论文部分内容阅读
考虑了一个非立即变质品的订购、定价与保鲜技术投资联合决策问题,其中产品的需求依赖于销售价格,变质率随时间变化,系统不允许缺货.此外,产品的时变变质率和保鲜期可以通过保鲜技术的投资得到控制,并采用一般形式的资本投资回报率构建模型.目的是决定最优的补货、定价和保鲜技术投资策略(包括是否投资和投资多少)以最大化系统的平均利润.证明了对于给定的定价和保鲜技术投资策略,最优补货策略唯一存在.在此基础上给出了一个寻找模型最优解的多阶段迭代求解算法.最后通过数值算例展示了模型和算法的应用,进一步采用数值方法对模型的数学性质进行了探讨,并对参数的灵敏度进行了分析.结果显示:当订购成本和产品购买成本较小或库存持有成本和产品初始保鲜期较大时,最优保鲜技术投资将为零,即不投资保鲜技术对系统最优.
Consider a joint non-immediate deterioration of goods ordering, pricing and storage technology investment joint decision-making, in which the demand for products depends on the selling price, the deterioration rate changes over time, the system does not allow out-of-stock.In addition, the product of the time-varying rate of deterioration and preservation The period can be controlled through investments in fresh-keeping techniques and a general form of ROI modeling is constructed to determine the optimal technology strategy for replenishment, pricing and preservation (including investment and investment) to maximize system The average profit.It is proved that the optimal replenishment strategy exists only for a given investment strategy of pricing and preservation technology.On the basis of this, a multi-stage iterative solution algorithm is proposed to find the optimal solution of the model.Finally, The mathematical model of the model is further discussed by numerical method and the sensitivity of the model is analyzed.The results show that when the order cost and the purchase cost of the product are small or the cost of inventory holding and the initial preservation of the product Larger period, the optimal preservation technology investment will be zero, that is, no investment preservation technology on the system optimal.