Optimal vessel speed and fleet size for industrial shipping services under the emission control area regulation
Optimal vessel speed and fleet size for industrial shipping services under the emission control area regulation
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DOI：
10.1016/j.trc.2019.05.038
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
Dian Sheng;Q. Meng;Zhi-Chun Li
中科院分区：
文献类型：
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作者：
Dian Sheng;Q. Meng;Zhi-Chun Li
本研究的目的是确定最佳的船舶速度和船队规模的工业航运服务通过排放控制区（ECA）的操作。为符合ECA规例，工业航运服务营运商可调整其船只速度及船队规模，以尽量减少年度船队成本，包括船队总营运成本及在途货物存货成本。建立了一个确定最优船速和船队规模的混合整数凸成本最小化模型，其中船速为连续决策变量，船队规模为整数决策变量.通过放宽车队规模变量的整数限制，确定了所开发模型的解析最优解。结果表明，如何在途货物库存成本可以发挥作用，在改变的方式，确定最佳船舶速度。我们还证明了最小的年度车队成本可以通过简单地比较两个候选的解析解。数值研究进行了调查的经济和环境影响的ECA规则对几个代表性的工业航运服务。还提供了建议，在不同的情况下，适当的模型选择的船队规模。
This study aims to determine the optimal vessel speed and ship fleet size for an industrial shipping service operating through the emission control areas (ECAs). To comply with the ECA regulation, the industrial shipping service operator can adjust its vessel speeds and fleet size to minimize the annual fleet cost, which includes the total fleet operating cost and in-transit cargo inventory cost. A mixed-integer convex cost-minimization model is developed for the determination of optimal vessel speeds and fleet size, in which the vessel speeds are continuous decision variables and the fleet size is an integer decision variable. The analytical optimal solution of the developed model is identified by relaxing the integer restriction of the fleet size variable. It is shown that how the in-transit cargo inventory cost can play a role in changing the way that the optimal vessel speed is identified. We also demonstrate that the minimal annual fleet cost could be attained by simply comparing two candidate analytical solutions. Numerical studies are carried out to investigate the economic and environmental impacts of the ECA regulation on several representative industrial shipping services. Recommendations are also provided on the proper modeling choice of fleet size in different contexts.