Computational Optimization of Manufacturing Batch Size and Shipment for an Integrated EPQ Model with Scrap

• 作者: Hong-Dar Lin Ming-Hon Hwang Nong Pan Yuan-Shyi Peter Chiu
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: COMPUTATIONAL OPTIMIZATION MANUFACTURING Batch Size Shipments EPQ Model Random SCRAP Rate Algebraic Approach
• 年，卷（期）: 2011,（3）
• 页码范围: 202-207
• 页数: 6页
• 分类号: O1

摘要

This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) model with scrap. Unlike the conventional method by using differential calculus to determine replenishment lot size and optimal number of shipments for such an integrated system, this paper proposes a straightforward algebraic approach to replace the use of calculus on the total cost function for solving the optimal production- shipment policies. A simpler form for computing long-run average cost for such a vendor- buyer integrated EPQ problem is also provided.