整合製造商與多個購買者在不完美重工生產系統之(n+1)次配送與整合多樣產品生產含隨機報廢並多次配送的最佳生產與配送策略

Determining the optimal production-shipment policies for single-vendor-multiple-buyers integrated system with failure in rework and (n+1) deliveries, and for a multi-item production system with scrap and multi-delivery policy

黃朝治(Chao-Chih Huang)

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(2011年)

摘要

本研究在製造商不良品不完美重工生產系統下以數學模式建構出整合購買者存貨持有成本的兩個存貨模式。模式(一)為製造商於生產時間t1內生產足夠多個購買者於生產時間t1及重工時間t2之良品需求量後立即配送一次，重工完成後定量多次配送至多個購買者的存貨模式，本模式假設製造商於正常生產過程會產生不良品，且不良品皆可重工，而不良品在重工修復期間亦有報廢品產生；模式(二)為製造商在共同週期下生產多樣產品並多次配送的存貨模式，而本模式假設生產之不良品完全報廢；兩模式在配送方面，由於基本經濟生產批量(EPQ)假設需求為連續配送的，但實務上並不符合實際情況，因此製造商將產品配送至購買者時使用定量批次的配貨方式。接著分別建構模式(一)、(二)之數學模式且皆整合製造商與購買者存貨持有成本，使總成本最小化，並分別探討「最佳生產批量與最佳配送次數」及「最佳生產時間與最佳配送次數」之最佳化決策。最後以數值例子作驗證，並對相關參數做敏感度分析與模式之比較，期望本研究之模式能夠因應實務之情況，提供業界作為實務應用與決策上之參考。

關鍵字

不完美重工生產系統 ； 重工失敗率 ； 報廢品 ； (n+1)次配送定量多次配送 ； 多樣產品 ； 共同週期 ； 最佳配送次數 ； 最佳生產批量 ； 多個購買者

並列摘要

This research develops two mathematical models with buyer’s inventory holding costs under the imperfect production system. They are (1) EPQ model with (n+1) deliveries strategy to multiple-buyers. This model also assumes have failure ratio in rework of defective items. (2) Multi-item production system with scrap and multi-delivery policy under rotation cycle policy. Traditional EPQ model assumes that the demand for the shipment is continuous, but it is not realistic. Therefore, the delivery of products often adopts multiple fixed quantity shipments. Total costs include manufacturer and buyer of inventory costs, and the objective is to minimize the total costs. Optimal lot size and best delivery policy are derived for Model 1. Optimal production time and number of deliveries are obtained for Model 2. Finally, numerical examples are provided for validation and sensitivity analysis demonstrates its applicability.

並列關鍵字

Imperfect rework process ； Multi-item production ； (n+1) delivery strategy ； Optimal lot size ； Scrap ； Failure rate in rework ； Rotation cycle policy ； Multi-buyer ； Optimal number of deliveries

參考文獻

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