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Analysis of the Problem of Continuous-product Inventory Control under Deterministic Lead Time

机译：确定提前期下的连续产品库存控制问题分析

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摘要

Consideration was given to the control of the continuous-product inventory in the storage system delivering to the end consumers. In the system, the product is replenished at a deterministic lead time of duration obeying the volume of order. The system behavior is described by a regenerative random or deterministic process. The general task of control lies in determining the optimal time to place the replenishment order. Functionals of the mean specific income and mean specific costs were constructed, and a theorem of solution existence and uniqueness was given. For several variants of the model, explicit solutions of the problem of control under different inter-parameters relations were obtained. A number of examples of particular economic systems obeying the model under study were discussed. A procedure for seeking numerical parameters of the optimal control was analyzed in detail.
机译：考虑了对交付给最终消费者的存储系统中连续产品库存的控制。在系统中，产品按照确定的交货周期提前交货，并遵循订单量。系统行为由再生随机或确定性过程描述。控制的一般任务在于确定下达补货订单的最佳时间。构造了平均比收入和平均比成本的函数，并给出了解存在性和唯一性的一个定理。对于模型的几个变体，获得了不同参数间关系下控制问题的显式解。讨论了许多遵循所研究模型的特定经济系统的示例。详细分析了寻找最优控制数值参数的过程。

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