博碩士論文 107426016 詳細資訊




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姓名 相虹(Hsiang Hung)  查詢紙本館藏   畢業系所 工業管理研究所
論文名稱 以分支定界法求解具批量機台與時間延滯之零工式生產排程問題
(A Branch and Bound Algorithm for Job Shop Problem with a Batch Machine and Time-Lags)
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摘要(中) 本研究探討用分支定界法求解零工式生產排程的問題,其環境具有批量生產與時間延遲之限制特性,批量生產為機台上指定之作業可以被批量加工。而等候時間延滯上的限制中,因考量到批量機台的加工,故當作業從前一個工作站離開後,該作業不需要等待最小的時間,可以直接進入下個工作站,但仍需要在一定的時間之內抵達下一個工作站。
因此時間延滯上的限制需要考慮到當工件抵達機台上可以開始被加工的時間,再加上指定機台具有批量生產之功能,希望藉由批量生產來減少所需的完工時間。為了解決以上研究內容中提出的限制問題,我們將在本研究中發展一分支定界的演算法,並加入批量生產的限制,目標為在此環境下能夠得到最小的完工時間。
摘要(英) The main purpose of this research is to discuss a branch and bound algorithm for job shop problem with a batch machine and time-lags, the environment have the batches and the time lags, batch processing of machine indicated on the workpiece can be batch processing, and waiting time constraints, when after the completion of the artifacts used workstation, over a period of time is needed to enter to the next station for processing, and the workpiece must wait for a certain minimum time, at the same time wait for no more than a certain time.
Therefore, the waiting time limit needs to take into account the time that each workpiece can start processing. In addition, some limited machines have the capacity of mass production. It is hoped that by batch processing, the required completion time can be reduced. To solve this problem, we will develop a branch and bound algorithm, and the objective is minimize the maximum makespan.
關鍵字(中) ★ 批量生產
★ 時間延滯
★ 分支定界法
★ 零工式
關鍵字(英) ★ Batch
★ Time-Lags
★ Branch and Bound
★ Job Shop
論文目次 Contents
摘要 i
Abstract ii
Contents ii
List of figures v
List of tables vi
Chapter 1 Introduction 1
1.1 Research background and motivation 1
1.2 Problem definition 3
1.3 Research objectives 5
1.4 Research methodology 5
1.5 Research framework 6
Chapter 2 Literature Review 8
2.1 Job shop problem 8
2.2 Job shop problem with time-lags 9
2.3 Job shop problem with batches 11
Chapter 3 Methodology 12
3.1 Notations 12
3.2 Problem statement 15
3.3 Proposition 18
3.4 Branching scheme 20
3.5 Adjustment of starting time intervals, release times and tail values 23
3.6 Bounding scheme 23
3.7 Algorithms 26
Chapter 4 Computational Analysis 30
4.1 Instance Generation 30
4.2 Validation of the branch and bound algorithm 31
4.3 Performance of the branch and bound algorithm 32
4.3.1 Performance of nodes eliminated 32
4.3.2 Percentage of nodes eliminated by a specific proposition 33
4.3.3 Maximum size of instance 35
Chapter 5 Conclusion 37
5.1 Research Contribution 37
5.2 Research Limitation 38
5.3 Further Research 38
Reference 39
Appendix 41
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[16] Pinedo, Michael L. (2008). Scheduling Theory, Algorithms, and Systems. Third Edition. Chapter 7, 179-189.
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[18] Tangudu, S. K., & Kurz, M. E. (2006). A branch and bound algorithm to minimise total weighted tardiness on a single batch processing machine with ready times and incompatible job families. Production Planning & Control, 17(7), 728–741.
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指導教授 沈國基(Gwo-Ji Sheen) 審核日期 2020-8-18
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