考慮設(shè)備劣化及隨機(jī)需求的最優(yōu)生產(chǎn)周期模型
發(fā)布時(shí)間:2018-04-01 21:17
本文選題:設(shè)備劣化 切入點(diǎn):伽馬過(guò)程 出處:《哈爾濱工程大學(xué)學(xué)報(bào)》2017年06期
【摘要】:針對(duì)生產(chǎn)過(guò)程中由于設(shè)備劣化引起產(chǎn)品缺陷率增大以及顧客需求波動(dòng)問(wèn)題,構(gòu)建了綜合考慮設(shè)備劣化和需求隨機(jī)的最優(yōu)生產(chǎn)周期模型。利用伽馬過(guò)程對(duì)上游生產(chǎn)單元的劣化過(guò)程進(jìn)行建模,并假設(shè)當(dāng)其劣化量達(dá)到中間某一水平時(shí),生產(chǎn)活動(dòng)從"受控"轉(zhuǎn)變?yōu)?失控"狀態(tài);以此為基礎(chǔ),在假設(shè)下游需求隨機(jī)的條件下,以最小化單位產(chǎn)品的總成本為優(yōu)化目標(biāo)建立了數(shù)學(xué)模型;借助數(shù)值實(shí)例演示了本模型的有效性,并對(duì)相關(guān)參數(shù)作了敏感性分析。分析結(jié)果表明:本文所提模型對(duì)于描述設(shè)備劣化程度對(duì)產(chǎn)品質(zhì)量的影響,降低企業(yè)運(yùn)行成本(庫(kù)存、返工、維護(hù)等)有一定的指導(dǎo)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(jì)大學(xué)機(jī)械與能源工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金項(xiàng)目(71471135)
【分類號(hào)】:O211
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