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Multiobjective Pump Scheduling Optimization Using Harmony Search Algorithm (HSA) and Polyphonic HSA

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  • Ioannis Kougias
  • Nicolaos Theodossiou

Abstract

Harmony Search Algorithm (HSA) is a metaheuristic method that has attracted the scientific interest since its first presentation in 2001. It is a music inspired method, imitating the music creation process in order to find optimal solutions in complicated problems. HSA’s successful application on single – objective optimization problems has resulted to an increasing interest in the implementation of HSA towards multiobjective optimization. The authors have adjusted HSA in order to deal successfully with multi-criteria water management problems. This adjustment has resulted to the creation of Multiobjective – HSA (MO-HSA). In addition, they have designed the multiobjective variant Polyphonic-HSA (Poly-HSA), which is inspired by the independent development of different voices in music and borrows elements from Swarm Intelligence and the single-objective variant Global-Best HSA. In the first part of this paper, both methods are presented in detail. Moreover, the performance of the proposed Algorithms is evaluated using standard multiobjective test – functions. ZDT and DTLZ multiobjective tests have been chosen and indicators such as Hypervolume, C – metric and diversity metric – Δ have been used to measure the convergence to the optimal front and the diversity of the solutions obtained by the proposed methods. In the second part, MO-HSA and Poly-HSA have been introduced towards the optimization of a pump scheduling problem. The objectives considered are water supply, pumping cost, electric power peak demand and pump maintenance cost. Both methods converged to non-dominated fronts and provided excellent results which are presented in 3d figures, indicating that these methods can be effectively used in multiobjective water management problems. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Ioannis Kougias & Nicolaos Theodossiou, 2013. "Multiobjective Pump Scheduling Optimization Using Harmony Search Algorithm (HSA) and Polyphonic HSA," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1249-1261, March.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:5:p:1249-1261
    DOI: 10.1007/s11269-012-0236-5
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    Citations

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    Cited by:

    1. Isabel Kaufmann Almeida & Aleska Kaufmann Almeida & Jorge Luiz Steffen & Teodorico Alves Sobrinho, 2016. "Model for Estimating the Time of Concentration in Watersheds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4083-4096, September.
    2. Alemtsehay G. Seyoum & Tiku T. Tanyimboh, 2016. "Investigation into the Pressure-Driven Extension of the EPANET Hydraulic Simulation Model for Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5351-5367, November.
    3. Tao Bai & Lianzhou Wu & Jian-xia Chang & Qiang Huang, 2015. "Multi-Objective Optimal Operation Model of Cascade Reservoirs and Its Application on Water and Sediment Regulation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2751-2770, June.
    4. Seon Woo Kim & Soon Ho Kwon & Donghwi Jung, 2022. "Development of a Multiobjective Automatic Parameter-Calibration Framework for Urban Drainage Systems," Sustainability, MDPI, vol. 14(14), pages 1-16, July.
    5. Calvin Siew & Tiku T. Tanyimboh & Alemtsehay G. Seyoum, 2016. "Penalty-Free Multi-Objective Evolutionary Approach to Optimization of Anytown Water Distribution Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3671-3688, September.
    6. Oreste Fecarotta & Armando Carravetta & Maria Cristina Morani & Roberta Padulano, 2018. "Optimal Pump Scheduling for Urban Drainage under Variable Flow Conditions," Resources, MDPI, vol. 7(4), pages 1-20, November.
    7. Ruben Menke & Edo Abraham & Panos Parpas & Ivan Stoianov, 2016. "Exploring Optimal Pump Scheduling in Water Distribution Networks with Branch and Bound Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5333-5349, November.
    8. Salah Saleh & Tiku Tanyimboh, 2014. "Optimal Design of Water Distribution Systems Based on Entropy and Topology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3555-3575, September.
    9. Chih-Chiang Wei & Nien-Sheng Hsu & Chien-Lin Huang, 2014. "Two-Stage Pumping Control Model for Flood Mitigation in Inundated Urban Drainage Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 425-444, January.
    10. Fernando Luiz Tres Junior & Víctor Yepes & Guilherme Fleith de Medeiros & Moacir Kripka, 2023. "Multi-Objective Optimization Applied to the Design of Sustainable Pedestrian Bridges," IJERPH, MDPI, vol. 20(4), pages 1-15, February.
    11. Sándor Szabó & Ioannis Kougias & Magda Moner-Girona & Katalin Bódis, 2015. "Sustainable Energy Portfolios for Small Island States," Sustainability, MDPI, vol. 7(9), pages 1-19, September.

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