Skip to main content

Application of Adjusted Differential Evolution in Optimal Sensor Placement for Interior Coverage

  • Conference paper
  • First Online:
Proceedings of Sixth International Congress on Information and Communication Technology

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 235))

  • 1155 Accesses

Abstract

It is well known that determining visual sensors in 2D space can be often modeled as an Art Gallery problem. Tasks such as surveillance dictate the coverage of the interior of a non-convex polygon with the optimal number of sensors. The optimal sensor placement is a difficult combinatorial optimization problem, and it can be formulated as seeking the smallest number of sensors obliged to cover every point in a heterogeneous setting. In this article, we propose a suboptimal deterministic algorithm, as well as an adapted differential evolution algorithm for tackling sensor placement. Both versions of novel algorithms have been implemented and tested over hundreds of random polygons. According to the outcomes presented in the experimental analysis, it can be noticed that the approach based on differential evolution beats the deterministic technique as well as other stochastic optimization algorithms for practically all instances.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
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

References

  1. Alihodzic A (2016) Fireworks algorithm with new feasibility-rules in solving uav path planning. In: 2016 3rd International Conference on Soft Computing Machine Intelligence (ISCMI), pp 53–57. https://doi.org/10.1109/ISCMI.2016.33

  2. de Berg M, Cheong O, van Kreveld M, Overmars M (2008) Computational geometry: algorithms and applications, 3rd edn. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77974-2

  3. Bjorling-Sachs I, Souvaine DL (1995) An efficient algorithm for guard placement in polygons with holes. Discret Comput Geom 13:77–109. https://doi.org/10.1007/BF02574029

    Article  MathSciNet  MATH  Google Scholar 

  4. Chvátal V (1975) A combinatorial theorem in plane geometry. J Comb Theory, Ser B 18(1):39–41. https://doi.org/10.1016/0095-8956(75)90061-1

    Article  MathSciNet  MATH  Google Scholar 

  5. Elnagar A, Lulu L (2005) An art gallery-based approach to autonomous robot motion planning in global environments. In: 2005 IEEE/RSJ international conference on intelligent robots and systems, pp 2079–2084. https://doi.org/10.1109/IROS.2005.1545170

  6. Hoffmann F, Kaufmann M, Kriegel K (1991) The art gallery theorem for polygons with holes. In: Proceedings 32nd annual symposium of foundations of computer science, pp 39–48. https://doi.org/10.1109/SFCS.1991.185346

  7. Katz MJ, Roisman GS (2008) On guarding the vertices of rectilinear domains. Computat Geometry 39(3):219–228. https://doi.org/10.1016/j.comgeo.2007.02.002

    Article  MathSciNet  MATH  Google Scholar 

  8. Lee D, Lin A (1986) Computational complexity of art gallery problems. IEEE Trans Inf Theory 32(2):276–282. https://doi.org/10.1109/TIT.1986.1057165

    Article  MathSciNet  MATH  Google Scholar 

  9. O’Rourke J (1998) Computational geometry in C. Cambridge University Press, Cambridge

    Google Scholar 

  10. O’Rourke J, Supowit K (1983) Some np-hard polygon decomposition problems. IEEE Trans Inf Theory 29(2):181–190. https://doi.org/10.1109/TIT.1983.1056648

    Article  MathSciNet  MATH  Google Scholar 

  11. Pan QK, Tasgetiren MF, Liang YC (2008) A discrete differential evolution algorithm for the permutation flowshop scheduling problem. Comput Ind Eng 55(4):795–816. https://doi.org/10.1016/j.cie.2008.03.003

    Article  Google Scholar 

  12. Sadhu S, Hazarika S, Jain KK, Basu S, De T (2012) Grp\_ch heuristic for generating random simple polygon. In: Combinatorial algorithms, pp 293–302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35926-2

  13. Schuchardt D, Hecker H (1995) Two np-hard art-gallery problems for ortho-polygons. Math Logic Quart 41(2):261–267. https://doi.org/10.1002/malq.19950410212

    Article  MathSciNet  MATH  Google Scholar 

  14. Scott WR, Roth G (2003) Jean-François: view planning for automated three-dimensional object reconstruction and inspection. ACM Comput Surv 35(1):64–96. https://doi.org/10.1145/641865.641868

    Article  Google Scholar 

  15. Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359. https://doi.org/10.1023/A:1008202821328

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adis Alihodzic .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Alihodzic, A., Hasanspahic, D., Tuba, E., Tuba, M. (2022). Application of Adjusted Differential Evolution in Optimal Sensor Placement for Interior Coverage. In: Yang, XS., Sherratt, S., Dey, N., Joshi, A. (eds) Proceedings of Sixth International Congress on Information and Communication Technology. Lecture Notes in Networks and Systems, vol 235. Springer, Singapore. https://doi.org/10.1007/978-981-16-2377-6_17

Download citation

Publish with us

Policies and ethics