Skip to main content

Cost Optimization and High Available Heterogeneous Series-Parallel Redundant System Design Using Genetic Algorithms

  • Chapter
Computational Problems in Science and Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 343))

Abstract

Heterogeneous redundant series-parallel systems allow the mixing of components within the same subsystem. This diversity feature may improve the overall characteristics of the system compared with the homogeneous case in term of less susceptibility against so called common-cause failures and reduced cost. That means they guarantee longer availability and are quite suitable for systems that are designed to perform continuous processes. But the main challenging task is to determine the optimal design that corresponds to the minimal investment costs and satisfies the predefined constraints. This kind of combinatorial optimization tasks is perfectly solved using heuristic methods, since those approaches showed stability, powerfulness, and computing effectiveness in solving such matters. This task is more complex than the homogeneous case since the search space is getting larger due to the fact that every component available and that can be deployed in a subsystem has to be taken into account. This fact leads definitely to greater chromosome length and makes the search more time consuming. The algorithm has been implemented in Matlab and three different existing models (Levitin, Lisnianski, and Ouzineb) have been considered for a comparison with the homogeneous case and for validation purposes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Kuo, W., Rajendra Prasad, V., Tillman, F.A., Hwang, C.-L.: Optimal Reliability Design, Fundamentals and Applications. Cambridge University Press, Cambridge (2001)

    Google Scholar 

  2. Levitin, G., Lisnianski, A., Haim, H.B., Elmakis, D.: Genetic Algorithm and Universal Generating Function Technique for Solving Problems of Power System Reliability Optimization. The Israel Electric Corporation Ltd., Planning Development & Technology Division (2000)

    Google Scholar 

  3. Levitin, G., Lisnianski, A., Haim, H.B.: Redundancy optimization for series-parallel multi state systems. IEEE Trans. Reliab. 47(2) (1998)

    Google Scholar 

  4. Lisnianski, A., Livitin, G., Haim, H.B., Elmakis, D.: Power system optimization subject to reliability constraints. Electr. Power Syst. Res. 39, 145–152 (1996)

    Article  Google Scholar 

  5. Ouzineb, M.: Heuristiques éfficaces pour l’optimisation de la performance des systèmes séries-parallèles. Département d’informatique et de recherche opérationnelle Faculté des arts et des sciences, Université de Montréal, 2009

    Google Scholar 

  6. Ouzineb, M., Nourelfath, M., Gendreau, M.: Tabu search for the redundancy allocation problem of homogenous series-parallel multi-state systems. Reliab. Eng. Syst. Saf. 93, 1257–1272 (2008)

    Article  Google Scholar 

  7. Ouzineb, M., Nourelfath, M., Gendreau, M.: A heuristic method for non-homogeneous redundancy optimization of series-parallel multi-state systems. J. Heuristics 17(1), 1–22 (2009)

    Article  Google Scholar 

  8. Yalaoui, A., Chu, C., Châtelet, E.: Reliability allocation problem in a series–parallel system. Reliab. Eng. Syst. Saf. 90, 55–61 (2005)

    Article  Google Scholar 

  9. Li, C.-y., Chen, X., Yi, X.-s., Tao, J.-y.: Heterogeneous redundancy optimization for multi-state series–parallel systems subject to common cause failures. Reliab. Eng. Syst. Saf. 95, 202–207 (2010)

    Article  Google Scholar 

  10. Chaaban, W., Schwarz, M., Börcsök, J.: Budgetary and redundancy optimisation of homogeneous series-parallel systems subject to availability constraints using Matlab implemented genetic computing. In: 24th IET Irish, Signals and Systems Conference (ISSC 2013)

    Google Scholar 

  11. Holland, J.: Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

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

    MATH  Google Scholar 

  13. Tian, Z., Zuo, M.J., Huang, H.: Reliability-redundancy allocation for multi-state series-parallel systems. IEEE Trans. Reliab. 57(2), 303–310 (2008)

    Article  Google Scholar 

  14. Affenzeller, M., Winkler, S., Wagner, S., Beham, A.: Genetic Algorithms and Genetic Programming, Modern Concepts and Applications. CRC Press, Boca Raton (2009)

    Book  MATH  Google Scholar 

  15. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs, 3rd revised and extended edition. Springer, Berlin (2011)

    Google Scholar 

  16. Tillman, F.A., Hwang, C.-L., Kuo, W.: Optimization techniques for system reliability with redundancy—a review. IEEE Trans. Reliab. R-26(3), 148–155 (1977)

    Article  MathSciNet  Google Scholar 

  17. Levitin, G.: The Universal Generating Function in Reliability Analysis and Optimization. Springer, London (2005)

    Google Scholar 

  18. Chaaban, W., Schwarz, M., Börcsök, J.: Cost and redundancy optimization of homogeneous series-parallel multi-state systems subject to availability constraints using a Matlab implemented genetic algorithm. In: Recent Advances in Circuits, Systems and Automatic Control, WSEAS 2013, Budapest, Hungary, 2013

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Walid Chaaban .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Chaaban, W., Schwarz, M., Börcsök, J. (2015). Cost Optimization and High Available Heterogeneous Series-Parallel Redundant System Design Using Genetic Algorithms. In: Mastorakis, N., Bulucea, A., Tsekouras, G. (eds) Computational Problems in Science and Engineering. Lecture Notes in Electrical Engineering, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-15765-8_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15765-8_16

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15764-1

  • Online ISBN: 978-3-319-15765-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics