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題名:考量時窗限制之排程研究-以流程式及零工式為例
作者:余舜基
作者(外文):Yu Shun Chi
校院名稱:輔仁大學
系所名稱:商學研究所博士班
指導教授:黃榮華
學位類別:博士
出版日期:2014
主題關鍵詞:迴流式排程平行機流程式排程零工式排程蟻群演算法粒子群演算法時窗遠端粒子群演算法有效率蟻群演算法智慧選擇蟻群演算法reentrantmultiprocessor flow shopant colony optimizationparticle swarm optimizationdue windowsfarness particle swarm optimizationeffective ant colony optimizationwise select ant colony optimization
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本研究探討生產排程問題,考慮時窗限制下之流程式和零工式生產作業情況。在實務中,為了促進相關行業的利益,時窗的限制成為即時生產的一個重要問題。迴流式流程式排程、兩階段彈性流程式排程及零工式排程問題為現實世界中最常見的生產活動。因此,藉由時窗的限制,本研究基於即時生產的概念,試圖以減少加權提早,延遲成本來進行研究。為了解決具時窗限制的排程問題,本研究發展三種有效方法,以防止生產過程中意外的延遲和相關的巨額損失。
隨著相關研究展現蟻群演算法 (ACO) 和粒子群算法 (PSO)是有效和高效率地解決排程問題的優點。本研究,開發了遠端粒子群演算法 (FPSO),以解決兩階段迴流式流程式排程問題,為了盡量減少兩階段迴流式平行機流程式排程的提早及延遲時間,一個新的有效率蟻群演算法 (EACO) 來求解兩階段彈性流程式排程問題,從而減少提早,延遲和最大完工時間,以及一個智慧選擇蟻群演算法 (WSACO)具有時窗考量和順序相依的設置時間限制,並解決了在現實世界中的零工式排程問題。
計算結果指出,不管小規模或大規模的問題,FPSO演算法、 EACO演算法及WSACO算法優於原有的粒子群演算法和蟻群演算法方面的有效性和健全性。重要的是,這項研究顯示FPSO演算法可以有效率地解決這樣一個複雜的迴流式流程式排程問題、EACO演算法可以有效率地解決兩階段彈性流程式排程問題,以及WSACO演算法可以有效率地解決零工式排程問題。
本研究提供了一個令人滿意的時間內之最佳解決方案的整數規劃最佳解 (IP solutions) 和提出了在短時間內可快速反應市場的三個有效解決演算方法。計算結果證明,這三個建議的演算法比普通蟻群演算法和粒子群演算法具有較高效率的求解能力。所提出的方法減少等待和延遲成本,同時幫助企業能縮短最大完工時間,以增加利潤、並降低管理成本,而本研究的成果也可以作為相關的企業管理問題之深入研究的參考依據。
This study investigates production scheduling problems with due windows using flow shop and job shop cases. In practice, due windows have become an important issue for real time production in order to facilitate the interests of related industries. Reentrant flow shop scheduling, two-stage flexible flow shop, and job shop scheduling problems are the most common production activities in the real world. Therefore, by applying the due windows constraint, this study attempts to minimize weighted early and tardy costs, based on the just-in-time concept. For solving scheduling problems with time windows, this study develops three effective methods that prevent unexpected delays and associated large losses during production.
With related studies demonstrating that ant colony optimization algorithm (ACO), and particle swarm algorithm (PSO) are both effective and efficient means of solving scheduling problems, this study; develops a farness particle swarm optimization algorithm (FPSO) to solve reentrant two-stage multiprocessor flow shop scheduling problems in order to minimize earliness and tardiness, a novel effective ant colony optimization (EACO) algorithm to solve two-stage flexible flow shop scheduling problems and thereby minimize earliness, tardiness and makespan, and a wise select ant colony optimization (WSACO) utilizing due window and sequence dependent setup time for constraints, and solves the job shop scheduling problem in real world.
Computational results indicate that either small or large scale problems are involved in which FPSO algorithm, EACO algorithm, and WSACO algorithm outperform original PSO algorithm and ACO algorithm with respect to effectiveness and robustness. Importantly, this study demonstrates that FPSO algorithm can solve such a complex reentrant flow shop scheduling, EACO algorithm can solve the two-stage flexible flow shop, and WSACO algorithm can solve the job shop scheduling problems with due window and sequence dependent setup time for constraints efficiently. This study offers IP solutions for the best solutions within a satisfactory time and the three proposed algorithms provides solutions for quick response to market within a short time. Computational results prove that the three proposed algorithms have a higher solving capacity than the common ACO and PSO algorithms. The proposed methods reduce waiting and tardiness costs, helping enterprises simultaneously shorten makespan, increasing profits, and lower overhead costs, and the results of this study can also be used as the basis for further study about other management issues of related companies.
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