Skip to main content

Advertisement

Log in

Markov modelling and parameterisation of genetic evolutionary test generations

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

Genetic evolutionary algorithms are effective and optimal test generation methods. However, the methods to select the algorithm parameters are often ad hoc, relying on empirical data. We used a Markov-based method to model the genetic evolutionary test generation process, parameterise the process characteristics, and derive analytical solutions for selecting the optimisation parameters. The method eliminates preliminary test generation calibration and experimentation effort needed to select these parameters, which are used in current practice.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Buriol L.S., Hirsch M.J., Pardalos P.M., Querido T., Resende M.G.C., Ritt M.: A biased random-key genetic algorithm for road congestion minimization. Optim. Lett. 4(4), 619–633 (2010)

    Article  Google Scholar 

  2. Pardalos P.M., Romeijn E.: Handbook of global optimization—Volume 2. In: Pardalos, P.M., Romeijn, E. (eds) Heuristic approaches, Kluwer, Dordrecht (2002)

    Google Scholar 

  3. Corno, F., Cumani, G., Reorda, M.S., Squillero, G.: Fully automatic test program generation for microprocessor cores. Design, Automation and Test in Europe (DATE2003), pp. 1006–1011. Munich (2003)

  4. Cheng, A., Lim, C.C.: Multi-objective genetic algorithms for system-on-chips verification. In: Proceedings of First World Congress on Global Optimization in Engineering and Science (WCGO2009). Changsha, (2009)

  5. Fogel D.B.: Evolutionary computation: toward a new philosophy of machine intelligence, 2nd edn. IEEE Press, New York (2000)

    Google Scholar 

  6. Nix A.E., Vose M.D.: Modeling genetic algorithms with Markov chains. Ann. Math. Artif. Intell. 5, 79–88 (1992)

    Article  Google Scholar 

  7. Mao, C. Y., Hu, Y. H.: Convergence analyses of simulated evolution algorithms, design Automation of High Performance VLSI Systems (GLSV’694), pp. 30–33. Madison (1994)

  8. Reaume D.J., Romeijn E.H., Smith R.L.: Implementing pure adaptive search for global optimization using Markov chain sampling. J. Glob. Optim. 20(1), 33–47 (2001)

    Article  Google Scholar 

  9. Baritompa W., Bulger D.W., Wood G.R.: Generating functions and the performance of backtracking adaptive search. J. Glob. Optim. 37(2), 159–175 (2007)

    Article  Google Scholar 

  10. Rechenberg I.: Evolution strategy: optimization of systems according to principles of the biological evolution. Frommann-Holzboog, Stuttgart (1973)

    Google Scholar 

  11. Grinstead C.M., Snell J.L.: Introduction to probability, 2nd edn. American Mathematical Society, Providence (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adriel Cheng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cheng, A., Lim, CC. Markov modelling and parameterisation of genetic evolutionary test generations. J Glob Optim 51, 743–751 (2011). https://doi.org/10.1007/s10898-011-9682-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10898-011-9682-5

Keywords

Navigation