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  • 學位論文

研究含可調整生產速率、隨機性當機、重工和多次配送政策之最佳生產時間與多樣產品兩階段延遲差異化,重工及半成品可調整速率之最佳共同週期

Optimal Production Run Time Considering Adjustable Production Rate, Random Breakdown, Rework and Multi-Delivery Policy; and Optimal Common Cycle Time for a Two-stage Delayed Product Differentiation Multiproduct Inventory Model Considering Rework and Adjustable Production Rate on Common Parts

指導教授 : 邱元錫
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摘要


本研究延伸傳統經濟生產批量(EPQ)模型,考慮現實可能之狀況,如設備當機、多次定量配送、可調整生產速率、不良品可重工及多樣產品延遲差異化之兩階段生產等做為本研究之重點因素。本研究模式一探討在生產單一產品考慮「隨機性當機」、「可調整生產速率」、「不良品可全數重工」、「多次定量配送策略」之最佳生產時間。本研究模式二探討在多樣產品兩階段延遲差異化時考慮「共同半成品可調整生產速率」及「不良品全數重工」之最佳共同週期。 針對上述建立兩種模式:研究模式一探討生產過程時若發生隨機性當機,將採用AR(Abort/Resume)修復策略,生產過程中產出之不良品皆可重工修復,而可調整生產速率則為人員加班或調整機台生產速率,生產完成後以多次定量方式進行配送,求解過程中使用積分整合有當機及無當機,在以二次微分求得判斷式,當判斷式成立,則以一次微分求得最佳生產時間。研究模式二探討多樣產品兩階段延遲差異化,生產過程中產出之不良品皆可重工修復,一階段生產共同半成品時為可調整生產速率,二階段生產多樣之完成品則以連續配送方式進行配送。求解過程使用二次微分大於零及一次微分等於零求解出最佳共同週期。最後將兩種模式進行數值驗證及敏感度分析。

並列摘要


This study extends the traditional economic production quantity (EPQ) model, taking into account realistic possible conditions, such as machine breakdown, multi-delivery policy, adjustable production rate, rework of defective products, and two-stage production delayed differentiation of multiproduct. This research mode 1 explores the optimal production time when considering "random breakdown", "adjustable production rate", "full rework of defective products", and " multi-delivery policy " in the production of a single product. The second mode of this study explores the optimal common cycle time for considering "adjustable production rate on common parts" and "full rework of defective products" in the two-stage production delayed differentiation of multiproduct. In response to the above, two modes are established: Research mode 1 discusses if a breakdown occurs during the production process, AR (Abort / Resume) repair strategy will be used, and defective products produced in the production process can be reworked, and the production rate is adjusted for staff overtime. Adjust the production rate of the machine, and consider the situation of no breakdown, and finally multi-delivery policy. In the solution process, use the integral to integrate the breakdown and no breakdown, and use the second derivative to determine the judgment formula. When the formula is true, the best production time is obtained by one differentiation. Research mode two explores the two-stage delayed differentiation inventory model of multiple products. The defective products produced in the production process can be reworked. The production rate can be adjusted during the production of semi-finished products in the first stage, and produced the finished products in the second stage are by continuous distribution delivery. The solution process uses the quadratic differential greater than zero and the primary differential equals zero to find the optimal common cycle. Finally, the two modes are numerically verified and sensitivity analyzed.

參考文獻


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