Improved solution process for inventory model with ramp-type demand under stock-dependent consumption rate

Abstract

We use the smoothly connected property to simplify the solution process for inventory model with ramp-type demand under stock-dependent consumption rate. This article is a response to a complicated solution process of Wu et al. [“Retailer's optimal ordering policy for deteriorating items with ramp-type demand under stock-dependent consumption rate,” International Journal of Information and Management Sciences, 19, 245–262 (2008)]. They extended a minimum cost inventory model to a maximized profit problem and presented a detailed analysis for the solution procedure. However, their solution process may be too lengthy to involve many right but unnecessary results. In this article, we use the smooth connected property to dramatically simplify their solution structure. Our approach is also applied to minimum cost inventory models that were demonstrated by simplifying the paper of Deng et al. [“A note on the inventory models for deteriorating items with ramp type demand rate,” European Journal of Operational Research, 178, 112–120 (2007)]. Our findings will help ordinary readers to understand their important inventory models.

我們使用平滑連接的性質去化簡坡道型且存貨相關之需求存貨模型的解法。 本文章回應了吳昆山等學者在2008年發表在資訊與管理科學國際期刊的文章： 根據一個最小化成本的存貨模型 ， 他們發展了一個最大化利潤的存貨模型 ， 同時準備了 ， 詳細求取最佳解的作法。 然而 ， 他們冗長的作法包含了很多正確但是不需要的步驟。 而我們利用平滑連接的性質 ， 大幅簡化了求取最佳解的作法。 我們的方法同時可以運用在最小化成本的存貨模型 ， 我們的發現 ， 將有助於學者瞭解他們的重要的存貨模型之特性。

(*聯絡人: [email protected])

Keywords:

• inventory model
• smoothly connected property
• stock dependent selling rate

Keywords:

• 關鍵詞： 存貨理論 ； 平滑連接 ； 存貨相關需求

Notes

(*聯絡人: [email protected])