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Cuckoo Search via Lévy Flight Applied to Optimal Water Supply System Design

  • Ricardo Soto
  • Broderick Crawford
  • Rodrigo Olivares
  • Carlos Castro
  • Pía Escárate
  • Steve Calderón
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10868)

Abstract

Designing optimal water supply systems is an important purpose of any urban system that involves relevant installation, operation and maintenance costs. However, achieving the optimal design is known to be a complex task, indeed the corresponding mathematical model for this problem leads to a non-linear and non-convex problem classified as NP-hard. In this paper, we propose using the cuckoo search algorithm which a modern bio-inspired metaheuristic based on the obligate brood parasitic behavior of cuckoo birds. This behavior is combined with the interesting Lévy flight, which mimic the exploration of some birds and flies, that move by combining straight flights and ninety degrees turns. The proposed approach results in a fast convergence algorithm able to noticeably reduce the number of objective function evaluations needed to solve this problem.

Keywords

Optimal water supply system design Cuckoo search algorithm Metaheuristics 

Notes

Acknowledgment

Ricardo Soto is supported by Grant CONICYT/FONDECYT/REGULAR/1160455. Broderick Crawford is supported by Grant CONICYT/FONDECYT/REGULAR/1171243. Rodrigo Olivares is supported by CONICYT/FONDEF/IDeA/ID16I10449, FONDECYT/STIC-AMSU/17STIC-03, FONDECYT/MEC/MEC80170097, and Postgraduate Grant Pontificia Universidad Católica de Valparaíso (INF - PUCV 2015–2018).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Pontificia Universidad Católica de ValparaísoValparaísoChile
  2. 2.Universidad de ValparaísoValparaísoChile
  3. 3.Universidad Técnica Federico Santa MaríaValparaísoChile

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