考虑设备劣化及随机需求的最优生产周期模型

发布时间：2018-04-01 21:17

本文选题：设备劣化　切入点：伽马过程　出处：《哈尔滨工程大学学报》2017年06期

【摘要】：针对生产过程中由于设备劣化引起产品缺陷率增大以及顾客需求波动问题,构建了综合考虑设备劣化和需求随机的最优生产周期模型。利用伽马过程对上游生产单元的劣化过程进行建模,并假设当其劣化量达到中间某一水平时,生产活动从"受控"转变为"失控"状态;以此为基础,在假设下游需求随机的条件下,以最小化单位产品的总成本为优化目标建立了数学模型;借助数值实例演示了本模型的有效性,并对相关参数作了敏感性分析。分析结果表明:本文所提模型对于描述设备劣化程度对产品质量的影响,降低企业运行成本(库存、返工、维护等)有一定的指导意义。
[Abstract]:In view of the problem of product defect rate increasing and customer demand fluctuating due to equipment deterioration in production process, An optimal production cycle model considering equipment deterioration and stochastic demand is constructed. The degradation process of upstream production units is modeled by gamma process, and it is assumed that when the deterioration reaches a certain intermediate level, On the basis of changing production activity from "controlled" to "out of control", a mathematical model is established under the assumption of stochastic downstream demand, with the objective of minimizing the total cost of unit product as the optimization objective. The validity of the model is demonstrated by a numerical example, and the sensitivity analysis of related parameters is made. The results show that the model proposed in this paper can describe the influence of equipment deterioration degree on product quality and reduce the operation cost (inventory). Rework, maintenance, etc.) has certain guiding significance.
【作者单位】：同济大学机械与能源工程学院;
【基金】：国家自然科学基金项目(71471135)
【分类号】：O211

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