簡易檢索 / 詳目顯示

研究生: 李寶錠
Bau-ding Lee
論文名稱: 在EOQ模式下考慮不良品項之隨機比率與其缺貨問題之研究
Economic Ordering Quantity Model for Items with Random Imperfect Quality Proportion and related Shortage Consideration
指導教授: 李強笙
Chiang-Sheng Lee
口試委員: 許總欣
Tsung-Shin Hsu
王孔政
Kung-Jeng Wang
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業管理系
Department of Industrial Management
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 72
中文關鍵詞: EOQ模式不良品項收入檢驗缺貨隨機變數
外文關鍵詞: EOQ model, Items with imperfect quality, Incoming inspection, Shortage, Random variables
相關次數: 點閱:256下載:5
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

在傳統的EOQ模式中包含了許多的假設和限制,其目的就是為了使模式簡單化,但這也使得EOQ模式很難去應用於多變的現實情況之下。譬如說,在EOQ模式中考慮所接收到的產品為100%的良品;但在一般的情況之下,產品會因為生產製程或是運輸配送等因素,多多少少會造成損壞。這些損壞的產品可以視為不良品項,然而EOQ模式中完全忽略了這個實務上會產生的假設。
Salameh和Jaber[19]在EOQ模式之中加入了不良品項的假設,並且考慮在新訂購批量到達之後會進行一個100%的品質檢驗程序。他們的目的是找出在EOQ模式包含不良品項下的最佳訂貨策略。但是,其後在Papachristos和Konstantaras[13]兩位作者合著的論文之中指出原始模式仍有一些不合理的地方。所以,於EOQ模式中考慮不良品項的假設,在模式的建構上,尚非完備,仍然有改進的空間。
本論文就是針對Salameh和Jaber[19]以及Papachristos和Konstantaras[13]所討論的模式提出適當的修正,以彌補原創考慮不足之處。最後以數值實例探討的方式來比較修正後模式的結果與以往的不同。


Even there are many assumptions and restrictions contained in the traditional EOQ model to make this model simple, the EOQ model is still hard to apply to the real-life situations. For instance, EOQ model considers the receipt of goods with 100% quality guaranteed, but the products may be defected in the production or transportation. These defective products can be regarded as imperfect items; however, EOQ model neglects this practical assumption completely.
Salameh and Jaber[19] added the assumption of items with imperfect quality to EOQ model and considered a 100% quality screening process after receiving new ordering batch. Their aim is to find an optimal order strategy under EOQ model with imperfect items. Subsequently, Papachristos and Konstantaras[13] pointed out that there still involved irrational premises in the article written by Salameh and Jaber. Therefore, the assumption of EOQ model for items with imperfect quality is incomplete, and hence there still has space to be improved.
The goal of this paper is to modify the incomplete assumptions on the models studied in papers [13] and [19], and provide some applicable revisions. At last, we compare the numerical results between the modified model and the former models.

目錄 摘要 i Abstract ii 誌謝 iii 目錄 iv 圖目錄 vi 表目錄 vii 第一章 緒論 1 1.1 研究背景與動機 1 1.2 研究目的 3 1.3 EOQ模式加入不良品項假設問題概述 3 1.4 研究架構 6 第二章 文獻探討 9 2.1 傳統EOQ存貨模型 9 2.2 不良品項討論的相關文獻 11 2.3 Salameh和Jaber[19]模式的應用與改進的相關文獻 13 第三章 修正後成本模式之推導 17 3.1 存貨模式說明 17 3.2 模式之符號定義與基本假設 18 3.2.1 模式之符號定義以及現實情況(scenario)之應用 18 3.2.2 模式之基本假設 20 3.3 成本模式之推導 21 3.3.1 批量中不良品項比率p的解釋 21 3.3.2 在p給定下批量的個數計算及其分配假設 22 3.3.3 缺貨情況之探討 24 3.3.4 成本模式之推導 26 3.3.5 在p為隨機情況下之存貨模式 28 第四章 數值範例和最佳訂購批量 32 4.1 固定和隨機的不良品項比率對於修正後成本模式之範例研究 32 4.1.1 在p為給定情況下的成本模式 32 4.1.2 在p為隨機情況下的成本模式 40 4.2 在p為隨機情況下不缺貨與缺貨模式之最佳訂購策略 44 4.2.1 在p為隨機情況下不缺貨模式之最佳訂購策略 44 4.2.2 在p為隨機情況下缺貨模式之最佳訂購策略 50 第五章 結論與未來研究方向 52 5.1 結論 52 5.2 未來研究方向 52 參考文獻 54 附錄–計算程式碼 57 作者簡介 65

【1】Cardenas-Barron, L. E., “Observation on: Economic production quantity model for items with imperfect quality,” International Journal of Production Economics, vol. 67, pp.201 (2000).
【2】Chan, W. M., R. N. Ibrahim and P.B. Lochert, “A new EPQ model: Integrating lower pricing, rework and reject situations.” Production Planning and Control, vol. 14, pp.588-595 (2003).
【3】Chang, H.C., “An application of fuzzy sets theory to the EOQ model with imperfect quality items,” Computers & Operation Research, vol. 31, pp.2079-2092 (2004).
【4】Cheng, T.C.E., “An Economic order quantity model with demand-dependent unit production cost and imperfect production processes,” IIE Transactions, vol. 23, pp.23-28 (1991).
【5】Chung, K.J. and K.L. Hou, “An optimal production run time with imperfect production processes and allowable shortage,” Computer & Operations Research, vol. 30, pp.483-490 (2003).
【6】Chung, K.J. and Yung-Fu. Huang, “Retailer’s Optimal Cycle Times in the EOQ Model with Imperfect Quality and Permissible Credit Period,” Quality & Quantity, vol. 40, pp.59-77 (2006).
【7】Goyal, S. K. and L. E. Gardenas-Barron, “Note on: economic production quantity model for items with imperfect quality–a practical approach,” International Journal of Production Economics, vol. 77, pp.85-87 (2002).
【8】Gurnani, H., Z. Drezner and R. Akella, “Capacity planning under different inspection strategies,” European Journal of Operational Research, vol. 89, pp.302-312 (1996).
【9】Kim, C.H. and Y. Hong, “An optimal production run length in deteriorating production processes,” International Journal of Production Economics, vol. 58, pp.183-189 (1999).
【10】Lin, C.S., “Integrated production-inventory model with imperfect production processes and a limited capacity for raw materials,” Mathematical and Computer Modeling, vol. 29, pp.81-89 (1999).
【11】Montgomery, D. C., Introduction to Statistical Quality Control, John Wiley and Sons, New York (2001).
【12】Osteryoung, J.S., D.E. McCarty and W.J. Reinhart, “Use of the EOQ model for inventory analysis,” Production and Inventory Management, vol. 27, pp.39-45 (1986).
【13】Papachristos, S. and I. Konstantaras, “Economic ordering quantity models for items with imperfect quality,” International journal of production economics, vol. 100, pp.148-154 (2006).
【14】Porteus, E.L., “Optimal lot sizing, process quality improvement and setup cost reduction,” Operations Research, vol. 34, pp.137-144 (1986).
【15】Rezaei, J., “Economic order quantity model with backorder for imperfect quality items,” IEEE International Engineering Management Conference Ⅱ, art. no.1559191, pp.466-470 (2005).
【16】Robert, L. D. and H. E. Arnett, The McGraw-Hill 36-Hour Accounting Course, McGraw-Hill, New York (1993).
【17】Rosenblatt, M.J., and H.L. Lee, “Economic production cycles with imperfect production processes,” IIE Transactions, vol. 18, pp.48-55 (1986).
【18】Ross, S.M., A first course in probability, Prentice Hall, New York (2002).
【19】Salameh, M.K. and M.Y. Jaber, “Economic production quantity model for items with imperfect quality,” International Journal of Production Economics, vol. 64, pp.59-64 (2000).
【20】Schwaller, R.L., “EOQ under inspection costs,” Production and Inventory Management Journal, vol. 29, pp.22-24 (1988).
【21】Silver, E. A., D. F. Pyke and R. Peterson, “Inventory Management and Production Planning and Scheduling,” John Wiley and Sons, New York (1998).
【22】Stevenson, W. J., Operations Management, McGraw-Hill, New York (2004).
【23】Waters, D., Inventory Control and Management, John Wiley and Sons, New York (2003).
【24】Wee, H. M., J. Yu and M. C. Chen, “Optimal inventory model for items with imperfect quality and shortage backordering,” Omega (The International Journal of Management Science), vol. 35, pp.7-11 (2007).
【25】Yu, C. P., H. M. Wee and J. M. Chen, “Optimal ordering policy for a deteriorating item with imperfect quality and partial backordering,” Journal of the Chinese Institute of Industrial Engineers, vol. 22, pp.509-520 (2005).
【26】Zhang, X. and, Y. Gerchak, “Joint lot sizing and inspection policy in an EOQ model with random yield,” IIE Transactions, vol. 22, pp.41-47 (1990).
【27】Zipkin, P. H., “Foundations Of Inventory Management,” McGraw-Hill, New York (2000).

QR CODE