考慮缺貨及變動前置時間之經濟生產模型：一個簡化求解程序

Note on the EPQ Model with Shortages and Variable Lead Time: A Simple Method with Basic Inequities

謝組邦 ； 李玉萍 ； 戴忠淵

《亞太經濟管理評論》 13卷1期 (2009/12) Pp. 127-131

https://doi.org/10.30087/APEMR.200912.0007

摘要

本研究使用一種簡單的方法（柯西不等式、算術幾何平均不等式）改進Sarker以及Coates's的模型。對於多變量微積分沒有任何背景的人來說，是一個方便建立他們對存貨模型的興趣。

關鍵字

存貨 ； 非使用微積分 ； 算術幾何平均不等式 ； 柯西不等式

並列摘要

In this article, a simple method to deal with Sarker and Coates's model (1997) and improve Chang's approach (2004) is proposed by using two basic inequalities (Cauchy-Schwarz inequality and Arithmetic-Geometric mean inequality). For people without the background of multi-variable calculus, it is convenient to develop their interests in the inventory model.

並列關鍵字

Inventory ； Without Derivatives ； Arithmetic-Geometric Mean Inequality ； Cauchy-Schwarz Inequality

參考文獻

Chang, H. C.(2004).A Note on the EPQ Model with Shortages and Variable Lead Time.International Journal of Information and Management Sciences.15(1),61-67.

Chang, S. K. J.,J. P. C. Chuang,H. J. Chen(2005).Shod Comments on Technical Note-the EOQ and EPQ Models with Shortages Derived without Derivatives.International Journal of Production Economics.97(2),241-243.

Grubbström, R. W.,A. Erdem(1999).The EOQ with Backlogging Derived without Derivatives.International Journal of Production Economics.59(1-3),529-530.

Ronald, R. J.,G. K. Yang,P. Chu(2004).Technical Note-The EOQ and Models with Shortages Derived without Derivatives.International Journal of Production Economics.92(2),181-184.

Saker, B. R.,E. R. Coates(1997).Manufacturing Setup Cost Reduction under Variable Lead Times and Finite Opportunities for Investment.International Journal of Production Economics.49(3),237-247.