Water distribution system design under uncertainties

Kevin E. Lansey, Ning Duan, Larry W. Mays, Yeou Koung Tung

Research output: Contribution to journalArticlepeer-review

118 Scopus citations


A chance constrained model is presented for the minimum cost design of water distribution networks. This methodology attempts to account for the uncertainties in required demands, required pressure heads, and pipe roughness coefficients. The optimization problem is formulated as a nonlinear programming model which is solved using a generalized reduced gradient method. Details of the mathematical model formulation are presented along with example applications. Results illustrate that uncertainties in future demands, pressure head requirements, and pipe roughness can have significant effects on the optimal network design and cost.

Original languageEnglish (US)
Pages (from-to)630-645
Number of pages16
JournalJournal of Water Resources Planning and Management
Issue number5
StatePublished - Sep 1989

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Geography, Planning and Development
  • Water Science and Technology
  • Management, Monitoring, Policy and Law


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