損耗性原料及成品在允許部份欠撥下的整合性生產存貨模式

An Integrated Production-Inventory Model for Deteriorating Raw Materials and a Deteriorating End Product With Partial Backordering

黃惠民(Hui-Ming Wee) ； 羅時添(Sh-Tyan Law)

《中原學報》 25卷1期 (1997/02) Pp. 21-28

https://doi.org/10.6358/JCYU.199702.0021

摘要

近十年來，損耗性原料及成品的整合性生產存貨模式受到不少學者的重視。大部份的模式導出最佳的原料採購數量或最佳的成品生產策略，在不允許發生成品欠撥之下，求出最佳或次佳的單位時間總成本函數。
在本研究中，我們假設原料及成品均依已到存貨中固定的比例發生損耗，並放寬不允許欠撥之假設條件，建立一可允許部份欠撥之整合性生產存貨模式；未補足之欠撥量即發生損失銷售。本文應用古典最佳化理論求出最佳的原料採購數量、最佳的成品生產策略使總成本達到最低。此外，以啟發式演算法則找出允許欠撥比例的下限值。最後以實例範例作為模式驗證。本研究所發展出來的模式可應用於許多加工業的採購及生產策略上，食品加工業即為一例。

關鍵字

整合性生產存貨模式 ； 損耗性原料 ； 損耗性成品 ； 部份欠撥

並列摘要

The integrated production inventory model for deteriorating raw materials and a deteriorating end has been popularized by many researchers in the last decade. Most of the models either developed optimal raw material replenishment policies or optimal end product production polices. They developed an optimal or near optimal average total cost strategy for each model. However, none of the existing models considered an integrated production-inventory model with partial backordering.
In this study, an integrated production inventory model with partial backordering is developed for deteriorating raw materials and a deteriorating end product. A classical optimization technique and heuristic algorithms are presented to derive an optimal replenishment and production policy. A numerical example and sensitivity analysis are implemented to illustrate the theory.

並列關鍵字

Integrated production-inventory model ； Deteriorating raw materials ； Deteriorat ing end product ； Partial backordering