liner shipping is an important backbone for international trade marine transportation of industry products and general consumer goods. It has the characteristics of numerous and scattered customers, many kinds of high value goods with frequent transportation and strong timeliness. In order to meet customers' transportation service requirements, shipping companies need to provide round-trip liner shipping services. They usually employ a certain number of containerships on the designed shipping route to visit each port of call punctually on a weekly basis. Due to the susceptibility to various uncertain factors such as bad weather, bad sea conditions and harsh route environment, the actual sailing speed of the containership in each leg often deviates from the planned one. This will not only change the fuel consumption of the containership in each leg, but also affect the voyage fuel cost and freight revenue. Therefore, it is of great practical significance to study the revenue optimization of container liner shipping considering the sailing speed deviation.

Key words: container liner shipping; sailing speed deviation; freight revenue; robust optimization; mixed integer non-linear programing model