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中文摘要：
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二口口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．
英文摘要：
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.
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How does oil market uncertainty interact with other markets? An empirical analysis of implied volati
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