Comparison of the robustness-based optimal designs of water distribution systems in three different formulations

Donghwi Jung, Doosun Kang, Gunhui Chung, Joong Hoon Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Robustness is generally defined as a system's ability to stay within satisfactory bounds against variations in systemfactors. Recently, robustness has been indicated to be a useful objective function for the optimal design of water distribution systems (WDSs). While various formulations are possible to represent WDS robustness, few efforts have been made to compare the performances of these formulations. This study examined three potential formulations for quantifying system robustness to provide guidelines on the usage of a robustness index. Giustolisi et al.'s robustness index (see Giustolisi et al. (2009) 'Deterministic versus stochastic design of water distribution networks', J. Water Resour. Plann. Manage. 135 (2), 117-127) was adopted to calculate nodal robustness, while the system robustness was defined using three different formulations: (1) minimum among nodal robustness values; (2) total sum of nodal robustness; and (3) sum of nodal robustness at multiple critical nodes. The three proposed formulations were compared through application to identify the most appropriate one for enhancing system robustness in general; three representative benchmark networks were optimally designed to minimize the economic cost while maximizing the system robustness.

Original languageEnglish
Pages (from-to)1425-1436
Number of pages12
JournalJournal of Hydroinformatics
Issue number4
Publication statusPublished - 2013


  • Multi-objective optimization
  • Robustness-based design
  • System robustness formulation

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology
  • Geotechnical Engineering and Engineering Geology
  • Atmospheric Science


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