能力随机的海运集装箱收益管理超订模型

为解决基于收益管理的能力随机的海运集装箱舱位超订问题,运用概率论和最优化理论,建立了以期望总成本最小化为目标、能力随机的不考虑空箱调运的超订模型,讨论了随机运输能力离散和连续2种情况下如何确定集装箱舱位的最优超订水平.为解决空箱调运问题,建立了能力随机的考虑空箱调运的超订模型,并且证明在能力随机的情况下,考虑空箱调运时最优超订水平将降低.最后给出了1个算例,用建立的模型分别求解考虑与不考虑空箱调运时的最优超订水平,结果前者比后者的最优超订水平减少3标准箱.

Overbooking Model for Revenue Management of Ocean Shipping Containers under Stochastic Capacity

To solve the revenue management-based overbooking problem of ocean shipping container position under stochastic capacity,an overbooking model without considering empty container transportation under stochastic capacity was constructed by applying the probability theory and the optimization theory.In this model,expected total cost is taken as the optimization objective.In addition,it was investigated how to decide the optimal overbooking level of container position respectively for discrete and continuous probability distributions of transportation capacity.To solve the empty container transportation problem,an overbooking model considering empty container transportation under stochastic capacity was established,and it was proven that the optimal overbooking level declines under stochastic capacity if empty container transportation is considered.At last,a numerical example was given and the optimal overbooking level was calculated respectively with the two proposed models.The calculation shows that the optimal overbooking level with empty container transportation is 3 TEU(twenty-equivalent unit) less than that without empty container transportation.