台灣政府於2002年提出兩兆雙星計畫，以規劃兩兆預期產值的半導體產業及影像顯示產業，而影像顯示產業中又以薄膜電晶體液晶顯示器 (TFT-LCD)可說是台灣極具影響力的產業。本研究以台灣六家TFT-LCD廠商作為研究對象，採用2009-2012年的資料，應用資料包絡分析法(Data Envelopment Analysis, DEA)評估產業績效與經營效率，透過文獻分析萃取出投入項目：固定資產、營業費用、研發費用與員工人數；以及產出項目：現金流量和稅前淨利。並以Malmquist生產力指數做跨年度之經營效率分析，期建立一套經營效率評量的客觀架構。最後透過灰關聯分析及Entropy權重分析，建立台灣TFT-LCD產業排名。本研究結果可作為台灣TFT-LCD產業分析自身經營效率優劣的影響因素，並從而進一步改善之建議。

In 2002, Taiwan government proposed Two Trillion and Twin Star Development Program for the development of semiconductor and image display industries. In the image display industry, the thin film transistor liquid crystal display (TFT-LCD) is the most important topic to effect the development of Taiwan’s economy. Therefore, in this study, we focus on this industry and investigate the six important companies using 2009-2012 data, and then we use DEA model to evaluate industry performance and operational efficiency. By the literature review, we extract the input variables, including fixed assets, operating expenses, R&D expenses and number of employees; and the output variables, including cash flow and net sales. Next, we use Malmquist productivity index to analyze the operating efficiency which is across of four years and establish an objective of operating efficiency assessment framework. Finally, we use grey relation analysis to investigate the rank between the chosen companies, and then we use entropy to decide the weight of the evaluated criteria. The analysis results can be provided for the information of further improvement to the TFT-LCD industry.

Contents I
List of Tables III
List of Figures V
Chapter1 Introduction 1
1.1 Research background and motives 1
1.2 Research purposes and objectives 3
1.3 Research framework 4
Chapter2 Literature Review 5
2.1 Data envelopment analysis 5
2.1.1 Literature review about DEA 5
2.2 Literature review about grey relation analysis 10
Chapter 3 Methodology 12
3.1 Data envelopment analysis (DEA) 12
3.1.1 CCR model	13
3.1.2 BCC model	15
3.2 Malmquist productivity index (MPI) 16
3.3 Grey relational analysis (GRA) 17
3.4 Entropy method 20
Chapter 4 Research Results 22
4.1 Collect the data of TFT-LCD companies 22
4.2 Data envelopment analysis 24
4.3 Malmquist productivity index 28
4.4 Grey relational analysis 33
Chapter 5 Conclusion 40
References 42

List of Tables
Table 2-1 Inputs and outputs list of literature	9
Table 4-1 Raw data of the TFT-LCD Industry in 2009 23
Table 4-2 Raw data of the TFT-LCD Industry in 2010 23
Table 4-3 Raw data of the TFT-LCD Industry in 2011 23
Table 4-4 Raw data of the TFT-LCD Industry in 2012 24
Table 4-5 Input and output variables correlation coefficient in 2009-2012 25
Table 4-6 Efficiencies of the TFT-LCD Industry in 2009	26
Table 4-7 Efficiencies of the TFT-LCD Industry in 2010	26
Table 4-8 Efficiencies of the TFT-LCD Industry in 2011	27
Table 4-9 Efficiencies of the TFT-LCD Industry in 2012	28
Table 4-10 The annual efficiency change results of TFT-LCD industry 29
Table 4-11 The efficiency change results of E Ink 31
Table 4-12 The efficiency change results of AUO	31
Table 4-13 The efficiency change results of Giantplus 32
Table 4-14 The efficiency change results of Hannstar 32
Table 4-15 The efficiency change results of Ampire 33
Table 4-16 The efficiency change results of Innolux 33
Table 4-17 Raw data after the data processing in 2009 34
Table 4-18 Reference sequence and inspected sequence in 2009 35
Table 4-19 Results of grey relational generating in 2009 35
Table 4-20 Results of grey relational distance in 2009 36
Table 4-21 Results of grey relational coefficient for TFT-LCD industry in 2009 36
Table 4-22 Results of grey relational analysis for TFT-LCD industry 37
Table 4-23 Results of entropy weight of each factor 38
Table 4-24 Results of grey relational coefficient with entropy weight in 2009 38
Table 4-25 Results of grey relational analysis with entropy weight for TFT-LCD industry 39
Table 4-26 Average grey relational grade with entropy weight of TFT-LCD industry 39

List of Figures
Figure 1-1 The Taiwanese flat panel display industry output value 3
Figure 3-1 The process of grey relational analysis 19
Figure 4-1 The annual efficiency change results of TFT-LCD industry 30

1. Banker R. D., Charnes A. and Cooper W.W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30(9), 1078-1092.
2. Carla A. F. A., Sergio P. S. and Joao F.C. S. (2013). Using Data Envelopment Analysis to support the design of process improvement interventions in electricity distribution. European Journal of Operational Research, 228(1), 226-235.
3. Chang, S. C. (2005). The TFT–LCD industry in Taiwan: competitive advantages and future developments. Technology in Society, 27(2), 199-215.
4. Charnes A., Cooper W. W. and Rhodes E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429-444.
5. Chen, Y. and Agha I. A. (2004). DEA Malmquist productivity measure: New insights with an application to computer industry. European Journal of Operational Research, 159(1), 239-249.
6. Chen, Y. S. and Chen, B. Y. (2011). Applying DEA, MPI, and grey model to explore the operation performance of the Taiwanese wafer fabrication industry. Technological Forecasting & Social Change, 78(3), 536-546.
7. Cheng, Y. H. and Lee, F. (2010). Outsourcing reverse logistics of high-tech manufacturing firms by using a systematic decision-making approach: TFT-LCD sector in Taiwan. Industrial Marketing Management, 39(7),1111-1119.
8. Chiu, Y. H., Luo, Z. Y., Chen, Y. C., Wang, Z. and Tsai, M. P. (2013). A comparison of operating performance management between Taiwan banks and foreign banks based on the Meta-Hybrid DEA model. Economic Modelling, 33, 433-439.
9. Cui, X. D., Huang, T., Liu, J., Li, L., Chen, J. Y., Liu, Y. J. (2014). Design of in-network caching scheme in CCN based on grey relational analysis. The Journal of China Universities of Posts and Telecommunications, 21(2), 1-8.
10. Deng J. I. (1982). Introduction to Grey System Theory. The Journal of Grey System, 1, 1-24.
11. Fare R., Grosskopf S., Lindgren B. and Roos P. (1992). Productivity Changes in Swedish Pharamacies 1980–1989: A Non-Parametric Malmquist Approach. The Journal of Productivity Analysis, 3, 85-101.
12. Gokhan E. and Deborah M. (2013). Benchmarking road safety of U.S. states: A DEA-based Malmquist productivity index approach. Accident Analysis & Prevention, 53(1), 55-64.
13. Hon, J. S. and Chu, S. J. (2011). Performance Assessment between Taiwan and Korea TFT-LCD Panel Industry from a Risk and Return Perspective before and after Global Financial Crisis. International Journal of Electronic Business Management, 9(2), 81-94.
14. Hu, M. C. (2008). Knowledge flows and innovation capability: The patenting trajectory of Taiwan's thin film transistor-liquid crystal display industry. Technological Forecasting and Social Change, 75(9), 1423-1438.
15. Hung, S. W. (2006). Competitive strategies for Taiwan's thin film transistor-liquid crystal display (TFT-LCD) industry. Technology in Society, 28(3), 349-361.
16. Hung, S. W., Tsai, J. M., Cheng, M. J., and Chen, P. C. (2012). Analysis of the development strategy of late-entrants in Taiwan and Korea’s TFT-LCD industry. Technology in Society, 34(1), 9-22.
17. Lai, W. C., Chang, T. P., Wang, J. J., Kan, C. W., Chen, W. W. (2012). An evaluation of Mahalanobis Distance and grey relational analysis for crack pattern in concrete structures. Computational Materials Science, 65, 115-121.
18. Lee, T. W., Lin, C. W. and Shin, S. H. (2012). A comparative study on financial positions of shipping companies in Taiwan and Korea using entropy and grey relation analysis. Expert Systems with Applications, 39(5), 5649-5657.
19. Lee, Z. Y. and Pai, C. C. (2011). Operation analysis and performance assessment for TFT-LCD manufacturers using improved DEA. Expert Systems with Applications, 38(4), 4014-4024.
20. Lin, M. I., Lee, Y. D. and Ho, T. N. (2011). Applying integrated DEA/AHP to evaluate the economic performance of local governments in China. European Journal of Operational Research , 209(2), 129-140.
21. Liu, F. H. F. and Wang, P. H. (2008). DEA Malmquist productivity measure: Taiwanese semiconductor companies. International Journal of Production Economics, 121(1), 367-379.
22. Lo, S. F. (2010). Global warming action of Taiwan’s semiconductor/TFT-LCD industries: How does voluntary agreement work in the IT industry? Technology in Society, 32(3), 249-254.
23. Luis D. B., Herruzo A. C., Margarita M. and Jacinto G. P. (2006). An analysis of productive efficiency and innovation activity using DEA: an application to Spain’s wood-based industry. Forest Policy and Economics, 8(7), 762-773.
24. Margarita M. N. and Waldo S. P. (2014). Efficiency analysis of information technology and online social networks management: an integrated DEA-model assessment. Information & Management, Online: http://dx.doi.org/doi:10.1016/j.im.2014.05.009.
25. Sankalpa B. (2012). Efficiency dynamics and sustainability of the Indian IT-ITeS industry: An empirical investigation using DEA. IIMB Management Review, 24(4), 203-214.
26. Tang, C. W. and Young, H. T. (2013). Using Grey relational analysis to determine wet chemical etching parameters in through-silicon-via etching application. Materials Science in Semiconductor Processing, 16(2), 403-409.
27. Toshiyuki S. and Mika G. (2012). Efficiency-based rank assessment for electric power industry: A combined use of Data Envelopment Analysis (DEA) and DEA-Discriminant Analysis (DA). Energy Economics, 34(3), 634-644.
28. Tseng, F. M., Chiu, Y. J. and Chen, J. S. (2009). Measuring business performance in the high-tech manufacturing industry: A case study of Taiwan's large-sized TFT-LCD panel companies. Omega, 37(3), 686-697.
29. Vinod K. Y., Yogesh K. C., Padhy N.P. and Gupta H.O. (2013). A novel power sector restructuring model based on Data Envelopment Analysis (DEA). Electrical Power and Energy Systems, 44(1), 629-637.
30. Wang, P., Meng, P., Zhai, J.Y. and Zhu, Z. Q. (2013). A hybrid method using experiment design and grey relational analysis for multiple criteria decision making problems. Knowledge-Based Systems, 53, 100-107.
31. Zhai, L., Khoo, L. and Zhong, Z. (2009). Design concept evaluation in product development using rough sets and grey relation analysis. Expert Systems with Applications, 36, 7072-7079.
32. Zhang, X., Jin, F. and Liu, P. (2013). A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number. Applied Mathematical Modelling, 37(5), 3467-3477.