近年來企業開始生產客製化產品以提高銷售量，由於環保議題抬頭加上歐美國家陸續頒布環境相關法規，使得企業必須負責回收其生產的舊產品，這對於生產客製化產品造成很大的困擾，因為客製化產品種類繁多，導致回收作業複雜，回收成本偏高，並且，產品中的零組件為了滿足顧客特定需求往往為非標準件，回收非標準化零組件進行再製造變得非常困難。本研究中提議使用模組化方式來設計產品以解決此問題。本文發展出一個兩期的數學模型來研究這個提議，在第一期廠商生產新產品並決定產品的定價與模組化程度；在第二期廠商同時生產新產品與回收再製造產品，廠商決定回收的量與第二期的產品價格。廠商可以回收的最大量受第一期的生產量所限制，同時也必須滿足政府最小回收量的要求。本文求解出所有決策變數的封閉型解，以及討論各種參數變化對模組化程度與回收數量的影響，並比較考慮模組化程度和不考慮模組化程度的模型比較，證明企業考慮模組化程度是必須且是有利的。

Companies have started to offer customized product to increase sales. Because of the rising awareness of environmental protection and stringent regulation, companies have to recycle the products they produced. It imposes great challenges for those producing customized products. Because the variety of products manufactured by producing customized products tends to be larger, the recycle process is more complicated and the recycle cost is higher. To satisfy customers’ diverse needs, components used in these products usually are not standardized. It is very difficult to recycle non-standardized components for remanufacturing purpose. In this paper, modular product design approach is proposed to solve this problem. A two period mathematic model is developed to study this approach. In the first period, the company determines the price and the degree of modularity of the product. In the second period, the company produces new and remanufactured products at the same time. Price and recycle quantity are the decision variables. The maximum recycle amount is constrained by the number of new products produced in the first period. The company is required to recycle the minimum amount specified by the government. The closed form solutions of all the decision variables are found. How different factors impact the degree of modularity and recycle amount are discussed. In addition, we also develop a model which does not consider the degree of modularity. And then, we compare with the two models. It can show that companies should take into account the degree of modularity because of beneficial.

Balachandra, “Modular Design and Technological Innovation: The Case of the Hard Disk
Drives.” University of California (2002)
Dae-Won Choi , Hark Hwang a, Shie-Gheun Koh “A generalized ordering and recovery policy for reusable items,” European Journal of Operational Research,182, 764–774,(2007)
GU Qiaolun, and GAO Tiegang. Chain, “Two-period Price Management for Closed-loop Supply. ” Second International Conference on Information and Computing Science,(2009)
Geraldo Ferrer, and Jayashankar M. Swaminathan, “Managing New and Remanufactured Products. ” Management Science , 52,15-26, (2006)
Geraldo Ferrer, and Jayashankar M. Swaminathan, “Managing new and differentiated remanufactured products.” European Journal of Operational Research, 203,370-379,(2010)
Hans S. Heese , Kyle Cattani, Geraldo Ferrer, Wendell Gilland, Aleda V. Roth, “Competitive advantage through take-back of used products” European Journal of Operational Research, 164, 143–157,(2005)
Kim, K, and Chhajed, D. “Commonality in product design: Cost saving, valuation change and cannibalization.” European Journal of Operational Research , 125(3), 602-621,(2000)
Konstantaras, S. Papachristos , “Optimal policy and holding cost stability regions in a periodic review inventory system with manufacturing and remanufacturing options,” European Journal of Operational Research, 178, 433–448,(2007)
Laurens G. Debo, L. Beril Toktay, and Luk N. Van Wassenhove, “Market Segmentation and Product Technology Selection for Remanufacturable Products.” Management Science, 51, 1193-1205,(2005)
Mikkola, J.H, and Gassmann,O. “Managing Modularity of product architectures: toward an integrated theory.” IEEE Transaction on Engineering Management, 50(2), 204-218,(2003)
Marl E. Ferguson and L. Beril Toktay, “The Effect of Competition on Recovery Strategies.”
Production and Operations Management, 15,351-368, (2006)
Necati Aras, Tamer Boyaci and, Vedat Verter, “The effect of categorizing returned products in remanufacturing.” IIE Transactions, 36,319-331, (2004)
Pranab Majumder and Harry Groenevelt, “Competition In Remanufacturing ” PRODUCTION AND OPERATIONS MANAGEMENT,10, 1059-1478,(2001)
Padmanabhan, V., Png , I.P.L., “Manufacturer’s returns policies and retail competition. Marketing Science,” 16 (1), 81–94,(1997)
R.Canan Savaskan, and Luk N. Van wassenhove., “Reverse Channel Design: The Case of Competing Retailers.” Management Science, 52,1-14,(2006)
R. Canan Savaskan , Shantanu Bhattacharya ,and Luk N. Van Wassenhove, “Closed-Loop Supply Chain Models with Product Remanufacturing” Management Science,50,239–252,(2004)
Ruud Teunter , Konstantinos Kaparis , Ou Tang, “Multi-product economic lot scheduling problem with separate production lines for manufacturing and remanufacturing,” European Journal of Operational Research, 191,1241-1253,(2008)
Saibal Ray, Tamer Boyaci, and Necati Aras, “Optimal Prices and Trade-in Rebates for
Durable, Remanufacturable Products.” MANUFACTURING & SERVICE OPERATIONS MANAGEMENT, 7, 208 -228, (2005)
Samar K. Mukhopadhyay, and Robert Setoputro, “Optimal return policy and modular design for build-to-order products.” Journal of Operations Management, 23,496-506 , (2005).
Sanchez,R, “Using modularity to manage the interactions of technical and Industrial design.” Design Management Journal Academic Review, 2(1),8-19,( 2002)
Tsay, A., Agrawal, N., “Channel dynamics under price and service competition,” Manufacturing and Service Operations Management 2 (4), 372–391,(2000)
Wallace J. Hopp, and Xiaowei Xu, “Product Line Selection and Pricing with Modularity in Design.” Manufacturing & Service Operation Management, 7,172-187, (2005)
Yijiong Liang, Shaligram Pokharel , Geok Hian Lim, “Pricing used products for remanufacturing” European Journal of Operational Research, 193, 390-395,(2009)