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Module partition of complex mechanical products based on weighted complex networks

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Abstract

It is tough to build an effective mathematical model to describe the complicated relationships in complex mechanical products, which leads to the module partition of complex mechanical products and the guarantee of accurate results become more difficult. In addition, the module partition method cannot bring about a satisfactory module partition result if the scale of the products is huge and complicated. In this case, complex network theory is used to solve these problems in this paper. Firstly, a weighted complex network is established to systematically express the structure of complex mechanical products. In particular, customer demands are taken into account for module partition by introducing customer involvement. Secondly, the interval-valued intuitionistic fuzzy sets are used to calculate the relationships between parts for reducing the subjectivity of the calculation process. Afterwards, a modified GN algorithm (community detection algorithm) is proposed to achieve the module partition of complex mechanical products. Finally, the module partition of a wind turbine is carried out to verify the effectiveness of the proposed method in this paper. The result of the case study shows that the modified GN algorithm achieves better module partition performance than the classical GN algorithm and fuzzy clustering analysis method, which obtains a satisfactory result for applications.

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References

  • Agard, B., & Bassetto, S. (2013). Modular design of product families for quality and cost. International Journal of Production Research, 51(6), 1648–1667.

    Article  Google Scholar 

  • Akg, N., Ali, E., Keskin, H., & Byrne, J. C. (2014). Complex adaptive systems theory and firm product innovativeness. Journal of Engineering & Technology Management, 31(1), 21–42.

    Google Scholar 

  • Albert, R., & Barabási, A. (2002). Statistical mechanics of complex networks. Reviews of Modern Physics, 74(1), xii.

  • Arenas, A., Danon, L., Díaz-Guilera, A., Gleiser, P. M., & Guimerá, R. (2004). Community analysis in social networks. The European Physical Journal B, 38(2), 373–380.

    Article  Google Scholar 

  • Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets & Systems, 20(1), 87–96.

    Article  Google Scholar 

  • Barabasi, A. L., & Albert, R. (1999). Emergence of scaling in random networks. Science, 286(5439), 509.

    Article  Google Scholar 

  • Beek, T. J. V., Erden, M. S., & Tomiyama, T. (2010). Modular design of mechatronic systems with function modeling. Mechatronics, 20(20), 850–863.

    Article  Google Scholar 

  • Beibei, F., & Guoning, Q. (2007). Modeling of product family stricture and module analysis method based on complex network. Chinese Journal of Mechanical Engineering, 43(3), 187–192.

    Article  Google Scholar 

  • Beibei, F., Guoning, Q., & Yangjian, J. (2009). Generation process of product family modularization based on complex network. Transactions of the Chinese Society for Agricultural Machinery, 40(7), 187–191.

    Google Scholar 

  • Bohu, L., & Xudong, C. (2002). Integrated manufacturing system technology of complex product. Aeronautical Manufacturing Technology, 5, 17–20.

    Google Scholar 

  • Browning, T. R. (2001). Applying the design structure matrix to system decomposition and integration problems: A review and new directions. IEEE Transactions on Engineering Management, 48(3), 292–306.

    Article  Google Scholar 

  • Chang, T.-R., Wang, C.-S., & Wang, C.-C. (2013). A systematic approach for green design in modular product development. The International Journal of Advanced Manufacturing Technology, 68(9), 2729–2741.

    Article  Google Scholar 

  • Chen, J., & Yuan, B. (2006). Detecting functional modules in the yeast protein–protein interaction network. Bioinformatics, 22(18), 2283–2290.

    Article  Google Scholar 

  • Chen, L., Ding, Z., & Li, S. (2005). A formal two-phase method for decomposition of complex design problems. Journal of Mechanical Design, 127(2), 184–195.

    Article  Google Scholar 

  • Chen, L., Macwan, A., & Li, S. (2007). Model-based rapid redesign using decomposition patterns. Journal of Mechanical Design, 129(3), 283–294.

    Article  Google Scholar 

  • Chen, Q., Wu, T. T., & Fang, M. (2013). Detecting local community structures in complex networks based on local degree central nodes. Physica A Statistical Mechanics & Its Applications, 392(3), 529–537.

    Article  Google Scholar 

  • Chung, W. H., Kremer, G. E. O., & Wysk, R. A. (2014). Life cycle implications of product modular architectures in closed-loop supply chains. The International Journal of Advanced Manufacturing Technology, 70(9), 2013–2028.

    Article  Google Scholar 

  • Dan, B., & Bar-Yam, Y. (2005). The statistical mechanics of complex product development: Empirical and analytical results. Management Science, 53(510005), 1127–1145.

    Google Scholar 

  • Diagne, S., Coulibaly, A., & Beuvron, F. D. B. D. (2016). Complex product modeling based on a Multi-solution eXtended Conceptual Design Semantic Matrix for behavioral performance assessment. Computers in Industry, 75(C), 101–115.

    Article  Google Scholar 

  • Eckert, C., Clarkson, P. J., & Zanker, W. (2004). Change and customisation in complex engineering domains. Research in Engineering Design, 15(1), 1–21.

    Article  Google Scholar 

  • ElMaraghy, H. A., & Mahmoudi, N. (2009). Concurrent design of product modules structure and global supply chain configurations. International Journal of Computer Integrated Manufacturing, 22(6), 483–493.

    Article  Google Scholar 

  • Ewski, J. (2004). Scaling in weighted networks and complex systems. Physica A Statistical Mechanics & Its Applications, 337(1), 336–356.

    Google Scholar 

  • Fan, B. (2007). Modeling of product family stricture and module analysis method based on complex network. Journal of Mechanical Engineering, 43(3), 186–187.

    Article  Google Scholar 

  • Fernandes, J., Henriques, E., Silva, A., & Moss, M. A. (2014). A method for imprecision management in complex product development. Research in Engineering Design, 25(4), 309–324.

    Article  Google Scholar 

  • Gao, Q., & Li, M. (2015). Method of identifying overlapping communities based on GN algorithm. Journal of Huazhong University of Science & Technology, 43(09), 13–18.

    Google Scholar 

  • Geng, X., Chu, X., & Zhang, Z. (2010). A new integrated design concept evaluation approach based on vague sets. Expert Systems with Applications, 37(9), 6629–6638.

    Article  Google Scholar 

  • Girvan, M., & Newman, M. E. J. (2002). Community structure in social and biological networks. Proceedings of the National Academy of Sciences of the United States of America, 99(12), 7821–7826.

    Article  Google Scholar 

  • Gu, P., & Sosale, S. (1999). Product modularization for life cycle engineering. Robotics and Computer-Integrated Manufacturing, 15(5), 387–401.

    Article  Google Scholar 

  • Guo, F., & Gershenson, J. K. (2007). Discovering relationships between modularity and cost. Journal of Intelligent Manufacturing, 18(1), 143–157.

    Article  Google Scholar 

  • Hegge, H. M. H., & Wortmann, J. C. (1991). Generic bill-of-material: A new product model. International Journal of Production Economics, 23(1–3), 117–128.

    Article  Google Scholar 

  • Hong, Y., & Su, J. (2008). Research on Chinese independent innovation of complex product systems. Journal of Public Management, 5(1), 76–83.

    Google Scholar 

  • Huang, J., Li, Y., Chu, X., & Chu, D. (2015). An integrated top-down design process evaluation approach of complex products and systems based on hierarchical design structure matrix. International Journal of Computer Integrated Manufacturing, 28(10), 1015–1029.

    Google Scholar 

  • Hui, D. U. (2012). Application of GN algorithm in product module partition. International Journal of Digital Content Technology & Its Applications, 6(14), 236–245.

    Article  Google Scholar 

  • Ji, Y., Jiao, R. J., Chen, L., & Wu, C. (2013). Green modular design for material efficiency: A leader–follower joint optimization model. Journal of Cleaner Production, 41(2), 187–201.

    Article  Google Scholar 

  • Keivanpour, S., & Kadi, D. A. (2016). An integrated approach to analysis and modeling of End of Life phase of the complex products. IFAC-PapersOnLine, 49(12), 1892–1897.

    Article  Google Scholar 

  • Kong, Y., Zhang, M., & Ye, D. (2016). A belief propagation-based method for task allocation in open and dynamic cloud environments. Knowledge-Based Systems, 115, 123–132.

    Article  Google Scholar 

  • Kremer, G. E. O., & Gupta, S. (2013). Analysis of modularity implementation methods from an assembly and variety viewpoints. The International Journal of Advanced Manufacturing Technology, 66(9), 1959–1976.

    Article  Google Scholar 

  • Kreng, V. B., & Lee, T. P. (2004). Modular product design with grouping genetic algorithm—A case study \(\star \). Computers & Industrial Engineering, 46(3), 443–460.

    Article  Google Scholar 

  • Kwapień, J., & Drożdż, S. (2012). Physical approach to complex systems. Physics Reports, 515(3–4), 115–226.

    Article  Google Scholar 

  • Lakshmana, G. N., Muralikrishnan, V., & Sivaraman, G. (2011). Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets. Expert Systems with Applications, 38(3), 1464–1467.

    Article  Google Scholar 

  • Li, N., Li, X., Shen, Y., Bi, Z., & Sun, M. (2015). Risk assessment model based on multi-agent systems for complex product design. Information Systems Frontiers, 17(2), 363–385.

    Article  Google Scholar 

  • Li, S., & Mirhosseini, M. (2012). A matrix-based modularization approach for supporting secure collaboration in parametric design. Computers in Industry, 63(6), 619–631.

    Article  Google Scholar 

  • Li, Y., Chu, X., Chu, D., Geng, X., & Wu, X. (2014a). An integrated approach to evaluate module partition schemes of complex products and systems based on interval-valued intuitionistic fuzzy sets. International Journal of Computer Integrated Manufacturing, 27(7), 675–689.

    Article  Google Scholar 

  • Li, Y., Chu, X., Chu, D., & Liu, Q. (2014b). An integrated module partition approach for complex products and systems based on weighted complex networks. International Journal of Production Research, 52(15), 4608–4622.

    Article  Google Scholar 

  • Li, Y., Wang, Z., Zhang, L., Chu, X., & Xue, D. (2016). Function Module Partition for Complex Products and Systems Based on Weighted and Directed Complex Networks. Journal of Mechanical Design, 139(02), 021101-021101-13.

  • Li, Z., Cheng, Z., Feng, Y., & Yang, J. (2013). An integrated method for flexible platform modular architecture design. Journal of Engineering Design, 24(1), 1–20.

    Article  Google Scholar 

  • Liang, H. (2004). Review of theory, key technologies and its application of modular product design. Chinese Journal of Mechanical Engineering, 40(1), 56.

    Article  Google Scholar 

  • Lin, M. J. J., & Huang, C. H. (2013). The impact of customer participation on NPD performance: The mediating role of inter-organisation relationship. Journal of Business & Industrial Marketing, 28(1), 93–106.

    Article  Google Scholar 

  • Liu, N., Li, G., Wu, L., & Wu, Z. (2015). Research on the variation propagation model for complex mechanical product processing \(\star \). Procedia Cirp, 27, 270–275.

    Article  Google Scholar 

  • Lou, H., Li, S., & Zhao, Y. (2013). Detecting community structure using label propagation with weighted coherent neighborhood propinquity. Cambridge: MIT Press.

    Book  Google Scholar 

  • Luo, F., Wang, J. Z., & Promislow, E. (2006). Exploring local community structures in large networks. Paper presented at the Ieee/wic/acm International Conference on Web Intelligence.

  • Na, A. N., Xie, F. D., & Zhang, Y. (2008). New method for text concept clustering based on GN algorithm. Computer Engineering & Applications, 44(14), 142–144.

    Google Scholar 

  • Newman, M. E., & Girvan, M. (2004). Finding and evaluating community structure in networks. Physical Review E Statistical Nonlinear & Soft Matter Physics, 69(2 Pt 2), 026113–026113.

    Article  Google Scholar 

  • Newman, M. E. J. (2004). Analysis of weighted networks. Physical Review E Statistical Nonlinear & Soft Matter Physics, 70(2), 056131. doi:10.1103/PhysRevE.70.056131.

    Article  Google Scholar 

  • Newman, M. E. J. (2006). The structure and function of complex networks. SIAM Review, 45(2), 167–256.

    Article  Google Scholar 

  • Pandremenos, J., & Chryssolouris, G. (2011). A neural network approach for the development of modular product architectures. International Journal of Computer Integrated Manufacturing, 24(10), 879–887.

    Article  Google Scholar 

  • Prasad, B. (1998). Review of QFD and related deployment techniques. Journal of Manufacturing Systems, 17(3), 221–234.

    Article  Google Scholar 

  • Prasad, G. J. (2003). Product modularity: Definitions and benefits. Journal of Engineering Design, 14(3), 295–313.

    Article  Google Scholar 

  • Sayama, H., Pestov, I., Schmidt, J., Bush, B. J., Wong, C., Yamanoi, J., et al. (2013). Modeling complex systems with adaptive networks. Computers & Mathematics with Applications, 65(10), 1645–1664.

    Article  Google Scholar 

  • Shaik, A. M., Rao, V. V. S. K., & Rao, C. S. (2015). Development of modular manufacturing systems—A review. The International Journal of Advanced Manufacturing Technology, 76(5), 789–802.

    Article  Google Scholar 

  • Shanthi, S. A., & Vadivel, J. (2015). Decision making method based on similarity measure of interval valued intuitionistic fuzzy soft set. Paper presented at the Interdisciplinary National Conference on Soft Computing and its Applications.

  • Sharma, D., & Surolia, A. (2013). Degree centrality. New York: Springer.

    Book  Google Scholar 

  • Smith, S., & Yen, C. C. (2010). Green product design through product modularization using atomic theory. Robotics and Computer-Integrated Manufacturing, 26(6), 790–798.

    Article  Google Scholar 

  • Soares, M. D. S., & Vrancken, J. (2012). A modular Petri net to modeling and scenario analysis of a network of road traffic signals. Control Engineering Practice, 20(11), 1183–1194.

    Article  Google Scholar 

  • Sommer, U. (1995). An experimental test of the intermediate disturbance hypothesis using cultures of marine phytoplankton. Limnology and Oceanography, 40(7), 1271–1277.

    Article  Google Scholar 

  • Strogatz, S. H. (2001a). Exploring complex networks. Nature, 410(6825), 268.

    Article  Google Scholar 

  • Strogatz, S. H. (2001b). Exploring complex networks. Nature, 410(6825), 268–276.

    Article  Google Scholar 

  • Sun, H., Wang, X., & University, Y. (2016). Application of entropy weight method based on grey cognate analysis in enterprise performance evaluation. Journal of Natural Science of Heilongjiang University, 33(05), 581–586.

    Google Scholar 

  • Tyler, J. R., Wilkinson, D. M., & Huberman, B. A. (2003). Email as spectroscopy: Automated discovery of community structure within organizations. Netherlands: Springer.

    Google Scholar 

  • Watts, D. J., & Strogatz, S. H. (1998). Collectivedynamics of ‘small-world’ networks. Paper presented at the Nature.

  • Wei, D. Q., Luo, X. S., & Zhang, B. (2012). Analysis of cascading failure in complex power networks under the load local preferential redistribution rule. Physica A Statistical Mechanics & Its Applications, 391(8), 2771–2777.

    Article  Google Scholar 

  • Wilkinson, D. M., & Huberman, B. A. (2004). A method for finding communities of related genes. Proceedings of the National Academy of Sciences of the United States of America, 101(Suppl. 1), 5241–5248.

    Article  Google Scholar 

  • Xian chao, W. U., Xiao feng, L. V., & Sun, J. G. (2006). Research on configuration & integration based on generic product structure. Computer Integrated Manufacturing Systems, 12(6), 868-846.

    Google Scholar 

  • Xiao, Y. L., Liu, X. J., & Liu, J. B. (2005). The method of giving weight for performance indicator based on entropy method. Journal of Daqing Petroleum Institute, 29(1), 107–109.

    Google Scholar 

  • Yang, S. J. (2005). Exploring complex networks by walking on them. Physical Review E Statistical Nonlinear & Soft Matter Physics, 71(1 Pt 2), 016107.

    Article  Google Scholar 

  • Yang, X. H., Chen, G., Sun, B., Chen, S. Y., & Wang, W. L. (2011). Bus transport network model with ideal n-depth clique network topology. Physica A Statistical Mechanics & Its Applications, 390(23–24), 4660–4672.

    Article  Google Scholar 

  • Ye, J. (2009). Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment. Expert Systems with Applications, 36(3), 6899–6902.

    Article  Google Scholar 

  • Ye, J. (2011). Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives. Expert Systems with Applications, 38(5), 6179–6183.

    Article  Google Scholar 

  • Yu, C., & Teng, H. F. (2011). Advances of coupling analysis for product design. Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems Cims, 17(8), 1729–1736.

    Google Scholar 

  • Yu, S., Yang, Q., Tao, J., Tian, X., & Yin, F. (2011). Product modular design incorporating life cycle issues—Group Genetic Algorithm (GGA) based method. Journal of Cleaner Production, 19(9), 1016–1032.

    Article  Google Scholar 

  • Zhang, H., & Tan, J. (2007). Research on product’s module partition for generalized engineering change. China Mechanical Engineering, 3, 2227–2232.

    Google Scholar 

  • Zou, Z. H., Yun, Y., & Sun, J. N. (2006). Entropy method for determination of weight of evaluating indicators in fuzzy synthetic evaluation for water quality assessment. Journal of Environmental Sciences, 18(5), 1020–1023.

    Article  Google Scholar 

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Acknowledgements

The authors express sincere appreciation to the anonymous referees for their helpful comments to improve the quality of this paper. This study was supported by National Natural Science Foundation of China under Grant No. 71571023 and a grant from China-US Computer Science Research Center (No. KJR16193).

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  1. The State Key Laboratory of Mechanical Transmission, Chongqing University, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China

    Na Zhang, Yu Yang, Yujie Zheng & Jiafu Su

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  1. Na Zhang
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  2. Yu Yang
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  3. Yujie Zheng
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Correspondence to Yu Yang.

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Zhang, N., Yang, Y., Zheng, Y. et al. Module partition of complex mechanical products based on weighted complex networks. J Intell Manuf 30, 1973–1998 (2019). https://doi.org/10.1007/s10845-017-1367-6

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