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Water Supply Network Optimisation Using Equal Flow Algorithms

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  • Antonio Manca
  • Giovanni Sechi
  • Paola Zuddas

Abstract

Algorithms to optimise water supply networks are developed and compared when a given set of transfer arcs is constrained to carry the same (or proportional) amounts of flow. Initially, a dynamic multi-period mathematical model is designed as a network flow model. A network simplex-based algorithm, Equalflow, and a subgradient-based algorithm, SUBeqf, are then presented. Both algorithms are characterised by polynomial complexity and can solve large-scale instances that arise when considering water system requirements. A specialised interface for water supply networks provides a data input processor to generate the overall multi-period network model in the implementation of the procedures. The implementation of the algorithms allows the consideration of different types of equal flow instances that take place in water resource system optimisation. The performances of the two algorithms and analysis of their computational efficiency with respect to state-of-the-art mathematical programming software are reported, considering equal-flow instances from a synthetically generated network and two water supply systems in the Sardinia region of Italy. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • Antonio Manca & Giovanni Sechi & Paola Zuddas, 2010. "Water Supply Network Optimisation Using Equal Flow Algorithms," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(13), pages 3665-3678, October.
    • Handle: RePEc:spr:waterr:v:24:y:2010:i:13:p:3665-3678
    DOI: 10.1007/s11269-010-9625-9
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    References listed on IDEAS

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    1. Giovanni Sechi & Paola Zuddas, 2008. "Multiperiod Hypergraph Models for Water Systems Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(3), pages 307-320, March.
    2. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    3. Ali, Agha Iqbal & Kennington, Jeff & Shetty, Bala, 1988. "The equal flow problem," European Journal of Operational Research, Elsevier, vol. 36(1), pages 107-115, July.
    4. Ravindra K. Ahuja & James B. Orlin & Giovanni M. Sechi & Paola Zuddas, 1999. "Algorithms for the Simple Equal Flow Problem," Management Science, INFORMS, vol. 45(10), pages 1440-1455, October.
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    Cited by:

    1. D. Haro & J. Paredes & A. Solera & J. Andreu, 2012. "A Model for Solving the Optimal Water Allocation Problem in River Basins with Network Flow Programming When Introducing Non-Linearities," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4059-4071, November.
    2. Christina Büsing & Arie M. C. A. Koster & Sabrina Schmitz, 2022. "Robust minimum cost flow problem under consistent flow constraints," Annals of Operations Research, Springer, vol. 312(2), pages 691-722, May.

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