加工過程會導致產品品質惡化之生產系統

Production Systems in which Product Quality Deteriorates During Manufacturing Processing

溫椀婷(Wan-Ting Wen)

指導教授 ： 張國華

中原大學/電機資訊學院/工業與系統工程研究所/碩士(2018年)

https://doi.org/10.6840/cycu201800727

摘要

製造業一直注重於產品的品質與交期，若要研究它們，需以建模方式進行研究。利用等候線模型建立生產系統，是很常見的方式。通常等候線系統只會用於計算交期與產品的庫存量，但有時在加工過程中等待的時間會影響產品的品質，因此，我們考慮利用等候線系統將加工時間影響品質的現象考慮進去。
在加工過程中會影響產品品質的原因有兩種，分別為等待的時間與機臺狀態。本研究利用等候線模型建立產品品質會在加工過程中惡化之系統，機臺狀態變化會影響加工時間，以及機臺狀態會對品質造成衝擊，針對機臺狀態改變方式，系統一為機臺狀態在加工過程中隨時改變，系統二為加工完一個產品後機臺狀態才會改變，系統三採取系統二的機臺狀態改變方式，還考慮當輪到產品接受機臺加工時，機臺狀態對產品品質所直接造成的衝擊，本研究的目的為估計產品的良率，應用矩陣幾何方法(Matrix Geometric Method, MGM)，計算系統相對應的極限機率，再利用吸態(Absorbing state)時間分析，估計出產品的良率，因此，運用此三種系統，可估計當產品到達生產線後，產品接受完加工的為良品的機率。
更新機臺狀態需要時間，無法立即更換，本研究在系統中，加入了更新機臺狀態所需的時間，運用系統三的運作模式，可估計產品的良率，若估計出來的產良率，低於標準值時，將採取預防性措施，對產品進行監控，當輪到產品接受機臺加工時，將機臺狀態更新。

關鍵字

等候線系統 ； 吸態時間 ； 馬可夫鏈 ； 連續時間馬可夫鏈 ； 產品品質 ； 生產系統 ； 品質惡化

並列摘要

The manufacturing industry has always focused on the quality and delivery of products. It is a common way to establish a production system using the queueing model. Usually, the queueing system is only used to calculate the delivery time and product inventory. However, sometimes the waiting time will affect the quality of the product. Therefore, consider using the queueing system to take into account the phenomenon that the processing time affects the quality.
This study considers a system in which product quality deteriorates during the processing. There are two reasons why the quality of the product will be affected during the processing, which is the waiting time and the status of the machine. For the state change mode of the machine, Case 1 change status of machine during processing.
Case 2 change status of the machine when product is completed Case 3 adopts status change model of the Case2, also consider that the status of the machine directly impact on the product quality. The purpose of this study is to estimate the yield of the product. we use the Matrix Geometric Method to calculate the corresponding limiting probabilities of the system and the yield of the product will be estimated by analyzing of the absorption time. Therefore, these three systems can be used to estimate the yield of the product after it has been processed when it reaches the production line.
It takes time to update the status of the machine and can’t be update immediately. We consider that the system is added to update time the status of the machine. Using case 3, the yield of the product can be estimated. If the estimated yield is below the standard value, preventive measures will be taken. The product is monitored until the turn of the product to accept the machine processing, the machine status is updated.

並列關鍵字

queueing system ； absorbing time ； markov chain ； continuous time markov chain ； product quality ； production system ； quality deteriorating

參考文獻

[1]. Akella, R. and P. Kumar (1986). "Optimal control of production rate in a failure prone manufacturing system." IEEE Transactions on Automatic Control 31(2): 116-126.

[2]. Akkerman, R., D. P. Van Donk and G. Gaalman (2007). "Influence of capacity- and time-constrained intermediate storage in two-stage food production systems." International Journal of Production Research 45(13): 2955-2973.

[3]. Angius, A., M. Colledani, L. Silipo and A. Yemane (2016). "Impact of Preventive Maintenance on the Service Level of Multi-stage Manufacturing Systems with Degrading Machines." IFAC-PapersOnLine 49(12): 568-573.

[4]. Bouslah, B., A. Gharbi and R. Pellerin (2018). "Joint production, quality and maintenance control of a two-machine line subject to operation-dependent and quality-dependent failures." International Journal of Production Economics 195: 210-226.

[5]. Bouslah, B., A. Gharbi and R. Pellerin (2016). "Integrated production, sampling quality control and maintenance of deteriorating production systems with AOQL constraint." Omega 61: 110-126.