Determining Replenishment Lot Size and Shipment Policy in an EPQ Model with Quality Assurance: An Alternative Approach and Analysis

探討含品質保證的經濟生產批量模式之補貨批量與運送策略：另一種求解方法與分析

張宏吉(Hung-Chi Chang)

《International Journal of Information and Management Sciences》 23:3 (2012/09) Pp. 323-332

https://doi.org/10.6186/IJIMS.2012.23.3.6

摘要

本文分析在經濟生產批量模式中考慮品質保證議題並探討補貨批量與運送策略之現存研究。針對目標函數以補貨批量與運送次數為決策變數之模式，現存研究已運用傳統最佳化方法或代數解法，推導出決策變數為連續時之最佳解公式。本文則進一步展現,如何運用其他最佳化的方法，推導出決策變數為連續（補貨批量）與間斷（運送次數）以及模式最小總成本之封閉表示式。對於現存的研究，本文亦提出有用的補述，推導出執行多次運送策略的門檻值，並說明重要的參數對批量決策與運送策略的影響。

關鍵字

存貨 ； 經濟生產批量 ； 多次運送 ； 無微分最佳化方法 ； 不良品

並列摘要

This paper analyzes several studies that address the replenishment lot size and multidelivery policy in an extended EPQ model with quality assurance. For a model in which the objective function is expressed in terms of lot size and number of shipments, previous studies have derived closed-form expressions for determining the optimal continuous values for both decision variables, using the classical optimization technique or algebraic method. In this paper, our aim is to show how to apply other optimization methods to derive explicit closed-form expressions, not only for the optimal lot size, but also for the optimal integer number of shipments and the minimum total cost of the model. Furthermore, we provide a helpful supplement to those related studies, specifically, a threshold for implementing multi-delivery policy and the effects of problem parameters on the lot size decision and shipment policy.

並列關鍵字

Inventory ； EPQ ； multiple shipments ； derivatives-free optimization ； imperfect quality

參考文獻

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