Mathematical programming methods for pressure management in water distribution systems

Filippo Pecci, Edo Abraham, Ivan Stoianov

Research output: Contribution to journalConference articleScientificpeer-review

9 Citations (Scopus)


In this paper, we survey mathematical programming methods for the management of pressure in water distribution systems through optimal placement and operation of control valves. The optimization framework addresses the minimization of average zone pressure under multiple demand scenarios, enforcing hydraulic equations as nonlinear constraints. Binary variables are used to model the placement of valves. The derived nonlinear optimization problem is a non-convex MINLP. We implement and evaluate a direct MINLP solver and two different reformulation methods for MINLPs that solve sequences of regular NLPs. Moreover, we investigate the solutions under different design and operation loading conditions.

Original languageEnglish
Pages (from-to)937-946
Number of pages10
JournalProcedia Engineering
Issue number1
Publication statusPublished - 2015
Externally publishedYes


  • Mathematical optimization
  • Mixed integer nonlinear programming
  • Pressure management
  • Valve placement
  • Water distribution systems


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