Multi-directional maximum-entropy approach to the evolutionary design optimization of water distribution systems

Salah H. A. Saleh; Tiku T. Tanyimboh

doi:10.1007/s11269-016-1253-6

Multi-directional maximum-entropy approach to the evolutionary design optimization of water distribution systems

Salah H. A. Saleh, Tiku T. Tanyimboh

Civil And Environmental Engineering

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15 Citations (Scopus)

45 Downloads (Pure)

Abstract

A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.

Original language	English
Pages (from-to)	1885–1901
Number of pages	17
Journal	Water Resources Management
Volume	30
Issue number	6
Early online date	20 Feb 2016
DOIs	https://doi.org/10.1007/s11269-016-1253-6
Publication status	Published - 30 Apr 2016

Keywords

maximum flow entropy
hydraulic reliability and Redundancy
water distribution system
demand driven analysis
pressure driven analysis
penalty-free constrained evolutionary optimization

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10.1007/s11269-016-1253-6

Saleh-Tanyimboh-WARM-2016-Multi-directional-maximum-entropy-approach-to-the-evolutionaryFinal published version, 852 KBLicence: CC BY 4.0

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title = "Multi-directional maximum-entropy approach to the evolutionary design optimization of water distribution systems",

abstract = "A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.",

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AU - Saleh, Salah H. A.

AU - Tanyimboh, Tiku T.

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N2 - A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.

AB - A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.

KW - maximum flow entropy

KW - hydraulic reliability and Redundancy

KW - water distribution system

KW - demand driven analysis

KW - pressure driven analysis

KW - penalty-free constrained evolutionary optimization

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DO - 10.1007/s11269-016-1253-6

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SP - 1885

EP - 1901

JO - Water Resources Management

JF - Water Resources Management

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Multi-directional maximum-entropy approach to the evolutionary design optimization of water distribution systems

Abstract

Keywords

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Comparison of surrogate measures for the reliability and redundancy of water distribution systems

Optimal design of water distribution systems based on entropy and topology

Multiobjective memetic algorithm applied to the optimisation of water distribution systems

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