博碩士論文 100426027 詳細資訊




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姓名 馮經輝(Jing-hui Feng)  查詢紙本館藏   畢業系所 工業管理研究所
論文名稱 考慮非均值隨機淘汰時間之存貨政策
(Inventory ordering policy with consideration of nonhomegeneous random obsolete time)
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摘要(中) 在一般研究腐敗性商品或流行性商品時,我們通常假設淘汰時間為固定常數。但是,在現實生活中不管是零件或商品都有屬於自己的淘汰時間,並且大多時候你並不知道它被淘汰的時間點為何。進而隨著時間的淘汰,也會有淘汰成本。因此,在我們的研究中,假設有一產品的淘汰時間為隨機且非均值。根據此產品的特性下,找出符合它的訂貨策略。
在本篇文章中,我們探討的重點為多期存貨模型結合失效率函數。而本篇文章的目標為利用我們所提供的近似求解方法,在近似最低成本下求解出每期的最佳存貨水準與最佳再訂購點。在數值分析章節中,我們使用模擬方法探討兩種情況對於真實成本的影響。第一種情況為原始多期存貨模型,則第二種情況為加入淘汰成本的新模型。最後,我們會觀察模型中的參數對於存貨水準和總成本的影響,也會藉由韋伯分配來看失效率和存貨水準的關係。
摘要(英) For general order policy, we can see a lot of literature that describes much environment. Nevertheless, only a few literature describes the sale of life with consideration of nonhomogeneous random obsolete time. We assume a kind of products, whose life is stochastic. The products are phased out, as their life of sale is over. We construct the special scenario of our research. We consider a kind of product with obsolete time, and the lead time equals to zero. In other words, we order the product which is replenished to the stock level immediately. In this research, we only consider a single product.
In the inventory model of our research, we combine multiperiod newsvendor model and nonhomogeneous random obsolete time, and construct a recursive function of dynamic programming with backward. The function includes the conditional probability of life, the phased out cost, the shortage cost, the holding cost and purchase cost in next period. In order to ordering the products, we optimize the function every period. Because we don’t know the time of phase out, we don’t have the optimal solution of total problem. We will simulate the order policy which is setted by us to represent the result in our study on the last chapter of numerical analysis.
關鍵字(中) ★ 多期存貨模型
★ 失效率函數
★ 韋伯分配
關鍵字(英) ★ Mutiperiod inventory model
★ Hazard rate function
★ Weibull distribution
論文目次 中文摘要 i
Abstract ii
Table of Content iii
List of Tables iii
List of Figures iii
Chapter 1 Introduction 1
1.1 Background and motivation 1
1.2 Research Objective 2
1.3 Research Framework 2
Chapter 2 Literature Review 4
2.1 Multiperiod inventory model 4
2.2 Hazard rate function 6
Chapter 3 Model and Analysis 7
3.1 Scenario setting 7
3.2 Model assumptions and notations 7
3.3 Hazard rate function 9
3.3.1 Weibull distribution 11
3.3.2 Conditional probability 12
3.4 Inventory model 13
3.4.1 Order policy 17
Chapter 4 Numerical Analysis 18
4.1 Numerical example 18
4.2 Sensitive analysis 23
4.2.1 Different range in those cost 23
4.2.2 Different shape parameter in weibull distribution 27
Chapter 5 Conclusions and future researches 29
5.1 Conclusion 29
5.2 Future research 30
Reference 31
參考文獻 1. Feller, W., 1950, ’’An Introduction to Probability theory and its Applications’’, New York: Wiley and Sons, Vol. 1.
2. Leonid, A., et al., 2001, ’’The Reliability Theory of Aging and Longevity’’, Journal of Theoretical Biology, pp.527-545.
3. Flynn, J., and Garstka, S., 1963, ’’A Dynamic Inventory Model with Periodic Auditing’’, Management Science, 9(2), pp.259-267.
4. Cohen, M. A., Kleindorfer, P. R. and Lee, H. L., 1988, ’’Service Constrained (s,S) Inventory Systems with Priority Demand Classes and Lost Sales’’, Management Science, 34(4), pp.482-499.
5. Bashyam, S. and Fu, M. C., 1997, ’’Optimization of (s,S) Inventory Systems with Random Lead Time and a Service Level Constraint’’, Management Science, 44(12), pp.243-256.
6. Petruzzi, N. C. and Dada, M., 1999, ’’Pricing and the Newsvendor Problem: A Review with Extensions’’, Operation Research, 47(2), pp.183-194.
7. Sahin, I., 1981, ’’On the Objective Function Behavior in (s,S) Inventory Models’’, Operation Research, 30(4), pp.709-724.
8. Scarf, H., 1960, ’’The Optimality of (s,S) Policies in the Dynamic Inventory Problem’’, Mathematical Method in the Social Sicence, Stanford University Press, Stanford, Calif.
9. Aneja, Y. and Noori, A. H., 1987, ’’The Optimality of (s,S) Policies for a Stochastic Inventory Problem with Proportional and Lump-sum Penalty Cost’’, Management Science, 33(6), pp.750-755.
10. Tsitsiklis, J. N., 1984, ’’Periodic Review Inventory Systems with Continuous Demand and Discrete Order Sizes’’, Management Sience, 30(10), pp.1250-1254.
11. Flynn, J. and Garstka, S., 1995, ’’The Optimal Review Period in a Dynamic Inventory Model’’, Operations Research, 45(5), pp.736-750.
12. Schal, M., 1976, ’’On the Optimality of (s,S)-Policies in the Dynamic Inventory Models with Finite Horizon’’, SIAM Journal on Applied Mathematics, 30(3), pp.528-537.
指導教授 葉英傑(Ying-chieh Yeh) 審核日期 2013-7-24
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