本文選題：設備劣化　切入點：伽馬過程　出處：《哈爾濱工程大學學報》2017年06期

【摘要】：針對生產(chǎn)過程中由于設備劣化引起產(chǎn)品缺陷率增大以及顧客需求波動問題,構建了綜合考慮設備劣化和需求隨機的最優(yōu)生產(chǎn)周期模型。利用伽馬過程對上游生產(chǎn)單元的劣化過程進行建模,并假設當其劣化量達到中間某一水平時,生產(chǎn)活動從"受控"轉(zhuǎn)變?yōu)?失控"狀態(tài);以此為基礎,在假設下游需求隨機的條件下,以最小化單位產(chǎn)品的總成本為優(yōu)化目標建立了數(shù)學模型;借助數(shù)值實例演示了本模型的有效性,并對相關參數(shù)作了敏感性分析。分析結果表明:本文所提模型對于描述設備劣化程度對產(chǎn)品質(zhì)量的影響,降低企業(yè)運行成本(庫存、返工、維護等)有一定的指導意義。
[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.
【作者單位】： 同濟大學機械與能源工程學院;
【基金】：國家自然科學基金項目(71471135)
【分類號】：O211

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