论文标题
通过各种原理，堆积股票依赖的损坏物品的最佳生产
Optimum Production for a heaped stock dependent breakable item through variational principle
论文作者
论文摘要
脆弱项目的破损率取决于堆积物水平的累积应力。因此，破裂率可以视为库存变量的依赖参数。单位生产成本是生产率的函数，也取决于原材料成本，开发成本和磨损成本。假定成本被认为是非线性的，取决于时间。这里考虑了在有限时间范围内脆弱项目的最佳控制问题。由收入，生产和持有成本组成的利润功能被表达为固定决赛时间和固定状态系统（参见Naidu（2000））最佳控制问题，并具有有限的时间范围。这里的生产率未知，被认为是控制变量，库存水平被视为状态变量。它的配制是为了优化生产率，以使总利润最高。作为特定情况，对模型进行评估或没有损坏。通过使用常规变分原理以及非线性优化技术降低梯度方法（Lingo 12.0）来解决这些模型。最佳结果在数值和图形上都被说明。提出了一些关于破裂系数的敏感性分析。
Breakability rate of fragile item depends on the accumulated stress of heaped stock level. So breakablility rate can be considered as dependent parameter of stock variable. The unit production cost is a function of production rate and also dependent on raw material cost, development cost and wear-tear cost. The holding cost is assumed to be non-linear, dependent on time. Here optimal control problem for a fragile item under finite time horizon is considered. The profit function which consists of revenue, production and holding costs is formulated as a Fixed-Final Time and Fixed State System(cf. Naidu (2000)) optimal control problem with finite time horizon. Here production rate is unknown and considered as a control variable and stock level is taken as a state variable. It is formulated to optimize the production rate so that total profit is maximum. As particular cases, models are evaluated with and without breakability. The models are solved by using conventional Variational Principle along with the non-linear optimization technique-Generalised Reduced Gradient Method (LINGO 12.0). The optimum results are illustrated both numerically and graphically. Some sensitivity analysis on breakability coefficient are presented.
