Skip to main content

Advertisement

Log in

Application of Several Meta-Heuristic Techniques to the Optimization of Real Looped Water Distribution Networks

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

The optimization of looped water distribution systems is a complex problem as the pipe flows are unknown variables. Although many researchers have reported algorithms for minimizing the network cost applying a large variety of techniques, such as linear programming, non-linear programming, global optimization methods and meta-heuristic approaches, a totally satisfactory and efficient method is not available as yet. Many works have assessed the performance of these techniques using small or medium-sized benchmark networks proposed in the literature, but few of them have tested these methods with large-scale real networks. The aim of this paper is to evaluate the performance of several meta-heuristic techniques: genetic algorithms, simulated annealing, tabu search, and iterated local search. These techniques were first validated and compared by applying them to a medium-sized benchmark network previously reported in the literature. They were then applied to a large irrigation water distribution network that has been proposed in a previous work to assess their performance in a practical application. All the methods tested performed adequately well, compared with the results found in previous works. Genetic algorithm was more efficient when dealing with a medium-sized network, but other methods outperformed it when dealing with a real complex one.

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

  • Abebe AJ, Solomatine DP (1998) Application of global optimization to the design of pipe networks. In: Proceedings of 3rd international conference of hydroinformatics, pp 989–996

  • Alperovits E, Shamir U (1977) Design of optimal water distribution systems. Water Resour Res 13(6):885–900

    Article  Google Scholar 

  • Cunha MD, Sousa J (1999) Water distribution network design optimization: simulated annealing approach. Water Resour Planning Manag, ASCE 125(4):215–221

    Article  Google Scholar 

  • Eiger G, Shamir U, Ben-Tal A (1994) Optimal design of water distribution networks. Water Resour Res 30(9):2637–2646

    Article  Google Scholar 

  • Eusuff MM, Lansey KE (2003) Optimization of water distribution network design using the shuffled frog leaping algorithm. Water Resour Planning Manag, ASCE 129(3):210–225

    Article  Google Scholar 

  • Fujiwara O, Khang DB (1990) A two-phase decomposition method for optimal design of looped water distribution networks. Water Resour Res 26(4):539–549

    Article  Google Scholar 

  • Garey MR, Johnson DS (1979) Computers and intractability: a guide to the theory of NP-completeness. Freeman, San Francisco

    Google Scholar 

  • Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68

    Article  Google Scholar 

  • Gil C, Ortega J, Montoya MG, Baños R (2002) A mixed heuristic for circuit partitioning. Comput Optim Appl 23(3):321–340

    Article  Google Scholar 

  • Glover F, Laguna M, Dowsland KA (1993) Modern heuristic techniques for combinatorial problems. In: Reeves CR (ed). Blackwell, London

  • Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison Wesley, New York

    Google Scholar 

  • Gupta I, Bassin JK, Gupta A, Khanna P (1993) Optimization of water distribution system. Environ Softw 8:101–113

    Article  Google Scholar 

  • Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671

    Article  Google Scholar 

  • Lansey KE, Mays LW (1989) Optimal design of water distribution systems. Water Resour Planning Manag, ASCE 115(10):1401–1418

    Google Scholar 

  • Maier HR, Simpson AR, Zecchin AC, Foong WK, Phang KY, Seah HY, Tan CL (2003) Ant colony optimization for design of water distribution systems. Water Resour Planning Manag, ASCE 129(3):200–209

    Article  Google Scholar 

  • Metropolis N, Rosenbluth A, Rosenbluth M, Teller A, Teller E (1953) Equation of state calculations by fast computing machines. Chem Phys 21(6):1087–1092

    Article  Google Scholar 

  • Montesinos P, Garcia-Guzman A, Ayuso JL (1999) Water distribution network optimization using modified genetic algorithm. Water Resour Res 35(11):3467–3473

    Article  Google Scholar 

  • Quindry GE, Brill ED, Liebman JC (1981) Optimization of looped water distribution systems. J Environ Eng, ASCE 107(4):665–679

    Google Scholar 

  • Ramalhino H, Martin O, Stutzle T (2002) Iterated local search. In: Glover F, Kochenberger G (eds) Handbook of metaheuristics. Kluwer, Norwell, MA, pp 321–353

    Google Scholar 

  • Reca J, Martínez J (2006) Genetic algorithms for the design of looped irrigation water distribution networks. Water Resour Res 42(5):W05416, doi:10.1029/2005WR004383

    Article  Google Scholar 

  • Rossman LA (2000) EPANET 2 user’s manual. EPA/600/R-00/057, 2000

  • Savic DA, Walters GA (1997) Genetic algorithms for least-cost design of water distribution networks. Water Resour Planning Manag, ASCE 123(2):67–77

    Article  Google Scholar 

  • Sherali HD, Totlani R, Loganathan GV (1998) Enhanced lower bounds for the global optimization of water distribution networks. Water Resour Res 34(7):1831–1841

    Article  Google Scholar 

  • Talbi E (2002) A taxonomy of hybrid metaheuristics. J Heuristics 8(5):541–564

    Article  Google Scholar 

  • Todini E, Pilati S (1987) A gradient method for the analysis of pipe networks. In: Proceedings of international conference on computer applications for water supply and distribution. Leicester Polytechnic, UK

    Google Scholar 

  • Vairavamoorthy K, Ali M (2000) Optimal design of water distribution systems using genetic algorithms. Comput-Aided Civil Infrastruct Eng 15(5):374–382

    Article  Google Scholar 

  • Varma K, Narasimhan S, Bhallamudi SM (1997) Optimal design of water distribution systems using NLP method. J Environ Eng, ASCE 123(4):381–388

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Reca.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reca, J., Martínez, J., Gil, C. et al. Application of Several Meta-Heuristic Techniques to the Optimization of Real Looped Water Distribution Networks. Water Resour Manage 22, 1367–1379 (2008). https://doi.org/10.1007/s11269-007-9230-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-007-9230-8

Keywords

Navigation