Replenishment Lot Size and Number of Shipments for EPQ Model Derived Without Derivatives

Mathematical and Computational Applications

Chen, Kuang-Ku¹ 

关键词: Replenishment lot size;    Multiple shipments;    Algebraic approach;    R;    om defective rate;    EPQ model;    Rework;   

DOI  :  10.3390/mca16030753

学科分类：计算数学

来源: mdpi

【 摘 要 】

This paper investigates optimal replenishment lot size and optimal number of shipments for economic production quantity (EPQ) model with rework process using an algebraic approach. The classic EPQ model assumes a perfect quality production for all items produced and a continuous issuing policy for satisfying customer‟s demand. However, in a real life vendor-buyer integrated-production-inventory system, a multi- delivery policy is commonly used in lieu of a continuous issuing policy and generation of defective items during a production run seems to be inevitable. A recent published work examined such an identical problem using mathematical modeling and differential calculus to derive the optimal replenishment lot size and optimal number of deliveries that minimizes overall production-inventory-shipment costs. This paper proposes a straightforward algebraic approach to replace the use of calculus on the cost function for determining optimal production-shipment policies. It also presents a simpler form for calculating the long-run average cost for such an imperfect EPQ problem.

【 授权许可】

CC BY