TY - JOUR
T1 - Developing a model for multi-objective optimization of open channels and labyrinth weirs
T2 - Theory and application in Isfahan Irrigation Networks
AU - Ferdowsi, Ahmad
AU - Valikhan-Anaraki, Mahdi
AU - Mousavi, Sayed Farhad
AU - Farzin, Saeed
AU - Mirjalili, Seyedali
N1 - Funding Information:
The authors would like to thank the Zayandab Consulting Engineers Company for providing the necessary information.
Publisher Copyright:
© 2021
PY - 2021/8
Y1 - 2021/8
N2 - Finding an optimal design for hydraulic structures and devices, which work together in irrigation networks, can be formulated as a multi-objective optimization problem. In this paper, a novel framework is proposed for simultaneous optimization of an open channel section and a labyrinth weir geometry. A recently proposed optimizer called Multi-Objective Multi-Verse Optimization (MOMVO) algorithm is employed and its results are compared with Pareto Envelope-based Selection Algorithm II (PESA-II) and Non-dominated Sorting Genetic Algorithm II (NSGA-II) using five metrics, including spacing (SP), Maximum Spread (MS), Non-uniformity of Pareto Front (NPF), Mean Ideal Distance (MID), and Coverage Measure (CM). The first objective function is defined to minimize the construction costs per unit length of the open channel, and the second one is to minimize total concrete volume of the labyrinth weir. The results showed significant differences between MOMVO Pareto optimal solutions and the other two algorithms. The least values of SP, NPF, and MID metrics were provided by MOMVO, which meant its solutions had better conditions regarding uniformity and the closeness to the ideal point. To optimize irrigation network as a system, penalty functions were applied to satisfy hydraulic conditions (flow velocity, Froude number, and nappe interference). Results showed that if the proposed model had been employed in Isfahan Irrigation Networks (IINs) design, it would have reduced the construction costs of open channel and labyrinth weir approximately 11% and 74%, respectively. It can be reported that the most cost-effective design has the least channel wetted perimeter, channel cross-section top width, cross-sectional area, and labyrinth apex length; and the highest channel depth, and weir sidewall angles.
AB - Finding an optimal design for hydraulic structures and devices, which work together in irrigation networks, can be formulated as a multi-objective optimization problem. In this paper, a novel framework is proposed for simultaneous optimization of an open channel section and a labyrinth weir geometry. A recently proposed optimizer called Multi-Objective Multi-Verse Optimization (MOMVO) algorithm is employed and its results are compared with Pareto Envelope-based Selection Algorithm II (PESA-II) and Non-dominated Sorting Genetic Algorithm II (NSGA-II) using five metrics, including spacing (SP), Maximum Spread (MS), Non-uniformity of Pareto Front (NPF), Mean Ideal Distance (MID), and Coverage Measure (CM). The first objective function is defined to minimize the construction costs per unit length of the open channel, and the second one is to minimize total concrete volume of the labyrinth weir. The results showed significant differences between MOMVO Pareto optimal solutions and the other two algorithms. The least values of SP, NPF, and MID metrics were provided by MOMVO, which meant its solutions had better conditions regarding uniformity and the closeness to the ideal point. To optimize irrigation network as a system, penalty functions were applied to satisfy hydraulic conditions (flow velocity, Froude number, and nappe interference). Results showed that if the proposed model had been employed in Isfahan Irrigation Networks (IINs) design, it would have reduced the construction costs of open channel and labyrinth weir approximately 11% and 74%, respectively. It can be reported that the most cost-effective design has the least channel wetted perimeter, channel cross-section top width, cross-sectional area, and labyrinth apex length; and the highest channel depth, and weir sidewall angles.
KW - Algorithm
KW - Artificial intelligence
KW - Genetic algorithm
KW - Labyrinth weirs
KW - Multi-objective optimization
KW - Multi-Verse optimizer
KW - NSGA-III
KW - Open channels
KW - Optimal hydraulic structures
KW - Optimization
UR - http://www.scopus.com/inward/record.url?scp=85107390285&partnerID=8YFLogxK
U2 - 10.1016/j.flowmeasinst.2021.101971
DO - 10.1016/j.flowmeasinst.2021.101971
M3 - Article
AN - SCOPUS:85107390285
VL - 80
JO - Flow Measurement and Instrumentation
JF - Flow Measurement and Instrumentation
SN - 0955-5986
M1 - 101971
ER -