Paper Info
Title
Scaling-Laws of Flow Entropy with Topological Metrics of Water Distribution Networks.
Abstract
Robustness of water distribution networks is related to their connectivity and topological structure, which also affect their reliability. Flow entropy, based on Shannon's informational entropy, has been proposed as a measure of network redundancy and adopted as a proxy of reliability in optimal network design procedures. In this paper, the scaling properties of flow entropy of water distribution networks with their size and other topological metrics are studied. To such aim, flow entropy, maximum flow entropy, link density and average path length have been evaluated for a set of 22 networks, both real and synthetic, with different size and topology. The obtained results led to identify suitable scaling laws of flow entropy and maximum flow entropy with water distribution network size, in the form of power-laws. The obtained relationships allow comparing the flow entropy of water distribution networks with different size, and provide an easy tool to define the maximum achievable entropy of a specific water distribution network. An example of application of the obtained relationships to the design of a water distribution network is provided, showing how, with a constrained multi-objective optimization procedure, a tradeoff between network cost and robustness is easily identified.
Year
DOI
Venue
2018
10.3390/e20020095
ENTROPY
Keywords
Field
DocType
scaling laws,power laws,water distribution networks,robustness,flow entropy
Average path length,Topology,Network planning and design,Flow (psychology),Robustness (computer science),Maximum flow problem,Scaling,Power law,Mathematics,Scaling law
Journal
Volume
Issue
ISSN
20
2
1099-4300
Citations 
PageRank 
References 
2
0.49
4
Authors
5
Name
Order
Citations
PageRank
Giovanni Francesco Santonastaso120.83
Armando Di Nardo222.86
Michele Di Natale322.52
Carlo Giudicianni420.83
Roberto Greco553.40