Rehabilitation and replacement of water distribution system components considering uncertainties

J. H. Kim, L. W. Mays

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper presents the mathematical development of an integer - nonlinear programming chance - constrained optimization model for the minimum cost rehabilitation/replacement of water distribution system components. Particular attention is given to the handling of uncertainties in the roughness factors and the loading conditions including both the random demand and preassure head requirements. The advantages of the proposed model include the ability to: 1) handle the optimal timing of rehabilitation/replacement for water distribution system components; 2) link a mixed-integer linear program solver, a nonlinear program solver, and a hydraulic simulator into an optimization framework; 3) handle the uncertainties of some of the variables; 4) incorporate various kinds of cost functions; and 5) handle multiple loading conditions.

Original languageEnglish
Pages (from-to)277-294
Number of pages18
JournalStochastic Hydrology and Hydraulics
Issue number4
Publication statusPublished - 1990 Dec
Externally publishedYes


  • Water distribution
  • chance constraints
  • integer programming
  • nonlinear programming
  • optimization
  • rehabilation

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry
  • Modelling and Simulation
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality
  • Ocean Engineering
  • General Environmental Science
  • Mechanical Engineering


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