Journal of Software - Academy Publisher
Journal of Software - Academy Publisher Journal of Software - Academy Publisher
900 JOURNAL OF SOFTWARE, VOL. 6, NO. 5, MAY 2011 ACKNOWLEDGMENT Project supported by the National High-Tech. R&D Program, China (No. 2009AA04Z119), the National Natural Science Foundation, China (No. 50835008), the National Major Scientific and Technological Special Project for “High-grade CNC and Basic Manufacturing Equipment”, China (No.2009ZX04014-016 ; 2009ZX04001-013;2009ZX04001-023; 2010ZX04014- 015), and supported by Open Research Foundation of State Key Lab. of Digital Manufacturing Equipment & Technology in Huazhong University of Science & Technology. REFERENCES [1] L. Jinghong, Z. P. Mourelatos, and T. Jian, "A single-loop method for reliability-based design optimisation," International Journal of Product Development, pp. 76-92, 2008. [2] H. Shimizu, Y. Otsuka, and H. Noguchi, "Design review based on failure mode to visualise reliability problems in the development stage of mechanical products," International Journal of Vehicle Design, vol. 53, pp. 149- 165, 2010. [3] A. Mohsine, G. Kharmanda, and A. El-Hami, "Improved hybrid method as a robust tool for reliability-based design optimization," Structural and Multidisciplinary Optimization, vol. 32, pp. 203-213, 2006. [4] B. D. Youn, K. K. Choi, and Y. H. Park, "Hybrid analysis method for reliability-based design optimization," Transactions of the ASME. Journal of Mechanical Design, vol. 125, pp. 221-32, 2003. [5] X. P. Du and W. Chen, "Sequential optimization and reliability assessment method for efficient probabilistic design," Journal of Mechanical Design, vol. 126, pp. 225- 233, 2004. [6] H. C. Gea and K. Oza, "Two-level approximation method for reliability-based design optimisation," International Journal of Materials & Product Technology, vol. 25, pp. 99-111, 2006. [7] [7] K. Chwail and K. K. Choi, "Reliability-based design optimization using response surface method with prediction interval estimation," Journal of Mechanical Design, p. 121401 (12 pp.), 2008. [8] X. L. Yin and W. Chen, "Enhanced Sequential Optimization and Reliability Assessment method for probabilistic optimization with varying design variance," Structure and Infrastructure Engineering, vol. 2, pp. 261- 275, 2006. [9] I. Lee, K. K. Choi, L. Du, and D. Gorsich, "Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems," Computer Methods In Applied Mechanics and Engineering, vol. 198, pp. 14-27, 2008. [10] Z. Qiang, L. Shouju, and T. Ying, "Multi-objective Incomplete Probability Information Optimization Reliability Design Based on Ant Colony Algorithm," Journal of Software Engineering and Applications, pp. 350-3, 2009. [11] K. Injoong, "Reliability object model tree (ROM-Tree): a system design-for-reliability method," Microelectronics Reliability, pp. 438-46, 2010. © 2011 ACADEMY PUBLISHER [12] P. Bhattacharjee, K. Ramesh Kumar, and T. A. Janardhan Reddy, "Reliability design evaluation and optimization of a nitrogen gas bottle using response surface method," International Journal of Reliability, Quality and Safety Engineering, vol. 17, pp. 119-132, 2010. [13] T. L. Saaty, "The Analytic Hierarchy Process," New York: McGraw Hill, 1980. [14] N. Y. Secme, A. Bayrakdaroglu, and C. Kahraman, "Fuzzy performance evaluation in Turkish Banking Sector using Analytic Hierarchy Process and TOPSIS," Expert Systems with Applications, vol. 36, pp. 11699-11709, 2009. [15] S. Parthasarathy and N. Anbazhagan, "Evaluating ERP implementation choices using AHP," International Journal of Enterprise Information Systems, pp. 52-65, 2007. [16] T. Soota, H. Singh, and R. Mishra, "Defining characteristics for product development using quality function deployment: a case study on Indian bikes," Quality Engineering, pp. 195-208, 2008. [17] R. Benayoun, B. Roy, and N. Sussman, "Manual de reference du programme electre," Note De Synthese et Formaton, vol. 25, 1966. [18] B. Roy, "Classement et choix en presence de points de vue multiples: La methode ELECTRE," R.I.R.O, vol. 8, pp. 57- 75, 1968. [19] A. Teixeira De Almeida, "Multicriteria modelling for a repair contract problem based on utility and the ELECTRE I method," IMA Journal of Management Mathematics, vol. 13, pp. 29-37, 2002. [20] A. Shanian and O. Savadogo, "ELECTRE I decision support model for material selection of bipolar plates for Polymer Electrolyte Fuel Cells applications," Journal of New Materials for Electrochemical Systems, vol. 9, pp. 191-199, 2006. [21] [N. Bojkovic, I. Anic, and S. Pejcic-Tarle, "One solution for cross-country transport-sustainability evaluation using a modified ELECTRE method," Ecological Economics, vol. 69, pp. 1176-1186, 2010. [22] A. T. de Almeida, "Multicriteria decision model for outsourcing contracts selection based on utility function and ELECTRE method," Computers & Operations Research, vol. 34, pp. 3569-3574, 2007. Jihong Pang was born in Beihai, Guangxi Zhuangzu Autonomous Region, China, on January 10, 1978. He received his master's degree in Management Science and Engineering from Tianjin University in 2006. Currently, he is a PH.D candidate with Mechanical Engineering at the College of Mechanical Engineering, Chongqing University in China since 2008. His main research interest is quality and reliability engineering, industrial engineering (IE), Enterprise Resource Planning (ERP). Genbao Zhang is a professor at Chongqing University. His main research interest is quality and reliability engineering, enterprise informatization, advanced manufacturing technology. Guohua Chen is a PH.D candidate with Mechanical Engineering at Chongqing University. His main research interest is quality engineering, supply chain management.
JOURNAL OF SOFTWARE, VOL. 6, NO. 5, MAY 2011 901 Fractional Modeling Method Research on Education Evaluation Chunna Zhao Information Engineering College, Capital Normal University, Beijing, China Email: chunnazhao@163.com Yu Zhao Yunnan Technician College, Kunming, China Email: yuzhao66@163.com Liming Luo Information Engineering College, Capital Normal University, Beijing, China Email: luolm@mail.cnu.edu.cn Yingshun Li Engineering College, Shenyang University of Technology, Liaoyang, China Email:liyingshunok@163.com Abstract—Education assessment is one of important measures that will be to ensure and continuously improve the educational level and educational quality. A fractional order model method for education evaluation is proposed in this paper. Improved fractional Basset force model is referred to constitute the complex education evaluation model. The detailed descriptions are displayed through building block diagram. An algorithm for linear fractional order systems is described. The fractional evaluation model is composed of fractional order and common coefficient. Model parameters can be determined by a large number of actual data and mathematical statistics method. The proposed model was applied to actual course evaluation work of Capital Normal University. The practicability and effectiveness of the method have been validated. Index Terms—fractional order, model, evaluation I. INTRODUCTION Post-Secondary Education Accreditation Council is set up in the United States in 1975. And this is the first institution of higher education assessment. In China educational assessment of colleges and universities began in the twentieth century, the eighties. Educational assessment is the efficient means that higher education institution realizes the higher education self-perfecting, self-regulation and self-improvement. Higher education assessment is one of important measures that will be to ensure and continuously improve the educational level and educational quality of China's institutions of higher Manuscript received January 10, 2010; revised June 15, 2010; accepted July 16, 2010. This work is supported by Beijing Education Committee Science(KM201010028021) and Technology Foundation and Liaoning Nature Science Foundation (20082044, 20060624) © 2011 ACADEMY PUBLISHER doi:10.4304/jsw.6.5.901-907 learning. It aims to improve the quality of instruction and promote teaching reform. There is more and more research on education evaluation recently. Reference [1] applies a growth modeling approach to the stability of teaching effectiveness. Reference [2] contributes to the conceptual and empirical distinction between appraisals of teaching behavior and self-reported competence acquirement within academic education evaluation. Reference [3] examined the effects of embedding special education instruction into pre-service general education assessment courses. Some methods had not considered the existence of objective weight, so that the result is too subjective. Because education evaluation is a complex nonlinear process that affected by many factors, traditional integer order calculus model is unable to accurately describe its action. Fractional order system is established on the idea of fractional order calculus and theory of fractional order differential equations, which is an extension to the conventional calculus problems. It is well known that fractional order systems itself is an infinite dimensional filter due to the fractional order in the differentiator or integrator while the integer-order systems are with limited memory(finite dimensional). There has been a surge of interest in the possible engineering application of fractional order differentiation. Examples may be found in [4] and [5]. Some applications including automatic control are surveyed in [6]. The significance of fractional order theory is that it is a generalization of classical integral order theory, which could lead to more adequate modeling and more robust control performance. Fractional order systems could model various real materials more adequately than integer order ones and thus provide an excellent modeling tool in describing many actual dynamical processes[7]. Fractional model provides the scientific basis for prevention and treatment of satellite monitoring
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900 JOURNAL OF SOFTWARE, VOL. 6, NO. 5, MAY 2011<br />
ACKNOWLEDGMENT<br />
Project supported by the National High-Tech. R&D<br />
Program, China (No. 2009AA04Z119), the National<br />
Natural Science Foundation, China (No. 50835008), the<br />
National Major Scientific and Technological Special<br />
Project for “High-grade CNC and Basic Manufacturing<br />
Equipment”, China (No.2009ZX04014-016 ;<br />
2009ZX04001-013;2009ZX04001-023; 2010ZX04014-<br />
015), and supported by Open Research Foundation <strong>of</strong><br />
State Key Lab. <strong>of</strong> Digital Manufacturing Equipment &<br />
Technology in Huazhong University <strong>of</strong> Science &<br />
Technology.<br />
REFERENCES<br />
[1] L. Jinghong, Z. P. Mourelatos, and T. Jian, "A single-loop<br />
method for reliability-based design optimisation,"<br />
International <strong>Journal</strong> <strong>of</strong> Product Development, pp. 76-92,<br />
2008.<br />
[2] H. Shimizu, Y. Otsuka, and H. Noguchi, "Design review<br />
based on failure mode to visualise reliability problems in<br />
the development stage <strong>of</strong> mechanical products,"<br />
International <strong>Journal</strong> <strong>of</strong> Vehicle Design, vol. 53, pp. 149-<br />
165, 2010.<br />
[3] A. Mohsine, G. Kharmanda, and A. El-Hami, "Improved<br />
hybrid method as a robust tool for reliability-based design<br />
optimization," Structural and Multidisciplinary<br />
Optimization, vol. 32, pp. 203-213, 2006.<br />
[4] B. D. Youn, K. K. Choi, and Y. H. Park, "Hybrid analysis<br />
method for reliability-based design optimization,"<br />
Transactions <strong>of</strong> the ASME. <strong>Journal</strong> <strong>of</strong> Mechanical Design,<br />
vol. 125, pp. 221-32, 2003.<br />
[5] X. P. Du and W. Chen, "Sequential optimization and<br />
reliability assessment method for efficient probabilistic<br />
design," <strong>Journal</strong> <strong>of</strong> Mechanical Design, vol. 126, pp. 225-<br />
233, 2004.<br />
[6] H. C. Gea and K. Oza, "Two-level approximation method<br />
for reliability-based design optimisation," International<br />
<strong>Journal</strong> <strong>of</strong> Materials & Product Technology, vol. 25, pp.<br />
99-111, 2006.<br />
[7] [7] K. Chwail and K. K. Choi, "Reliability-based design<br />
optimization using response surface method with<br />
prediction interval estimation," <strong>Journal</strong> <strong>of</strong> Mechanical<br />
Design, p. 121401 (12 pp.), 2008.<br />
[8] X. L. Yin and W. Chen, "Enhanced Sequential<br />
Optimization and Reliability Assessment method for<br />
probabilistic optimization with varying design variance,"<br />
Structure and Infrastructure Engineering, vol. 2, pp. 261-<br />
275, 2006.<br />
[9] I. Lee, K. K. Choi, L. Du, and D. Gorsich, "Inverse<br />
analysis method using MPP-based dimension reduction for<br />
reliability-based design optimization <strong>of</strong> nonlinear and<br />
multi-dimensional systems," Computer Methods In<br />
Applied Mechanics and Engineering, vol. 198, pp. 14-27,<br />
2008.<br />
[10] Z. Qiang, L. Shouju, and T. Ying, "Multi-objective<br />
Incomplete Probability Information Optimization<br />
Reliability Design Based on Ant Colony Algorithm,"<br />
<strong>Journal</strong> <strong>of</strong> S<strong>of</strong>tware Engineering and Applications, pp.<br />
350-3, 2009.<br />
[11] K. Injoong, "Reliability object model tree (ROM-Tree): a<br />
system design-for-reliability method," Microelectronics<br />
Reliability, pp. 438-46, 2010.<br />
© 2011 ACADEMY PUBLISHER<br />
[12] P. Bhattacharjee, K. Ramesh Kumar, and T. A. Janardhan<br />
Reddy, "Reliability design evaluation and optimization <strong>of</strong> a<br />
nitrogen gas bottle using response surface method,"<br />
International <strong>Journal</strong> <strong>of</strong> Reliability, Quality and Safety<br />
Engineering, vol. 17, pp. 119-132, 2010.<br />
[13] T. L. Saaty, "The Analytic Hierarchy Process," New York:<br />
McGraw Hill, 1980.<br />
[14] N. Y. Secme, A. Bayrakdaroglu, and C. Kahraman, "Fuzzy<br />
performance evaluation in Turkish Banking Sector using<br />
Analytic Hierarchy Process and TOPSIS," Expert Systems<br />
with Applications, vol. 36, pp. 11699-11709, 2009.<br />
[15] S. Parthasarathy and N. Anbazhagan, "Evaluating ERP<br />
implementation choices using AHP," International <strong>Journal</strong><br />
<strong>of</strong> Enterprise Information Systems, pp. 52-65, 2007.<br />
[16] T. Soota, H. Singh, and R. Mishra, "Defining<br />
characteristics for product development using quality<br />
function deployment: a case study on Indian bikes,"<br />
Quality Engineering, pp. 195-208, 2008.<br />
[17] R. Benayoun, B. Roy, and N. Sussman, "Manual de<br />
reference du programme electre," Note De Synthese et<br />
Formaton, vol. 25, 1966.<br />
[18] B. Roy, "Classement et choix en presence de points de vue<br />
multiples: La methode ELECTRE," R.I.R.O, vol. 8, pp. 57-<br />
75, 1968.<br />
[19] A. Teixeira De Almeida, "Multicriteria modelling for a<br />
repair contract problem based on utility and the ELECTRE<br />
I method," IMA <strong>Journal</strong> <strong>of</strong> Management Mathematics, vol.<br />
13, pp. 29-37, 2002.<br />
[20] A. Shanian and O. Savadogo, "ELECTRE I decision<br />
support model for material selection <strong>of</strong> bipolar plates for<br />
Polymer Electrolyte Fuel Cells applications," <strong>Journal</strong> <strong>of</strong><br />
New Materials for Electrochemical Systems, vol. 9, pp.<br />
191-199, 2006.<br />
[21] [N. Bojkovic, I. Anic, and S. Pejcic-Tarle, "One solution<br />
for cross-country transport-sustainability evaluation using<br />
a modified ELECTRE method," Ecological Economics,<br />
vol. 69, pp. 1176-1186, 2010.<br />
[22] A. T. de Almeida, "Multicriteria decision model for<br />
outsourcing contracts selection based on utility function<br />
and ELECTRE method," Computers & Operations<br />
Research, vol. 34, pp. 3569-3574, 2007.<br />
Jihong Pang was born in Beihai,<br />
Guangxi Zhuangzu Autonomous Region,<br />
China, on January 10, 1978. He received<br />
his master's degree in Management<br />
Science and Engineering from Tianjin<br />
University in 2006.<br />
Currently, he is a PH.D candidate<br />
with Mechanical Engineering at the<br />
College <strong>of</strong> Mechanical Engineering,<br />
Chongqing University in China since 2008. His main research<br />
interest is quality and reliability engineering, industrial<br />
engineering (IE), Enterprise Resource Planning (ERP).<br />
Genbao Zhang is a pr<strong>of</strong>essor at Chongqing University. His<br />
main research interest is quality and reliability engineering,<br />
enterprise informatization, advanced manufacturing technology.<br />
Guohua Chen is a PH.D candidate with Mechanical<br />
Engineering at Chongqing University. His main research<br />
interest is quality engineering, supply chain management.