在不完美重工生產系統下探討定量多次配送對生產批量與配送次數之最佳決策

Optimal lot size and optimal frequency of delivery for an imperfect finite production model with fixed quantity multiple shipments

林芝安(Chih-An Lin)

指導教授 ： 邱元錫

朝陽科技大學/理工學院/工業工程與管理系/碩士(2009年)

摘要

本研究使用數學模式推導出最佳之生產批量及配送次數，其包含定量多次配送與含不良品重工失敗率。假設在不完美重工下，進行多次配送產品至購買者，使製造商與購買者的總存貨成本最小化，並使用Hessian Matrix Equation確認存在成本最小值，進而推導出最佳生產批量及配送次數。傳統的經濟生產批量假設需求是連續配送的，但實務上並無法達成，因為當製造商將產品配送至購買者時，經常使用批量式送貨，但此方式較符合實際上的情況。其生產過程也可能因各種原因產生出不良品。而本研究假設生產過程會產生不良品，且不良品假設皆可重工；然而不良品在加工修復期間亦有報廢品的產生。本研究針對這些假設建立三種數學模式：(1)重工後配送之最佳生產批量及配送次數決策；(2)重工前配送且重工時間小於一次配送時間之最佳生產批量及配送次數決策與(3)重工前配送且重工時間大於一次配送時間之最佳生產批量決策。接著提出實例以做驗證，並對其參數做敏感度分析，期望本研究之模式能夠因應實務上情況，提供業界作為實務應用與決策上之參考。

關鍵字

最佳生產批量 ； 報廢品 ； 不良品重工失敗率 ； 最佳配送次數 ； 不完美品質生產系統 ； 定量多次配送

並列摘要

This paper determines the optimal lot size for the finite production model with an imperfect rework process of defective items and fixed quantity multiple shipments. Assuming the rework procedure is imperfect and each batch is dispatched to the customer with a number of shipments. The purpose of this study is to find the economic production quantity (EPQ) and optimal number of deliveries that minimize the total inventory costs of manufacturer and buyer. Traditional EPQ model assume that the demand for the shipment is continuous, but it is not realistic because when the manufacturer delivery products to the buyer, they often adopt a fixed quantity shipments. Although this approach includes the purchaser of inventory costs and transportation costs, so total cost increases, it studies a realistic integrated production-inventory system. Quality factors such as random defective items and imperfect rework process are also considered in the proposed system.
Three different models are examined in this study: (1) the optimal lot size and optimal frequency of delivery with EPQ model when the delivery time from distribution after the rework. (2) the optimal lot size and optimal frequency of delivery with EPQ model when the delivery time from distribution before the rework but and (3) the optimal lot size with EPQ model when the delivery time from distribution before the rework but . Numerical examples are provided to demonstrate its practical usage.

並列關鍵字

fix-quantity deliveries ； imperfect rework process ； failure in rework ； economic production quantity

參考文獻

[55]王聖嘉，「探討經濟生產批量模式含不良品重工之最佳決策」，博士論文，中原大學工業工程研究所，台中(2003)。

[1]Aderohunmu, R., Mobolurin, A., and Bryson, N., “Joint vendor-buyer policy in JIT manufacturing”, Journal of the Operational Research Society, 46 (3), 375-385(1995)

[2]Agnihothri, S.R.and Kenett, R.S., “Integrated production-inventory models for imperfect production processes under inspection schedules”, Computers and Industrial Engineering, Vol. 44, Issue 4, pp.633-650 (2003)

[4]Beatriz Abdul-Jalbar, Jose’ M. Gutie’ rrez, Joaquı’n Sicilia, “An integrated inventory model for the single-vendor two-buyer problem”, Int. J. Production Economics, 108, 246–258 (2007)

[5]Ben-Daya, M., Noman, S.M. and Hariga M., “Integrated inventory control and inspection policies with deterministic demand”, Computers & Operations Research 33 pp.1625–1638 (2006)