Abstract

The process of shaping distribution network structures is one of the most fundamental design tasks, and determines the delivery certainty of media transported by them. It is especially crucial with reference to network elements of a critical character, such as roads or water supply, sewage, or electrical networks. In urban conditions, the geometric shaping of these structures has a quasi-chaotic character that is individual for each network and city. The complexity of these networks increases significantly with the size of a city, and therefore the evaluation of water delivery certainty is also a difficult issue. Despite many years of research, there is no universal method to evaluate this certainty. The objective of this paper is to present two original approaches: the number of minimal efficiency paths from a water source to reference consumption nodes, and the relation of this number to the fractal dimension of a network’s geometric structure. The developed methods were tested in the conditions of a few real water supply networks. The obtained results indicate that the analyzed methods can be used for the preliminary and relatively rapid evaluation of water delivery certainty.

Highlights

  • According to the United Nations report, 60% of the global population is projected to live in cities by 2030 [1]

  • As specified in delivery the studytoobjectives, thevia paper presents twonetwork: authors’the methods for assessing the reliability of water water consumers water supply reference service point point reliability of delivery to consumers via aa water supply network: the reference service reliability of water delivery to consumers viadimension a water supply network: the reference service point method, and and the method method based on the the fractal fractal of network network layouts

  • The conducted calculations indicated that there is a relationship between the number of paths and fractal dimension

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Summary

Introduction

According to the United Nations report, 60% of the global population is projected to live in cities by 2030 [1]. The reliability assessment of the supply covering all aspects has become a key issue in urban governance [3]. Utility network layout is specific for a given city. The large number of factors influencing the arrangement of infrastructure links gives a quasi-random character to the -formed geometric set. All these factors have prevented the development of a universal method for assessing the reliability of utility services supply via urban infrastructure networks. Undertakings in this respect have focused on two main aspects [4,5,6]: the assessment of the efficient operation of the existing networks, and the assessment of the reliability of utilities supply via networks at the network design stage

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