指數時間退化性的存貨模型－關於需求比例變化和部分缺貨的技術分析

A Technical Note for the Deteriorating Inventory Model with Exponential Time-Varying Demand and Partial Backlogging

鄧少華(Peter-Shao-Hua Deng) ； 余彥傑(Yen-Chieh Yu) ； 藍俊雄(Chun-Hsiung Lan)

《中華管理發展評論》 2卷2期 (2010/12) Pp. 199-207

https://doi.org/10.6631/JCMD.2010.2.2.199

摘要

本研究主要在探討指數時間變化需求與部分缺貨之退化性存貨模型。本研究的退化率主要決定於下一次補貨所需的等待時間。Chang和Dye（1999）的研究建議以部分缺貨的情況下之存貨模型做為研究重點，並對未來的研究有著重要的影響。然而Chang和Dye（1999）的文章中仍有些結果沒有解決。本研究的目的有三，第一，本研究將重新檢視Chang和Dye（1999）的模型，並簡化計算和敘述方式；第二，本研究將探討他們未完成的討論並提供可能的理論以補充與分析問題；最後，本研究將為未來的研究提出可行的研究方向。

關鍵字

存貨模型 ； 需求指數 ； 退化率

並列摘要

We study the paper of Chang and Dye (1999) that investigated the inventory model for deteriorating items with exponential time-varying demand and partial backlogging. The backlogging rate is dependent on the waiting time for the next replenishment. Their research pointed out an important direction for the inventory model with partial backlogging that influenced many future researches. However, there are some questionable results in their pioneer paper. The major purposes of this note are classified into three. Firstly, we reconsider their model to simplify their computations and expressions. Secondly, we show their incomplete method and offer a possible theorem to patch the analytical problem. Last, we point out some possible directions for future research.

並列關鍵字

Inventory Model ； Exponential Demand ； Backlogging Rate