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Optimal dynamic production and price for reliability-dependent imperfect production with inventory-level-dependent demand in uncertain environment

机译:可靠性依赖性不完全生产的最佳动态生产和价格,在不确定环境中具有库存级依赖性需求

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An inventory system for reliability-dependent imperfect production is introduced in uncertain environment. The demand rate depends on the stock quantity displayed in the store as well as the sales price. With the goal to realize profit maximization, an optimization problem is addressed to seek for the optimal joint dynamic pricing and production policy which are obtained by solving the optimization problem by Euler-Lagrange equation of optimal control theory. Here, initial selling price, holding cost, and raw material cost are taken as uncertain variables, and using uncertain expectation mathematics, the uncertain variables are converted into crisp value. The numerical results demonstrate the advantages of the joint dynamic one and further show the effects of different system parameters on the optimal dynamic policy and the maximal total profit.
机译:在不确定的环境中引入了可靠性依赖性不完全生产的库存系统。需求率取决于商店中显示的库存数量以及销售价格。通过实现利润最大化的目标,解决了优化问题,以寻求最佳的关节动态定价和生产政策,通过解决优化控制理论的欧拉拉格朗日方程来解决优化问题。在这里,初始销售价格,持有费用和原材料成本被视为不确定的变量,并且使用不确定的预期数学,不确定的变量被转换为酥脆值。数值结果证明了关节动态的优点,并进一步展示了不同系统参数对最佳动态政策和最大总利润的影响。

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