Maximum entropy flows for single-source networks

T.T. Tanyimboh, A.B. Templeman

Research output: Contribution to journalArticle

46 Citations (Scopus)
93 Downloads (Pure)


This paper was prompted by growing evidence that Shannon's measure of uncertainty can be used as a surrogate reliability measure for water distribution networks. This applies to both reliability assessment and reliability-governed design. Shannon's measure, however, is a non-linear function of the network flows. Therefore, the calculation of maximum entropy flows requires non-linear programming. Hence a simpler, more accessible method would be most useful. This paper presents an alternative and rigorous method for calculating maximum entropy flows for single-source networks. The proposed method does not involve linear or non-linear programming. Also, it is not iterative. Consequently the method is very efficient. In this paper, the methodology is described, several examples are presented and an algorithm is suggested.
Original languageEnglish
Pages (from-to)49-63
Number of pages15
JournalEngineering Optimization
Issue number1
Publication statusPublished - 1993


  • networks
  • water supply
  • entropy
  • reliability

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  • Research Output

    • 46 Citations
    • 12 Article
    • 6 Conference contribution book
    • 3 Chapter
    • 2 Proceeding

    Optimal design of water distribution systems based on entropy and topology

    Saleh, S. H. A. & Tanyimboh, T., Jun 2014, In : Water Resources Management.

    Research output: Contribution to journalArticle

    Open Access
  • 18 Citations (Scopus)
    107 Downloads (Pure)

    Water distribution network optimization using maximum entropy under multiple loading patterns

    Czajkowska, A. & Tanyimboh, T., 2013, In : Water Science and Technology: Water Supply. 13, 5, p. 1265-1271 8 p.

    Research output: Contribution to journalArticle

    Open Access
  • 7 Citations (Scopus)
    75 Downloads (Pure)

    Maximum entropy design of water distribution systems under multiple operating conditions

    Czajkowska, A. & Tanyimboh, T., Jul 2012. 8 p.

    Research output: Contribution to conferenceProceeding

    Open Access
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