博碩士論文 106426029 詳細資訊




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姓名 陳瑩珊(Ying-Shan Chen)  查詢紙本館藏   畢業系所 工業管理研究所
論文名稱 使用MIP解決批量平行機台具合適度限制及等候時間限制之生產排程問題
(Use MIP to Solve The Problem Of Parallel Batch Machine Scheduling with Machine Eligibility and Waiting Time Constraints)
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摘要(中) 在此研究中,我們研究 ? 個可以進行批次加工的工作跟 ? 台平行機台的排程問題,不同批次加工的工作有著不同的加工配方,即是說工作有適合自己加工的機台,在符合的機台環境下,該工作才能加工,再加上不同工作有著一些時間上的限制,因此我們研究的目標是在符合這些限制條件下找出最小化最後一個離開系統工作的完工時間。
為了求出這個問題的最佳解,本研究提出了一個混整數規劃的模型,並加上時間限制、機器合適度、批次加工與平行機台加工以及在物料使用上的限制…等等的限制條件。在本研究的環境設置上,我們所提出的環境假設是與實際半導體產業的生產情況更加相近,最後使用的方法是以線性規劃來求解此排程問題。
摘要(英) In this research, we research the scheduling problem with n lots that can be divided into batches and m parallel machines under availability constraint. Due to the eligibility constraint, each lots has its own recipe, not all m machines can process the all recipes. And the lots have the waiting time before the processing, they can process together when their arrival time smaller than the batch’s waiting time. Therefore, the goal of our research is to find the minimum completion time for the last system to leave the system, subject to these constraints.
In order to find the optimal solution to this problem, this study proposes a model for mixed integer programming. And with time constraints, machine eligibility constraint, batch processing constraint, and parallel machine processing constraint. In our environment settings. The assumptions we put forward are more similar to the actual environment of the semiconductor industry. Finally, we use mixed integer programming to solve this scheduling problem.
關鍵字(中) ★ 平行機台
★ 機器合適度
★ 批量加工
★ 等候時間限制
關鍵字(英) ★ Parallel machine
★ Batch processing
★ Waiting time constraints
★ Makespan
論文目次 摘要 i
Abstract ii
Contents iii
List of tables v
List of figures vi
Chapter 1 Introduction 1
1.1 Research background and motivation 1
1.2 Problem definition 3
1.2.1 Problem definition of Sub-problem 1 3
1.2.2 Problem definition of Sub-problem 2 5
1.3 Research objective 8
1.3.1 Research objective of Sub-problem 1 8
1.3.2 Research objective of Sub-problem 2 8
1.4 Research methodology 8
1.4.1 Research methodology of Sub-problem 1 8
1.4.2 Research methodology of Sub-problem 2 9
1.5 Research framework 9
Chapter 2 Literature Review 12
2.1 Batch processing parallel machine 12
2.2 Machine eligibility constraint 14
2.3 Time window constraint 15
Chapter 3 Methodology 17
3.1 Methodology of Sub-problem 1 17
3.1.1 Notation 17
3.1.2 The mathematical model 18
3.1.3 Modeling view of Sub-problem 1 20
3.2 Methodology of Sub-problem 2 23
3.2.1 Notation 23
3.2.2 The mathematical model 24
3.2.3 Modeling view of Sub-problem 2 27
Chapter 4 Computational Analysis 34
4.1 Instance Generation 34
4.2 Validation results of our model 35
4.3 Performance of the mixed integer programming model 40
Chapter 5 Conclusion 47
5.1 Research contribution 47
5.2 Research Limitation 48
5.1 Further Research 48
References 49
參考文獻 [1] Ali Husseinzadeh Kashan, Behrooz Karimi & Masoud Jenabi (2006). A hybrid genetic heuristic for scheduling parallel batch processing machines with arbitrary job sizes. Computers & Operations Research ,1084-1098.
[2] Brucker, P., Gladky, A., Hoogeveen, H., Kovalyov, M. Y., Potts, C. N., Tautenhahn, T., & Van De Velde, S. L. (1998). Scheduling a batching machine. Journal of scheduling, 1(1), 31-54.
[3] Centeno, G., and Armacost, R. L., (1997). Parallel machine scheduling with release time and machine eligibility restrictions. Computers and Industrial Engineering, 33(1–2), 273–276.
[4] Chang P.-Y., Damodaran P., Melouk S. (2004) Minimizing makespan on parallel batch processing machines. International Journal of Production Research 42(19):4211–4220
[5] Cheng, B., Yang, S., Hu, X., & Chen, B. (2012). Minimizing makespan and total completion time for parallel batch processing machines with non-identical job sizes. Applied Mathematical Modelling, 36(7), 3161-3167.
[6] Li X, Yalaoui F, Amodeo L (2010). A multi objective meta-heuristic with a fuzzy logic controller for solving a scheduling problem. Computational intelligence: foundations and applications: proceedings of the 9th international FLINS conference, Emei, CHINA, August 02–04
[7] Li, S. A hybrid two-stage flowshop with part family, batch production, major and minor set-ups. European Journal of Operational Research, 102(1), 142-156. (1997)
[8] Liao, L. W., & Sheen, G. J. (2008). Parallel machine scheduling with machine availability and eligibility constraints. European Journal of Operational Research, 184(2), 458-467.
[9] Pinedo ML (2009). Planning and scheduling in manufacturing and services. Springer, New York.
[10] Pinedo ML (2011). Scheduling theory, algorithms, and systems. Springer, New York
[11] Su, L. H. (2003). A hybrid two-stage flow shop with limited waiting time constraints. Computers & Industrial Engineering, 44(3), 409-424.
[12] Tu, Y. M., & Liou, C. S. (2006). Capacity determination model with time constraints and batch processing in semiconductor wafer fabrication. Journal of the Chinese Institute of Industrial Engineers, 23(3), 192-199.
[13] Xu, R., Chen, H., Li, X., (2012). Makespan minimization on single batch-processing machine via ant colony optimization. Comput. Oper. Res. 39 (3), 582–593.
[14] Zhu X, Wilhelm WE (2006). Scheduling and lot sizing with sequence-dependent setup: a literature review. IIE Trans, 38,987–1007
指導教授 沈國基(Gwo-Ji Sheen) 審核日期 2019-8-15
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