生產技術不確定下最適投料決策之研究

A STUDY ON OPTIMAL DECISIONS OF INPUT QUANTITY AND TIMING UNDER TECHNOLOGICAL UNCERTAINTY

10.6220/joq.201812_25(6).0004

黃允成(Yun-Cheng Huang)；賴旻儀(Min-Yi Lai)

生產技術不確定 ； 隨機良率 ； 隨機加工時間 ； 數值分析演算法 ； technological uncertainty ； random yields ； random process time ； numerical analysis algorithm

品質學報

25卷6期（2018 / 12 / 30）

414 - 443

繁體中文

本研究主要係針對生產技術不確定製程，提出一具有包含隨機良率、隨機加工時間，並同時考量重工良率、重工加工時間、存貨成本及缺貨成本等多重不確定條件下之數學規劃模型，在利潤極大化之前提下，探討最適投料數量與最適投料時間點之最適投料決策。其次，利用數值分析演算法求解本文所建構之數學規劃模型，並進行各相關參數對總期望利潤函數之敏感度分析，以進一步瞭解相關參數對總期望利潤函數之影響。接著，以一數值範例闡述本研究主題的意義及對推論做一驗證。最後，列出九點結論供後續研究及實務應用之參考。

The main purpose of this research is to propose a mathematics model, in which includes the random yields and process time, the rework yields and process time, the stock cost and the shortage cost. This paper also studies the optimal decisions of input quantity and timing under the technological uncertainty, which will maximize the total expected profits. Secondly, to solve the mathematical model algorithm with utilizing the numerical analysis is deeply discussed this paper. In addition, to understand the influence between the function of profits and relevant parameters, this study analyze the susceptibility of the function of the total expect profits versus relevant parameters. Furthermore, the meaning of this research theme and the verification to the inference with a numerical analysis is explained this paper. For the reference of the follow-up study, there are nine concrete conclusions summarized at the end of the paper.

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