Skip to main content

A Random Keys Based Genetic Algorithm for the Target Visitation Problem

  • Conference paper
Advances in Cooperative Control and Optimization

Abstract

The objective of the target visitation problem is to determine a path for an unmanned aerial vehicle that begins at a point of origin and needs to visit several targets before returning to its starting point. An optimal visitation sequence is one which minimizes the total distance traveled and maximizes the utility of the visitation order. This utility measure is defined for each pair of targets and represents the relative value of visiting a particular target before another. In this chapter, we present the results of a preliminary study investigating the effectiveness of a genetic algorithm for the target visitation problem. The encoding scheme is based on random keys. Numerical results are presented for a set of randomly generated test problems and compared with the optimal solutions as computed by a commercial integer programming package.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bean, J.C.: Genetic algorithms and random keys for sequencing and optimization. ORSA Journal on Computing 6(2), 154–160 (1994)

    MATH  Google Scholar 

  2. Butenko, S.I., Murphey, R.A., Pardalos, P.M. (eds.): Cooperative Control: Models, Applications, and Algorithms. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  3. Butenko, S.I., Murphey, R.A., Pardalos, P.M. (eds.): Recent Developments in Cooperative Control and Optimization. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  4. Chiarini, B.H., Chaovalitwongse, W., Pardalos, P.M.: A new algorithm for the triangulation of input-output tables in eEconomics. In: Pardalos, P., Migdalas, A., Baourakis, G. (eds.) Supply Chain and Finance, World Scientific, Singapore (2004)

    Google Scholar 

  5. Commander, C.W., Pardalos, P.M., Ryabchenko, V., Uryasev, S.: The wireless network jamming problem. In: Journal of Combinatorial Optimization (2007), doi:10.1007/s10878-007-9071-7

    Google Scholar 

  6. ILOG CPLEX: http://www.ilog.com/products/cplex , accessed October 2006

  7. Darwin, C.: The Origin of Species, 6th edn. Murray (1872)

    Google Scholar 

  8. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman, New York (1979)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  10. Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Kluwer Academic Publishers, Dordrecht (1989)

    MATH  Google Scholar 

  11. Gonçalves, J.F., Mendes, J.J.M., Resende, M.G.C.: A hybrid genetic algorithm for the job scho scheduling problem. European Journal of Operations Research 167, 77–95 (2005)

    Article  MATH  Google Scholar 

  12. Grundel, D.A., Jeffcoat, D.E.: Formulation and solution of the target visitation problem. In: Proceedings of the AIAA 1st Intelligent Systems Technical Conference (2004)

    Google Scholar 

  13. Hillier, F.S., Lieberman, G.J.: Introduction to Operations Research. McGraw-Hill, New York (2001)

    Google Scholar 

  14. Horst, R., Pardalos, P.M., Thoai, N.V.: Introduction to Global Optimization. Nonconvex Optimization and its Applications, vol. 3. Kluwer Academic Publishers, Dordrecht (1995)

    MATH  Google Scholar 

  15. King, J.: Three problems in search of a measure. American Mathematical Monthly 101, 609–628 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  16. Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., Shmoys, D.B. (eds.): The Traveling Salesman Problem. Wiley, Chichester (1985)

    MATH  Google Scholar 

  17. Murphey, R.A., Pardalos, P.M. (eds.): Cooperative Control and Optimization. Springer, Heidelberg (2002)

    Google Scholar 

  18. Oliveira, C.A.S., Pardalos, P.M., Querido, T.M.: A combinatorial algorithm for message scheduling on controller area networks. Int. Journal of Operations Res. 1(1/2), 160–171 (2005)

    Article  MATH  Google Scholar 

  19. Resende, M.G.C., Ribeiro, C.C.: Greedy randomized adaptive search procedures. In: Glover, F., Kochenberger, G. (eds.) Handbook of Metaheuristics, pp. 219–249. Kluwer Academic Publishers, Dordrecht (2003)

    Chapter  Google Scholar 

  20. Spears, W.M., DeJong, K.A.: On the virtues of parameterized uniform crossover. In: Proceedings of the Fourth International Conference on Genetic Algorithms, pp. 230–236 (1991)

    Google Scholar 

  21. Wolsey, L.: Integer Programming. Wiley, Chichester (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Panos M. Pardalos Robert Murphey Don Grundel Michael J. Hirsch

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Arulselvan, A., Commander, C.W., Pardalos, P.M. (2007). A Random Keys Based Genetic Algorithm for the Target Visitation Problem. In: Pardalos, P.M., Murphey, R., Grundel, D., Hirsch, M.J. (eds) Advances in Cooperative Control and Optimization. Lecture Notes in Control and Information Sciences, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74356-9_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74356-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74354-5

  • Online ISBN: 978-3-540-74356-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics