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Application of Gene Expression Programming in the Reliability of Consecutive-k-out-of-n: F Systems with Identical Component Reliabilities

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Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques (ICIC 2007)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 2))

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Abstract

This paper presents a GEP-based simulation – data mining approach for obtaining closed-form reliability formulas of consecutive-k-out-of-n: F systems with identical component reliabilities. This work proves to be GEP’s first exploration into the reliability realm and also provides a new perspective for the reliability community to solve for complex reliability formulas. Experimentation has shown the feasibility and effectiveness of the proposed framework, although further revisions and developments must be made to the model in order to solve larger scale problems.

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References

  1. Chao, M.T., Fu, J.C., Koutras, M.V.: Survey of Reliability Studies of Consecutive-k-out-of-n: F & Related Systems, IEEE Trans. IEEE Trans. Reliability, 44 (1995) 120-127 44, 120–127 (1995)

    Article  Google Scholar 

  2. Chiang, D.T., Niu, S.C.: Reliability of consecutive-k-out-of-n: F System. IEEE Trans. Reliability R-30, 87–89 (1981)

    Google Scholar 

  3. Derman, C., Lieberman, J., Ross, S.: On the consecutive-k-out-of-n: F system. IEEE Trans. Reliability R-31, 57–63 (1982)

    Article  Google Scholar 

  4. Papastavridis, S.: Upper and lower bounds for the reliability of consecutive-k-out-of-n: F system. IEEE Trans. Reliability R-35, 607–610 (1986)

    Article  Google Scholar 

  5. Ferreira, C.: Gene Expression Programming: A New Adaptive Algorithm for Solving Problems. Complex Systems 13, 87–129 (2001)

    MathSciNet  MATH  Google Scholar 

  6. Zuo, J., Tang, C.J., Li, C., Chen, A.L., Yuan, C.A.: Time Series Prediction Based on Gene Expression Programming. In: Proceedings of the Fifth International Conference on Web-Age Information Management, Dalian, China (2004)

    Google Scholar 

  7. Xin, L., Chi, Z., Nelson, P.C., Tirpak, T.M.: Investigation of Constant Creation Techniques in the Context of Gene Expression Programming. In: Keijzer, M. (ed.) Late Breaking Paper at Genetic and Evolutionary Computation Conference, GECCO-2004, Seattle, Washington, USA, June 26-30 (2004)

    Google Scholar 

  8. Xin, L., Chi, Z., Xiao,W.M., Nelson, P.C.: Prefix Gene Expression Programming, In: Late Breaking Paper at Genetic and Evolutionary Computation Conference, GECCO-2005, June 25-29, Washington, D.C., USA (2005)

    Google Scholar 

  9. Xin, L., Chi, Z., Xiao, W.M., Nelson, P.C.: Direct Evolution of Hierarchical Solutions with Self-Emergent Substructures. In: Proceedings of the 4th International Conference on Machine Learning and Applications, ICMLA 2005, pp. 337-342. Los Angeles, CA, USA, (2005)

    Google Scholar 

  10. Liu, Y.C., Gao, L., Dong, L., Pan, B.L.: A New Method for Finding Constant Terms in the Context of Gene Expression Programming. In: Pre-proceedings of the International Conference Bio-Inspired Computing – Theory and Applications (BICTA2006), Volume of Evolutionary Computing Section, Wuhan, China September 18-22, pp. 195–200 (2006)

    Google Scholar 

  11. Ferreira, C.: Gene Expression Programming and the Evolution of Computer Programs. In: de Castro, L.N., Von Zuben, F.J. (eds.) Recent Development in Biologically Inspired Computing, Idea Group Publishing, pp. 82–103 (2004)

    Google Scholar 

  12. Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley Pub., Reading (1989)

    MATH  Google Scholar 

  13. Mitchell, M.: An Introduction to Genetic Algorithms (Complex Adaptive Systems). MIT Press, Cambridge (1996)

    Google Scholar 

  14. English, J.R., Usher, J., Taylor, G.D., Pohl, E.: Availability Modeling of Powered Roller Conveyers. In: Progress in Material Handling Research: 2006. Material Handling Institute (2006)

    Google Scholar 

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De-Shuang Huang Laurent Heutte Marco Loog

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Liu, Y., English, J., Pohl, E. (2007). Application of Gene Expression Programming in the Reliability of Consecutive-k-out-of-n: F Systems with Identical Component Reliabilities. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques. ICIC 2007. Communications in Computer and Information Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74282-1_25

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  • DOI: https://doi.org/10.1007/978-3-540-74282-1_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74281-4

  • Online ISBN: 978-3-540-74282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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