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为寻求一定运输需求和运营条件下，航线上最优的集装箱班轮运输发船间隔及相关决策量，使资金极为密集的航运业运行更优，以一定营运期内航线上班轮运营利润为目标，以船舶载重能力、各类箱型箱位数和港口装卸效率为约束建立班轮运营经济模型.根据班轮航线各港间各类箱型箱量的关系，详细研究运营系统中船舶资本成本、营运成本，以及包括燃料费、装卸费、靠泊费、港口使用费、船员津贴的航次变动成本的解析式，提出调和平均方法的港口综合装卸效率，以及各航段保留一定燃油量、交货时实现利润的条件下盈利航速的解，兼顾实现班轮各航段船天利润和运营总利润两方面最优.结合隐函数求导和函数极值方法求出模型决策变量的最优解，并以实例说明模型的有效性.

Container Liner Operation Economic Model and the Departure Interval Decision-making

To seek the optimal departure interval of container liner operation and related decision variables and find a more economic way for the shipping industry with capital intensive nature,this paper proposes a liner operation economic model.The object is maximal profit from some liner route in a certain operation period and the restrictions are ship load capacity,container quantity of each type and port efficiency of loading and unloading.Based on the container quantity relations among ports on the line,the paper thoroughly analyzes the ship capital cost,operation cost,and voyage variable cost including fuel cost,cargo handling fee,berthing fee,port charges and crew subsidy.It puts forward the harmonic mean method to calculate integrated handling efficiency of different container types at port.And the solution of profit-speed with the conditions keeps a certain amount of fuel on each voyage section and realizes profit at the time of delivery.Therefore,it realizes the consideration of maximizing both daily profit of each voyage section and the total operating profit.It then gets the optimal solution of the decision-making variable by combining implicit function derivation and extreme value solving method of functions,and shows the effectiveness of the model via an example.