Skip to main content

Advertisement

Log in

Study neighborhood field optimization algorithm on nonlinear sorptive barrier design problems

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

Using a simulation-based approach, sorptive barrier design can be expressed as a nonlinear and mixed-integer optimization problem, and metaheuristic searching algorithms are suitable optimization methods to find optimal configurations of design. A recently proposed neighborhood field optimization (NFO) algorithm is applied to deal with the sorptive barrier design problem. NFO is originally proposed for continuous optimization problems, then, it is extended to binary NFO for discontinuous optimization problems. In this paper, integer NFO (INFO) is proposed by using forward and backward transformations. For the sorptive barrier design, NFO variants are compared with genetic algorithms and the best performer reported previously. Based on statistical analysis, NFO variants show better performance than GA variants in terms of accuracy and convergence speed, and INFO improves the best known results on all test instances. It can be concluded that the proposed INFO is suitable for the sorptive barrier design with significant performance improvement.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Nicklow J, Reed P, Savic D, Dessalegne T, Harrell L, Chan-Hilton A, Karamouz M, Minsker B, Ostfeld A, Singh A, Zechman E (2010) State of the art for genetic algorithms and beyond in water resources planning and management. J Water Resour Plan Manag 136(4):412–432

    Article  Google Scholar 

  2. Mattot LS, Bartelt-Hunt SL, Rabideau AJ, Fowler KR (2006) Application of heuristic optimization techniques and algorithm tuning to multilayered sorptive barrier design. Environ Sci Technol 40(20):6354–6360

    Article  Google Scholar 

  3. Karpouzos D, Katsifarakis K (2013) A set of new benchmark optimization problems for water resources management. Water Resour Manag 27(9):3333–3348

    Article  Google Scholar 

  4. Maier H, Kapelan Z, Kasprzyk J, Kollat J, Matott L, Cunha M, Dandy G, Gibbs M, Keedwell E, Marchi A, Ostfeld A, Savic D, Solomatine D, Vrugt J, Zecchin A, Minsker B, Barbour E, Kuczera G, Pasha F, Castelletti A, Giuliani M, Reed P (2014) Evolutionary algorithms and other metaheuristics in water resources: current status, research challenges and future directions. Environ Modell Softw 62:271–299

    Article  Google Scholar 

  5. Ketabchi H, Ataie-Ashtiani B (2015) Evolutionary algorithms for the optimal management of coastal groundwater: a comparative study toward future challenges. J Hydrol 520:193–213

    Article  Google Scholar 

  6. Rasekh A, Brumbelow K (2015) A dynamic simulation–optimization model for adaptive management of urban water distribution system contamination threats. Appl Soft Comput 32:59–71

    Article  Google Scholar 

  7. Matott LS, Tolson BA, Asadzadeh M (2012) A benchmarking framework for simulation-based optimization of environmental models. Environ Modell Softw 35:19–30

    Article  Google Scholar 

  8. Nemhauser GL, Laurence WA (1988) Integer and combinatorial optimization. Wiley, New York

    Book  MATH  Google Scholar 

  9. McClymont K, Keedwell E, Savic D (2015) An analysis of the interface between evolutionary algorithm operators and problem features for water resources problems. A case study in water distribution network design. Environ Modell Softw 69:414–424

    Article  Google Scholar 

  10. Chen Q, Zhong Y, Zhang X (2010) A pseudo genetic algorithm. Neural Comput Appl 19(1):77–83

    Article  Google Scholar 

  11. Eberhart RC, Shi Y (2001) Particle swarm optimization: developments, applications and resources. In: Proceedings IEEE congress on evolutionary computation, vol 1, Seoul, South Korea, pp 81–86

  12. Wu Z, Chow T (2013) Neighborhood field for cooperative optimization. Soft Comput 17(5):819–834

    Article  Google Scholar 

  13. Wu Z, Chow TW (2013) Binary neighbourhood field optimisation for unit commitment problems. IET Gener Transm Distrib 7(3):298–308

    Article  Google Scholar 

  14. Gullick RW, Weber WJ (2001) Evaluation of shale and organoclays as sorbent additives for low-permeability soil containment barriers. Environ Sci Technol 35(7):1523–1530

    Article  Google Scholar 

  15. Matott LS, Bandilla K, Rabideau AJ (2009) Incorporating nonlinear isotherms into robust multilayer sorptive barrier design. Adv Water Resour 32(11):1641–1651

    Article  Google Scholar 

  16. Matott LS (2008) Nighthawk documentation and users guide, version 1.2. University of Buffalo, Department of Civil, Structure and Environmental Engineering, Buffalo, NY. http://www.groundwater.buffalo.edu

  17. Kennedy J, Mendes R (2002) Population structure and particle swarm performance. In: Proceedings IEEE congress on evolutionary computation, Oregon, USA, pp 1671–1676

  18. Wu Z, Chow T (2012) A local multiobjective optimization algorithm using neighborhood field. Struct Multidiscipl Optim 46(6):853–870

    Article  MathSciNet  MATH  Google Scholar 

  19. Chu PC, Beasley JE (1998) A genetic algorithm for the multidimensional knapsack problem. J Heuristics 4(1):63–86

    Article  MATH  Google Scholar 

  20. Held M, Karp RM (1970) The traveling-salesman problem and minimum spanning trees. Oper Res 18(6):1138–1162

    Article  MathSciNet  MATH  Google Scholar 

  21. Muller J, Shoemaker CA, Piche R (2014) SO-I: a surrogate model algorithm for expensive nonlinear integer programming problems including global optimization applications. J Glob Optim 59(4):865–889

    Article  MathSciNet  MATH  Google Scholar 

  22. Onwubolu G, Davendra D (2006) Scheduling flow shops using differential evolution algorithm. Eur J Oper Res 171(2):674–692

    Article  MATH  Google Scholar 

  23. García S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms behaviour: a case study on the cec2005 special session on real parameter optimization. J Heuristics 15(6):617–644

    Article  MATH  Google Scholar 

  24. Eiben EA, Smith JE (2003) Introduction to evolutionary computing. Springer, Berlin, HeidelBerg

    Book  MATH  Google Scholar 

  25. Darwen PJ, Pollack JB (1999) Coevolutionary learning on noisy tasks. In: Proceedings IEEE congress on evolutionary computation, Washington, DC, pp 1724–1731

  26. Leung SW, Yuen SY, Chow CK (2012) Parameter control system of evolutionary algorithm that is aided by the entire search history. Appli Soft Comput 12(9):3063–3078

    Article  Google Scholar 

  27. Jie S, Peng T, Yuan X, Xiangjun J, Malekian R (2014) An improved synchronous control strategy based on fuzzy controller for PMSM. Elektron Elektrotech 20(6):17–23

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhou Wu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, X., Wu, Z. Study neighborhood field optimization algorithm on nonlinear sorptive barrier design problems. Neural Comput & Applic 28, 783–795 (2017). https://doi.org/10.1007/s00521-015-2106-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-015-2106-6

Keywords

Navigation