加工過程導致品質耗損之串聯生產系統

Tandem Production Systems in which Product Quality Deteriorates During Manufacturing Processing

吳紹愷(Shao-Kai Wu)

指導教授 ： 張國華

共同指導教授 ： 楊康宏(Kang-Hung Yang)

中原大學/電機資訊學院/工業與系統工程研究所/碩士(2021年)

https://doi.org/10.6840/cycu202100944

摘要

對於製造業而言，工廠內的產線及加工品的品質，是非常核心的管理要素，掌握產品的品質並確保生產系統正常運作，是管理者們的目的。要對生產線的產品品質進行控管，我們需要以建模的方式進行研究。
加工品的品質對於許多產業都是產線的核心指標，例如半導體加工產業，然而在加工過程中也會導致產品品質的降低，其帶來的成本是不可忽略的。本研究考慮一兩站串聯之生產系統，其中加工過程導致物品品質耗損的原因歸納為兩種，第一為加工過程的等待時間，第二為機台損耗的情形。對於加工過程的等待時間所造成品質之影響，本研究加入累進負品質(Cumulative negative quality, CNQ)的函數，並藉由它估計系統物品的最終良率。藉由連續時間的馬可夫鏈(Continuous Time Markov Chain, CTMC)系統，我們設置一個串聯模型。透過平衡等式計算出系統內每一個狀態的極限機率(Corresponding limiting probabilities)，並以馬可夫鏈之吸態(Absorbing state)時間估計，並求得該系統在穩定狀態下的系統良率以及成本。

關鍵字

加工品質 ； 等候線模型 ； 吸態時間

並列摘要

The quality of product during processing in a production lines is a significant management issue in production. In this study, we consider a two-station production system in which the quality of the product deteriorates during processing. We use cumulative negative quality(CNQ) to model the quality of the product depending its sojourn time in the system. We also consider that the deterioration of machine tool. By utilizing continuous time Markov chain(CTMC), firstly we obtain the corresponding limiting probabilities; Secondly, we use the absorbing time to estimate the sojourn time of a product during processing. By applying CNQ, we then are able to estimate the yield rate of a product as well as the cost in such system.

並列關鍵字

Quality during processing ； Queueing models ； Absorbing time

參考文獻

參考文獻

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