Optimum Profit Model between Producer and Purchaser by Considering Quality Investment

考量品質投資的生產者與採購者最佳化利潤模式

陳忠和(Chung-Ho Chen) ； Panlop Zeephongsekul

《品質學報》 19卷3期 (2012/06) Pp. 265-291

https://doi.org/10.6220/joq.2012.19(3).04

摘要

Chen與Liu（2007）於2007年提出供應鏈體系中考量使生產者與採購者達成最佳化的利潤模式，然而其純採購策略模式與混合採購策略模式僅有簡單的製造成本且未考慮顧客對產品的使用成本，因此，修正的Chen與Liu模式應被提出以獲取產品與製程的最佳參數。本研究將提出考量品質投資的修正Chen與Liu模式，文中假設製程平均數與標準差為品質投資的指數遞減函數，而Taguchi的對稱二次品質損失函數將用來評估產品的品質，在達成生產者與採購者最大平均總利潤的情況下，獲取採購者最佳訂購數量與生產者的零售價格、改善後的製程平均數與標準差以及品質投資。

關鍵字

訂購數量 ； 零售價格 ； Taguchi對稱二次品質損失函數 ； 品質投資

並列摘要

In 2007, Chen and Liu's (2007) model presented the optimum profit model between the producer and the purchaser for the supply chain system. However, their model with simple manufacturing cost did not consider the used cost of customers in their pure and mixed procurement policies. Hence, the modified Chen and Liu's model should be addressed for determining the optimum product and process parameters. In this study, the authors propose a modified Chen and Liu's model with economic selection of quality improvement. Both mean and standard deviation of process are assumed as a declining exponential function of the quality investment. Taguchi's symmetric quadratic quality loss function will be applied in evaluating the product quality. The optimum purchaser's order quantity, producer's wholesale price, improved process mean, improved process standard deviation and quality improvement will be jointly determined by maximizing the expected total profit between the producer and the purchaser.

並列關鍵字

order quantity ； wholesale price ； Taguchi's symmetric quadratic quality loss function ； quality investment

參考文獻

Abdul-Kader, W., Ganjavi, O., and Solaiman, A., 2010, An integrated model for optimisation of production and quality costs, International Journal of Production Research, 48(24), 7357-7370.

Chen, C.-H., 2006, The optimum selection of imperfect quality economic manufacturing quantity and process mean by considering quadratic quality loss function, Journal of the Chinese Institute of Industrial Engineers, 23(1), 12-19.

Chen, C.-H. and Kao, H.-S., 2009, The determination of optimum process mean and screening limits based on quality loss function, Expert Systems with Applications, 36(3), 7332-7335.

Chen, C.-H. and Khoo, M. B. C., 2008, Joint determination of optimum process mean and economic specification limits for rectifying inspection plan with inspection error, Journal of the Chinese Institute of Industrial Engineers, 25(5), 389-398.

Chen, C.-H. and Lai, M.-T., 2007a, Economic manufacturing quantity, optimum process mean, and economic specification limits setting under the rectifying inspection plan, European Journal of Operational Research, 183(1), 336-344.