Multi-directional maximum-entropy approach to the evolutionary design optimization of water distribution systems

Salah H. A. Saleh, Tiku T. Tanyimboh

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14 Citations (Scopus)
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A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.
Original languageEnglish
Pages (from-to)1885–1901
Number of pages17
JournalWater Resources Management
Issue number6
Early online date20 Feb 2016
Publication statusPublished - 30 Apr 2016


  • maximum flow entropy
  • hydraulic reliability and Redundancy
  • water distribution system
  • demand driven analysis
  • pressure driven analysis
  • penalty-free constrained evolutionary optimization

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