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Mathematical Model with Simulation to Find the Optimal Batch Size for a Supply Chain System

整合數學模式與系統模擬以求得供應鏈系統最佳批量大小之研究

摘要


在供應鏈系統中,批量大小的決定,對於企業的存貨狀況、營運成本與服務水準有著決定性的影響。本研究以最小化供應鏈系統總成本為目標,提出一套決定供應鏈系統成員批量大小的方法,並探討在多階層情況下供應鏈系統批量大小分析與決策的方法。本研究在假設原料製造商與產品製造商在有限的生產速率與配送速率,同時固定產品需求速率之下,希望能提出一利用數學模式來求得整體供應鏈批量大小的可能最佳解後並配合模擬方法來求得真正符合實際公司運作的成本最佳解的程序。在此程序中,先利用數學模式求解出供應鏈系統中成員廠商的(1)採購運輸批量;(2)製造生產批量;(3)配送運輸批量。之後再配合系統模擬將數學模式求解出的數據輸入系統中,加入系統內的生產時間、運送時間與顧客需求等等的各項變異。此方法的目標在取得供應鏈成員與系統在求解的批量大小情況下,其批量大小的修正與相關企業決策的訂定。同時利用此方法來觀察成本、服務水準的變化狀況,以提供企業執行供應鏈管理決策。在實證研究方面,本文最後將針對紡織成衣產業供應鏈系統來進行實例驗證,先以我們所提出的數學模式來求得最佳解,之後再建置出一個包含上述參數的模擬系統模型,利用模型的建立與不同情境模式的模擬,能夠快速簡單的尋找到成本低、效益高且近似現實情況的分析結果與參考決策來證明此程序及模式的可行性。

並列摘要


Batch size is an important issue in a supply chain system. It affects stock, cost, and service quality. This paper presents a batch-size decision method to determine the optimal batch size for a supply chain system. The goal of this method is to minimize the total cost of a supply chain at a reasonable service level. The proposed method first applies a mathematical model to finding the possible solutions and then uses a simulation tool to model the real-world situation. Three major research variables are involved in the mathematical model: (1) materials ordering batch size, (2) production batch size, and (3) product distribution batch size. At the simulation phase, three performance indicators-operational cost, system total cost, and service level-are used to evaluate whether the tuned variables fit the best solution. A real case of a garment supply chain is presented to evaluate the performance of the method. The results show the effectiveness of our method.

參考文獻


Beamon, B. M.(1998).Supply chain design and analysis: Models and methods.International Journal of Production Economics.55,281-294.
Diponegoro, A.,B. R. Sarker(2002).Determining manufacturing batch sizes for a lumpy delivery system with trend demand.International Journal of Production Economics.77,131-143.
Hill, R. M.(2000).On optimal two-stage lot sizing and inventory hatching policies.International Journal of Production Economics.66,149-158.
Jansen, D. R.,A. van Weert, A. J. M. Beulens,R. B. M. Huirne(2001).Simulation model of multi-compartment distribution in the catering supply chain.European Journal of Operational Research.133,210-224.
Kim, D. S.(1999).Optimal two-stage lot sizing and inventory hatching policies.International Journal of Production Economics.58,221-234.

被引用紀錄


郭美嫺(2007)。考量產能限制之供應鏈層級存貨監督機制〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342%2fNTU.2007.01863

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