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  • 學位論文

探討多樣產品生產系統含部分委外及報廢品之最佳共同週期時間和配送策略與含當機、部分委外和報廢品之最佳生產時間

Determining Optimal Common Cycle Time and Shipment Policy for a Multi-Item Manufacturing System with Outsourcing and Scrap, and Manufacturing Run Time with Breakdown, Outsourcing and Scrap

指導教授 : 邱元錫
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摘要


本研究探討多樣產品生產系統含部分委外及報廢品之最佳共同週期和配送策略與含當機、部分委外和報廢品之最佳生產時間。上述兩種模式皆假設在不完美生產系統下,在生產階段時有不良品的產出,且不良品因重工成本過高或無法修復,則全數皆列為報廢品。為了更符合實際生產狀況,本研究將延伸傳統EPQ模型,並建立數學模式。 本研究針對上述兩種假設情況建立數學模式:(1)在多樣產品不完美生產系統下,製造端在面臨訂單需求過量、不良品產出率過高或為了提高生產效率等因素時,委外生產是一種可行的方案,且同時考慮邊生產邊進行配送的連續配送與多次定量配送兩種模式,並使用微分與海珊矩陣(Hessian Matrix),求解出最佳共同週期與配送次數策略;(2)在實際生產環境中,生產設備可能因人為操作失誤或機器過熱等因素發生故障,在單一產品不完美生產系統下,假設機器可能於生產階段中發生隨機性當機,且發生當機情況時,採用AR(Abort/Resume)模式,即為機器修復完畢後繼續生產未完成的批量,同時考慮無發生當機,機器順利完成該生產批量之情況,並採用連續配送策略,使用積分與相關演算法整合此模式情況,求得最佳生產時間。 最後針對此兩種數學模式提出數值實例,並針對參數值進行敏感度分析,期望本研究的數學模式能提供業界作為決策上的參考。

並列摘要


This study determines the optimal common cycle time and shipment policy for a multi-item manufacturing system with outsourcing and scrap, and manufacturing run time with breakdown, outsourcing and scrap. Both of the above models assume that under the imperfect production system, the production of defective products occurs during the production stage, and defective products are all classified as scrapped items because either the rework costs are too high or they cannot be repaired. In order to cope with actual production conditions, this study extends the traditional EPQ model and establishes mathematical models for the aforementioned problems. The following are two mathematical models of this study: (1) Model one deals with multi-item manufacturing systems considering outsourcing production strategy, it is an alternative for situations like when the demand exceeds the supply, or when defective rate is too high, or aiming to increase production efficiency, etc.. Two delivery policies namely, continuous and multiple issuing policies, are considered in this study. Optimization techniques are used to determine the optimal common cycle time and number of deliveries for the models. (2) Model two deals with single product manufacturing systems considering outsourcing production strategy and random machine breakdown situation, and under abort/resume (AR) inventory control policy. Integration and search algorithm are used to solve the optimal production uptime for this model. Finally, numerical examples with sensitivity analyses are given to demonstrate practical usages of our obtained result.

參考文獻


參考文獻
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[4] Chiu, Y-S. Peter, Chen, K.K., Cheng, F.T., Wu, M.F., “Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown”, Computers and Mathematics with Applications, Vol. 59 (2), pp.919-932 (2010).

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