@article{6918453ce0ab48a49d4733fb868e7f96,
title = "Maximum entropy flows for single-source networks",
abstract = "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.",
keywords = "networks, water supply, entropy, reliability",
author = "T.T. Tanyimboh and A.B. Templeman",
year = "1993",
doi = "10.1080/03052159308941325",
language = "English",
volume = "22",
pages = "49--63",
journal = "Engineering Optimization",
issn = "0305-215X",
number = "1",
}