基于多类型产品到达的生产提前期的优化分析

A Study on Optimal Control of Lead Time with the Arrival of Multi-product Product Problem in Productive Lines

研究了一个考虑多类型顾客达到的排队模型,该模型中假设服务台对不同类型顾客的服务率是不同的,且服务时间服从负指数分布。利用该系统对单阶段的装配和加工过程进行建模,应用马尔可夫过程的状态空间方法和全概率分解技术,得到了该系统的稳态队长分布、平均等待时间和平均逗留时间。最后,提出了一个多目标优化的问题,利用评价函数法对模型的参数进行优化,,提出产品在生产线上最短生产提前期和最小加工成本的优化方案。

In this paper a new queueing system based on the arrival of multi-product for optimal design of single-stage assemblies is developed, in which the server has many kinds of styles with different service rate to different product. Service Times of manufacturing and assembly operations are exponentially distributed. By using the total probability decomposition and M arkov process method, Queue Length Distribution, the recursion expression of the equilibrium distribution and the mean waiting time are obtained. Then, we develop a multi-objective optimal control problem, in which the average lead time, the total operating costs of the system per period are minimized using evaluation function method.