研究多樣產品不完美重工系統的配送與共同週期決策與含當機且完全重工之多次配送最佳生產策略

Joint determination of delivery and common cycle policy for system with imperfect rework, and the optimal production-shipment policy with breakdown and rework

張智凱(Chih-Kai Chang)

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(2012年)

摘要

本研究在整合製造商不完美生產系統下探討多樣產品配送次數與生產 週期之最佳決策與機器當機含多次配送程序下探討最佳生產策略。本研究 將傳統 EPQ 模型的連續配送假設為多次配送,本研究針對此問題建立數學 模式。假設製造商在不完美生產系統下,且不良品皆可重工。本研究針對 上述假設建立了兩種數學模式:(1)在生產時間內產生的不良品,所有不良 品皆可重工,但是在不良品重工過程當中有報廢品的產生,再將所有良品 進行多次配送給顧客,考慮製造商與顧客端持有存貨之最佳生產週期及配 送次數決策;(2)在考慮機器當機修復後,所有不良品可完全重工,並將產 品多次配送給顧客之最佳生產時間之策略。藉由以上假設建立數學模式, 以探討出最佳決策,使總成本最小化,最後提出數值實例來加以驗證,並 對參數值做敏感度的分析,並期望本研究的數學模式能夠應用在實務的情 況上,提供業界作為決策參考之依據。

關鍵字

多次配送 ； 報廢品 ； 不完美重工 ； 週期時間 ； 多樣產品 ； 機器當機

並列摘要

This research explores the optimization of a production system with multiple products and multiple delivery under a common cycle policy, and determines the best production run time strategy for a system with machine breakdown, rework, andmultiple deliveries.Two mathematical models are constructed respectively. Model 1 studies the multi-item production system with imperfect rework and model 2 investigates the optimal production run time for a system with Poisson breakdown rate and reworking of defective items. Hessian matrix equations are used in model 1 to prove existence of minimal cost, followed by the derivation of the optimal rotation cycle time and optimal number of deliveries. Conditional optimality and a search algorithm are employed in model 2 to locate the optimal production run time. Examples are provided to demonstrate how the results can be used in real world situations.

並列關鍵字

Common cycle ； scrap ； multiple delivery ； multiple products ； breakdown ； rework

參考文獻

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