Water Resources Management

, Volume 33, Issue 10, pp 3433–3447 | Cite as

Multi-Objective Optimization Model for Design and Operation of Water Transmission Systems Using a Power Resilience Index for Assessing Hydraulic Reliability

  • Soheila Beygi
  • Massoud TabeshEmail author
  • Shuming Liu


Water Transmission Systems (WTSs) are used to transport large flow over long distances and/or high heads. An optimal design involves evaluation of both cost and reliability objectives. The objective of this paper is to develop a novel approach to reliability-based optimization of WTS with pump stations by linking the optimization model in Non-dominated Sorting Genetic Algorithm (NSGA-II) to a simulation in EPANET2.0. The two objectives considered include minimizing the total cost of the system and maximizing the reliability. A new resilience measure is also developed as a hydraulic reliability measure for pump stations in WTSs based on Best Efficiency Pump (BEP). The present model is applied to a WTS case study in Iran. The results are then presented for the trade-off characteristics between total cost and reliability. The results indicate that 7.6% increase in costs can result in a significant growth in reliability from 0.06 to 0.91. Accordingly, the Power Resilience Index (PRI) can be used as a measure of hydraulic reliability in water transmission systems with pump station.


Multi-objective optimization Water transmission system Hydraulic reliability Power resilience index 



This research was financially supported by the UNESCO/People’s Republic of China (The Great Wall) Co-Sponsored Fellowship Programme 2016-2017.

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of Civil Engineering, College of EngineeringUniversity of TehranTehranIran
  2. 2.Center of Excellence for Engineering and Management of Civil Infrastructures, School of Civil Engineering, College of EngineeringUniversity of TehranTehranIran
  3. 3.School of EnvironmentTsinghua UniversityBeijingChina

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