允許缺貨後補之產能擴張問題

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李承浩(Cheng-Hao Lee) 查詢紙本館藏

畢業系所

工業管理研究所

論文名稱

允許缺貨後補之產能擴張問題
(Capacity expansion problems with backlogging)

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摘要(中)

對於製造業而言，產能擴張一直是值得注意的問題，但產能擴充往往需要投下大量成本，此外仍有其它因子如勞力、原物料、需求變化等會影響總成本。因此每項決定都需要有通盤的考量，整體決策因而訂定。在本文中，我們想要知道
在允許暫時性的缺貨情形下，要如何對整體進行規劃以及盡可能減少閒置的情形發生。利用整數規劃模型以及分枝界限的技巧來求解以及獲得最佳成本的決策方向。

摘要(英)

Capacity expansion is always a considerable decision among manufacturing organizations, but implementing expansion is usually accompanied with a great deal of cost. Besides, there are lots of factors affect the total cost we may spend such as labor cost, raw material cost, demand variation, etc. Therefore decisions should be made through considering all the factors and as carefully as possible. Finally the expansion strategy will arise. Our research is based on the policy using inventory to postpone capacity expansion. We want to know what if we simultaneously allow temporary shortage and we want to reduce idle situations as much as possible. Then we make a trade-off among these strategies by constructing an integer programming model. At last we develop an algorithm that combines binary search tree and stepping stone method to solve our problem.

關鍵字(中)

★ 產能擴充
★ 缺貨候補
★ 分支界限

關鍵字(英)

★ Capacity Expansion
★ Backlogging
★ Branch and Bound

論文目次

中文摘要 I
Abstract II
Content.............. III
List of Figures V
List of Tables VI
Chapter 1 Introduction 1
1.1 Background and motivation 1
1.2 Research objective 2
1.3 Research framework 3
Chapter 2 Literature Review 5
2.1 Capacity expansion 5
2.2 Production planning 8
2.3 Branch and bound algorithm 9
Chapter 3 Model and Solutions 10
3.1 Problem statement 10
3.2 Assumptions 10
3.3 Notations and mathematical model 11
3.4 Problem solution 13
3.4.1 Branching scheme for expansion decisions........13
3.4.2 Dominance Rules 15
3.4.3 Calculation for allocation decisions 15
3.4.4 Algorithm for the Problem 16
Chapter 4 Numerical Analysis 20
4.1 Testing the Performance under Other Situations 20
4.1.1 Problem Parameters 20
4.1.2 Impacts of Testing Parameters on Decisions and Costs 21
4.2 Testing Performance for Our Problem 26
4.2.1 Problem Parameters for Our Problem 26
4.2.2 Influence of Parameters on Decisions and Costs in our model 27
Chapter 5 Conclusion 36
Reference 38

參考文獻

Attarian, F., Javanmard, H., Mardani, A., Soltan, E.K.H., 2009. “Production planning in the Inventory Limit Capacity Setting Assuming Permissible Shortage Using Dynamic Programming Model” Procceedings of the World Congress on Engineering 1, London.
Byrne, M.D. and Hossain, M.M., 2005. “Production planning: An improved hybrid approach” International Journal of Production Economics, 93-94, 225-229.
Clausen, J., 1999. Branch and Bound Algorithms – Principles and Examples. Dept. Comput. Sci., Univ. Copenhagen, 1-30.
Hsu, V.N., 2002. Dynamic capacity expansion problem with deferred expansion and age-dependent shortage cost. Manufacturing & Service Operations Management 4(1),44–54.
Julka, N., Baines, T., Tjahjono, B., Lendermann, P., Vitanov, V., 2007. A review of multi-factor capacity expansion models for manufacturing plants: Searching for a holistic decision aid. International Journal of Production Economics 106, 607-621
Liu, X., Tu, Yl., 2008. Production planning with limited inventory capacity and allowed stockout. International Journal of Production Economics 111, 180-191.
Luss, H., 1982. Operations research and capacity expansion problems: a survey. Operations Research 30(5), 907-947.
Rajagopalan, S., Swaminathan, J.M., 2001. A coordinated production planning model with capacity expansion and inventory management. Management Science 47 (11),
1562–1580.
Rao, M.R., 1976. Optimal capacity expansion with inventory. Operations Research 24(2), 291-300.
Ryu, J.H., 2006. Multiperiod Planning Strategies with Simultaneous Consideration of Demand Fluctuations and Capacity Expansion. Ind. Eng. Chem. Res. 45(19), 6622-6625.
Zhong, J.H., Chu, F., Chu, C.B., Yang, S.L., 2006. Mixed backlogging and stock models with inventory capacity. IEEE Service Systems and Service Management.

指導教授

葉英傑(Ying-chieh Yeh)

審核日期

2013-7-23

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