Skip to main content

Robust Design of Water Supply Systems through Evolutionary Optimization

  • Conference paper
Positive Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 389))

Abstract

Water Supply Systems (WSS) are clearly dynamical systems. Processes associated with WSS include design, planning, maintenance, control, management, rehabilitation, enlargement, etc. Modeling and simulation of these processes can be performed by using a number of variables and constraints that are non-negative in nature. Demands, diameters of pipes, flowrates, minimum pressure at demand nodes, volume of reservoirs, are only a few examples, taken from the purely technical context. In this paper we will focus on the design of WSS. This a mixed discrete-continuous constrained optimization problem that is addressed here by the use of an evolutionary technique based on swarm intelligence. Robustness is enforced by adding reliability to the system both to cope with abnormal conditions and by considering the likelihood of different state and load conditions. Application to a real-world problem is also provided.

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

    Article  Google Scholar 

  2. Arumugam, M.S., Rao, M.V.C.: On the improved performances of the particle swarm optimization algorithms with adaptive parameters, cross-over operators and root mean square (RMS) variants for computing optimal control of a class of hybrid systems. Appl. Soft Comput. 8(1), 324–336 (2008)

    Article  Google Scholar 

  3. Cunha, M.C., Sousa, J.: Water distribution network design optimization: simulated annealing approach. J. Wat. Res. Plann. Mgmt. 125(4), 215–221 (1999)

    Article  Google Scholar 

  4. Geem, Z.W.: Optimal cost design of water distribution networks using harmony search. Eng. Optm. 38(3), 259–280 (2006)

    Article  Google Scholar 

  5. Goulter, I.C.: Systems analysis in water-distribution network design: From theory to practice. J. Wat. Res. Plann. Mgmt. 118(3), 238–248 (1992)

    Article  Google Scholar 

  6. Goulter, I.C., Bouchart, F.: Reliability-Constrained Pipe Network Model. J. Hydraul. Eng. 116(2), 211–229 (1990)

    Article  Google Scholar 

  7. Goulter, I.C., Coals, A.V.: Quantitative approaches to reliability assessment in pipe networks. J. Transp. Eng. 112(3), 287–301 (1986)

    Article  Google Scholar 

  8. Izquierdo, J., Pérez, R., Iglesias, P.L.: Mathematical Models and Methods in the Water Industry. Math. Comput. Modelling (39), 1353–1374 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Izquierdo, J., Tung, M.M., Pérez, R., Martínez, F.J.: Estimation of fuzzy anomalies in Water Distribution Systems. In: Progress in Industrial Mathematics at ECMI 2006, vol. 12, pp. 801–805. Springer, Berlin (2008)

    Chapter  Google Scholar 

  10. Jin, Y.X., Cheng, H.Z., Yan, J.Y., Zhang, L.: New discrete method for particle swarm optimization and its application in transmission network expansion planning. Electri. Power Syst. Res. 77(3-4), 227–233 (2007)

    Article  Google Scholar 

  11. Lansey, K.E.: Optimal Design of Water Distribution Systems. In: Mays, L.W. (ed.) Water Distribution System Handbook. McGraw-Hill, New York (2000)

    Google Scholar 

  12. Liong, S.Y., Atiquzzama, M.: Optimal design of water distribution network using shuffled complex evolution. J. Inst. Eng. 44(1), 93–107 (2004)

    Google Scholar 

  13. Maier, H.R., Simpson, A.R., Zecchin, A.C., Foong, W.K., Phang, K.Y., Seah, H.Y., Tan, C.L.: Ant-colony optimization for design of water distribution systems. J. Wat. Res. Plann. Mgmt. 129(3), 200–209 (2003)

    Article  Google Scholar 

  14. Martínez, J.B.: Quantifying the economy of water supply looped networks. J. Hydraul. Eng. 133(1), 88–97 (2007)

    Article  Google Scholar 

  15. Matías, A.S.: Diseño de redes de distribución de agua contemplando la fiabilidad, mediante Algoritmos Genéticos. Departamento de Ingeniería Hidráulica y Medio Ambiente. Universidad Politécnica de Valencia. Doctoral dissertation (2003)

    Google Scholar 

  16. Montalvo, I., Izquierdo, J., Pérez, R., Iglesias, P.L.: A diversity-enriched variant of discrete PSO applied to the design of Water Distribution Networks. Engineering Optimization 40(7), 655–668 (2008)

    Article  Google Scholar 

  17. Montalvo, I., Izquierdo, J., Pérez, R., Tung, M.M.: Particle Swarm Optimization applied to the design of water supply systems. Comput. Math. Appl. 56(3), 769–776 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  18. Rossman, L.A.: EPANET, users manual, U.S. EPA, Cincinnati (2000)

    Google Scholar 

  19. Savic, D.A.: Coping with risk and uncertainty in urban water infrastructure rehabilitation planning. In: Acqua e città - i convegno nazionale di idraulica urbana, S’Agnello (NA), pp. 28–30 (2005)

    Google Scholar 

  20. Savic, D.A., Walters, G.A.: Genetic algorithms for least-cost design of water distribution networks. J. Wat. Res. Plann. Mgmt. 123(2), 67–77 (1997)

    Article  Google Scholar 

  21. Shi, Y., Eberhart, R.C.: A modified particle swarm optimizer. In: Proceedings of the IEEE Congress on Evolutionary Computation, Piscataway, NJ, pp. 69–73 (1998)

    Google Scholar 

  22. Walski, T.M.: State of the Art: Pipe Network Optimization, Computer Applications in Water Resources, ASCE (1985)

    Google Scholar 

  23. Wu, Z.Y., Simpson, A.R.: Competent genetic-evolutionary optimization of water distribution systems. J. Comput. Civ. Eng. 15(2), 89–101 (2001)

    Article  Google Scholar 

  24. Wu, Z.Y., Walski, T.: Self-Adaptive Penalty Approach Compared with Other Constraint-Handling Techniques for Pipeline Optimization. J. Wat. Res. Plann. Mgmt. 131(3), 181–192 (2005)

    Article  Google Scholar 

  25. Zecchin, A.C., Simpson, A.R., Maier, H.R., Leonard, M., Roberts, A.J., Berrisford, M.J.: Application of two ant-colony optimisation algorithms to water distribution system optimisation. Math. Comput. Modelling 44(5-6), 451–468 (2006)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Izquierdo, J., Montalvo, I., Pérez-García, R., Herrera, M. (2009). Robust Design of Water Supply Systems through Evolutionary Optimization. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-02894-6_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02893-9

  • Online ISBN: 978-3-642-02894-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics