考量平行機台彈性以及惡化維護求極小化總完工時間之排程問題

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王凱弘(Kai-Hung Wang) 查詢紙本館藏

畢業系所

工業管理研究所

論文名稱

考量平行機台彈性以及惡化維護求極小化總完工時間之排程問題
(Parallel machine scheduling with flexible and deteriorating maintenance activities for minimizing the total completion time)

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摘要(中)

本研究考慮在彈性維護以及惡化維護的限制之下，n 個不可分割的工作以及 m 台平行機台並求解最下化總完工時間。在本文中的排程問題，機台的狀態非連續可用的，意旨機台在連續工作一段時間後，必須進行機台的維護以避免機台發生故障以及提升機台加工作業的品質。在以前的研究方向中，機台的維護以周期維護為主要研究，即所謂機台使用一段固定時間後必須進行維護作業，而近幾年為了提升機台的使用效率，發展出彈性維護周期的限制，意旨為在兩個連續維護作業的之間時間是不固定的，即每一次機台維護的開始時間是不確定的，本研究設立機台最小連續工作時間以及最大連續工作時間來符合彈性維護周期的限制。而除了彈性維護限制之外，為了更加符合實際工廠的環境，加了一項惡化維護的限制，意旨執行維護的時間會根據經過多久加工時間而變化，即上一次維護作業結束若經過較長的加工時間則下一次執行維護作業的時間則會加長，反之亦然。
我們提供分枝界限演算法來尋求本問題的最佳解，並且根據本文中五個propositions 以及lower bound 和upper bound 來提升演算法的效率，最後則是將使用電腦計算出問題的最佳解。

摘要(英)

In this paper we consider the problem of scheduling of n nonresumable jobs on m identical parallel machines with deteriorating and flexible maintenance activities, and the objective is to minimize total completion time. In this paper scheduling, each machine is not continuously available. The machine must be maintained to prevent breakdown of machine and keep the quality of process jobs. In the past studies, the period maintenance activities is the main object. The period maintenance activity must be maintained after it continuously working for a period of time. In a recent year, develop to constraint of flexible maintenance in order to promote the efficient of machines. The flexible maintenance which means the starting time of unavailability period are decision variable together with jobs to be scheduled .This study given the minimum and maximum working time within any two consecutive maintenance activities correspond with flexible maintenance activity . In addition to constraint of flexible maintenance, correspond with manufacturing environment, we add the constraint of deteriorating maintenance. The deteriorating maintenance assume that the duration of each maintenance activity time depends on the running time.
We propose a branch and bound algorithm to find the optimal solution. According to five propositions, lower bound and upper bound to promote the efficient of algorithm. Finally, we use computational analysis to calculate the optimal solution.

關鍵字(中)

★ 排程
★ 平行機台
★ 機台彈性維護
★ 機台惡化維護
★ 總完工時間
★ 分枝界限法

關鍵字(英)

★ Scheduling
★ Parallel machines
★ Flexible maintenance
★ Deteriorating maintenance
★ Total completion time
★ Branch and bound

論文目次

摘要 I
Abstract ii
Table of Content iii
List of Figures iv
List of Tables v
Chapter 1 Introduction 1
1.1 Background and motivation 1
1.2 Problem description 3
1.3 Research objectives 4
Chapter 2 Literature review 6
2.1 Machine with flexible maintenance activity 6
2.2 Machine with deteriorating maintenance activity 8
2.3 Relationship with flexible and deteriorating maintenance activity 10
Chapter 3 Methodology for the scheduling problem 13
3.1 Notation 13
3.2 Basic propositions 14
3.3 Branching scheme 20
3.4 Bounding scheme 25
3.4.1 Lower bound 25
3.4.2 Upper bound 27
3.5 Algorithm. Branch and bound algorithm 28
Chapter 4 Computational analysis 33
4.1 Generating test problem 33
4.2 Validation of the branch and bound algorithm 34
4.3 Performance of the branch and bound algorithm 35
Chapter 5 Conclusion 44
5.1 Research contribution 44
5.2 Research limitation 45
5.3 Further research 45
References 46
Appendix 49

參考文獻

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指導教授

沈國基(Gwo-Ji Sheen)

審核日期

2016-7-27

推文