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Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks
- Source :
- Water Resources Management. 31:3189-3204
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- Evolutionary algorithms are used widely in optimization studies on water distribution networks. The optimization algorithms use simulation models that analyse the networks under various operating conditions. The solution process typically involves cost minimization along with reliability constraints that ensure reasonably satisfactory performance under abnormal operating conditions also. Flow entropy has been employed previously as a surrogate reliability measure. While a body of work exists for a single operating condition under steady state conditions, the effectiveness of flow entropy for systems with multiple operating conditions has received very little attention. This paper describes a multi-objective genetic algorithm that maximizes the flow entropy under multiple operating conditions for any given network. The new methodology proposed is consistent with the maximum entropy formalism that requires active consideration of all the relevant information. Furthermore, an alternative but equivalent flow entropy model that emphasizes the relative uniformity of the nodal demands is described. The flow entropy of water distribution networks under multiple operating conditions is discussed with reference to the joint entropy of multiple probability spaces, which provides the theoretical foundation for the optimization methodology proposed. Besides the rationale, results are included that show that the most robust or failure-tolerant solutions are achieved by maximizing the sum of the entropies.
- Subjects :
- Mathematical optimization
Hydrogeology
Distribution networks
0208 environmental biotechnology
Simulation modeling
Evolutionary algorithm
02 engineering and technology
Joint entropy
020801 environmental engineering
TA
Entropy (information theory)
Entropy maximization
Minification
Water Science and Technology
Civil and Structural Engineering
Mathematics
Subjects
Details
- ISSN :
- 15731650 and 09204741
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- Water Resources Management
- Accession number :
- edsair.doi.dedup.....ea78bdf6a78e92e4340c11192b3fccb6