多种易逝品的库存控制模型及动态定价被引量：12

Inventory control model and dynamic pricing with multi-perishable products

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摘要在不允许缺货和公共产能约束条件下,提出了一个多种易逝品连续时间库存控制模型,并研究了各种产品最优生产速度以及动态定价的问题.模型中,每种产品的易逝率因子均为随时间变化的任意正函数,且每种产品的需求是该产品价格的线性函数.通过采用连续时间最优控制理论以及非线性最优化方法,给出了每种产品的最优生产策略以及极大化收益.在公共产能约束条件下,比较了同时生产多种产品与单独生产一种产品最优定价以及极大化收益的差异,为企业合理规划生产,规避经营风险提供重要的指导. In this paper, a continuous time inventory control model on multiple perishable products is proposed to investigate the optimal production rates and the dynamic pricing of the products under no shortage and a common production capacity conditions. In the model, the rates of deterioration of perishable products are arbitrarily positive functions varying with time. In addition, the demand of each product is a linear function of its price. The optimal production policies and maximization profits are obtained by using the deterministic continuous time optimal control theory and nonlinear optimization techniques. Moreover, with the production capacity restraint, the differences of optimal pricing and maximization profit between the mode of simultane- ously producing multiple perishable products and only producing single perishable products are obtained. The results provide guiding significance for reasonable production planning and risk avoidance to enterprises.

作者李力

机构地区天津师范大学管理学院中国科学院科技政策与管理科学研究所

出处《系统工程学报》 CSCD 北大核心 2015年第3期289-296,共8页 Journal of Systems Engineering

基金国家自然科学基金资助项目(71273253 71271200)

关键词多种易逝品不允许缺货动态定价库存控制 multi-perishable products no shortage dynamic pricing inventory control

分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]

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