摘要
From the mathematical point of view,the flexible inventory control model is proved in the practical problem application and the rationality of the capacity parameter selection and calculation.The purpose is to actively respond to demand fluctuations when there is a demand forecast error or a missing part of the demand information,and to avoid the risk of passive variable demand forecasting to set the immutable inventory capacity.At the same time,the game is controlled by the flexible and variable inventory control strategy and the customer’s willingness to demand.The paper mainly studies the influence of the setting of capacity parameters on the booking-limit decision and its benefits under the control of flexible space with variable total capacity.Through the two trends of capacity increase flexibility and capacity reduction flexibility in the flexible inventory control model,the mathematical performance and marginal utility methods are introduced to change the performance of the booking-limit control decision model under different scenarios.The correlation analysis between the capacity limit level and the return under the optimal Bookinglimit decision,and the above two flexibility parameters are obtained.
灵活舱位控制模型中关于灵活度参数的选取均基于假设进行选取,从数理角度对容量参数选取合理性给予证明使得模型更符合实际问题情景。当存在需求预测误差或需求信息部分缺失时,合理的灵活度参数能够主动应对需求波动,规避被动依赖需求预测设定不可变舱位容量所带来的风险。本文主要研究总容量可变的灵活舱位控制下,容量参数的设置对预定限制决策及其收益的影响。通过灵活舱位控制模型中的容量增加灵活度、容量减少灵活度两个变化趋势,引入数理证明及边际效用的方法对预定限制舱位控制决策模型在不同情景下的性能变化。得出最优预定限制决策下的容量限制水平及收益与上述两种灵活度参数的相关性分析。