An improved decomposition-based heuristic to design a water distribution network for an irrigation system

Abstract

In this paper the authors address a pressurized water distribution network design problem for irrigation purposes. Two mixed binary nonlinear programming models are proposed for this NP-hard problem. Furthermore, a heuristic algorithm is presented for the problem, which considers a decomposition sequential scheme, based on linearization of the second model, coupled with constructive and local search procedures designed to achieve improved feasible solutions. To evaluate the robustness of the method we tested it on several instances generated from a real application. The best solutions obtained are finally compared with solutions provided by standard software. These computational experiments enable the authors to conclude that the decomposition sequential heuristic is a good approach to this difficult real problem.

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Acknowledgements

This work is supported by Portuguese National Funding from FCT—Fundação para a Ciência e a Tecnologia, under the project: PEst-OE/MAT/UI0152.

The authors are grateful to the referees for the extensive suggestions that have considerably improved the paper.

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Correspondence to Graça Marques Gonçalves.

Appendix: Input data

Appendix: Input data

Table 8 Costs of the pipes commercially available (Cimianto, Sociedade Técnica de Hidráulica, S.A.)
Table 9 Bounds for the water speed on pipes (Labye et al. 1988)

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Gonçalves, G.M., Gouveia, L. & Pato, M.V. An improved decomposition-based heuristic to design a water distribution network for an irrigation system. Ann Oper Res 219, 141–167 (2014). https://doi.org/10.1007/s10479-011-1036-7

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Keywords

  • Pressurized water distribution network design problem
  • Mixed binary nonlinear programming problem
  • Linearization
  • Heuristics