Sensitivity of algorithm parameters and objective function scaling in multi-objective optimisation of water distribution systems
This paper presents an extensive analysis of the sensitivity of multi-objective algorithm parameters and objective function scaling tested on a large number of parameter setting combinations for a water distribution system optimisation problem. The optimisation model comprises two operational object...
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| Vydáno v: | Journal of hydroinformatics Ročník 17; číslo 6; s. 891 - 916 |
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| Jazyk: | angličtina |
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01.11.2015
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| ISSN: | 1464-7141, 1465-1734 |
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| Abstract | This paper presents an extensive analysis of the sensitivity of multi-objective algorithm parameters and objective function scaling tested on a large number of parameter setting combinations for a water distribution system optimisation problem. The optimisation model comprises two operational objectives minimised concurrently, the pump energy costs and deviations of constituent concentrations as a water quality measure. This optimisation model is applied to a regional non-drinking water distribution system, and solved using the optimisation software GANetXL incorporating the NSGA-II linked with the network analysis software EPANet. The sensitivity analysis employs a set of performance metrics, which were designed to capture the overall quality of the computed Pareto fronts. The performance and sensitivity of NSGA-II parameters using those metrics is evaluated. The results demonstrate that NSGA-II is sensitive to different parameter settings, and unlike in the single-objective problems, a range of parameter setting combinations appears to be required to reach a Pareto front of optimal solutions. Additionally, inadequately scaled objective functions cause the NSGA-II bias towards the second objective. Lastly, the methodology for performance and sensitivity analysis may be used for calibration of algorithm parameters. |
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| AbstractList | This paper presents an extensive analysis of the sensitivity of multi-objective algorithm parameters and objective function scaling tested on a large number of parameter setting combinations for a water distribution system optimisation problem. The optimisation model comprises two operational objectives minimised concurrently, the pump energy costs and deviations of constituent concentrations as a water quality measure. This optimisation model is applied to a regional non-drinking water distribution system, and solved using the optimisation software GANetXL incorporating the NSGA-II linked with the network analysis software EPANet. The sensitivity analysis employs a set of performance metrics, which were designed to capture the overall quality of the computed Pareto fronts. The performance and sensitivity of NSGA-II parameters using those metrics is evaluated. The results demonstrate that NSGA-II is sensitive to different parameter settings, and unlike in the single-objective problems, a range of parameter setting combinations appears to be required to reach a Pareto front of optimal solutions. Additionally, inadequately scaled objective functions cause the NSGA-II bias towards the second objective. Lastly, the methodology for performance and sensitivity analysis may be used for calibration of algorithm parameters. |
| Author | Mala-Jetmarova, Helena Barton, Andrew Bagirov, Adil |
| Author_xml | – sequence: 1 givenname: Helena surname: Mala-Jetmarova fullname: Mala-Jetmarova, Helena organization: Faculty of Science and Technology, Federation University Australia, Mt Helen Campus, University Drive, Ballarat, Victoria 3350, Australia – sequence: 2 givenname: Andrew surname: Barton fullname: Barton, Andrew organization: Grampians Wimmera Mallee Water (GWMWater), 11 McLachlan Street, Horsham, Victoria 3400, Australia – sequence: 3 givenname: Adil surname: Bagirov fullname: Bagirov, Adil organization: Faculty of Science and Technology, Federation University Australia, Mt Helen Campus, University Drive, Ballarat, Victoria 3350, Australia |
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| SubjectTerms | Algorithms Analysis Computer programs Costs Distribution Drinking water Emission standards Emissions Energy costs Energy measurement Fronts Genetic algorithms Greenhouse gases Hydraulics Mathematical models Multiple objective analysis Mutation Network analysis Objective function Objectives Optimization Parameter sensitivity Parameters Pareto optimum Performance measurement Rehabilitation Scaling Sensitivity analysis Simulation Software Solutions Water distribution Water distribution systems Water engineering Water quality Water quality measurements Water shortages Water supply |
| Title | Sensitivity of algorithm parameters and objective function scaling in multi-objective optimisation of water distribution systems |
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