Pareto Genetic Algorithms for Multi-Objective Design of Water Distribution Systems

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The paper describes the development of a technique for the optimal design of water supply and distribution systems, based on a coupling between evolutionary algorithms and a pressurized hydraulic network solver. The purpose is to show the capabilities of Pareto genetic algorithms (PGAs) in solving multi-objective, constrained optimization problems: in such cases, the optimum is represented not only by one solution, as in single-objective optimization, but by a set of optimal configurations (the Pareto front or frontier), satisfying different levels of compromise among the competing objectives. A Pareto GA should determine the family of such non-dominated solutions, each of which is optimal in the sense that no improvement can be achieved in one criterion without the degradation in at least one of the remaining criteria. This might be of great help to the decision maker in selecting the best trade-off configuration, which will eventually depend on the actual context. An application to a real case is also presented.

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664-670

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October 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. Alperovits and U. Shamir. Design of optimal water distribution systems. Water Resources Research 13(6), pp.885-900 (1977).

DOI: 10.1029/wr013i006p00885

Google Scholar

[2] A. El-Bahrawy and A.A. Smith. Application of MINOS to water collection and distribution networks. Civil Engineering Systems 2(1), pp.38-49 (1985).

DOI: 10.1080/02630258508970379

Google Scholar

[3] N. Duan, L.W. Mays and K.E. Mansey. Optimal reliability-based design of pumping and distribution systems. J. Hydraulic Engineering 116(2), pp.249-268 (1990).

DOI: 10.1061/(asce)0733-9429(1990)116:2(249)

Google Scholar

[4] A.R. Simpson, G.C. Dandy and L.J. Murphy. Genetic algorithm compared to other techniques for pipe optimization. J. Water Resour. Plann. Manage. 120(4), pp.423-443 (1994).

DOI: 10.1061/(asce)0733-9496(1994)120:4(423)

Google Scholar

[5] D.A. Savic and G.A. Walters. Genetic algorithms for least-cost design of water distribution networks. Journal of Water Resources Planning and Management 123(2), pp.67-77 (1997).

DOI: 10.1061/(asce)0733-9496(1997)123:2(67)

Google Scholar

[6] P. Montesinos, A. Garcia-Guzman and J.L. Ayuso. Water distribution network optimization using a modified genetic algorithm. Water Resources Research 35(11), pp.3467-3473 (1999).

DOI: 10.1029/1999wr900167

Google Scholar

[7] K. Deb, Multi-objective optimization using evolutionary algorithms, New York: Wiley (2001).

Google Scholar

[8] T. D. Prasad and N. S. Park. Multi-objective genetic algorithms for design of water distribution networks, J. Water Resour. Plann. Manage. 130(1), pp.73-82 (2004).

DOI: 10.1061/(asce)0733-9496(2004)130:1(73)

Google Scholar

[9] M. Nicolini. A two-level evolutionary approach to multi-criterion optimization of water supply systems, in Evolutionary Multi-Criterion Optimization, C. A. Coello Coello et al, Eds., LNCS 3410, Berlin: Springer-Verlag, pp.736-751 (2005).

DOI: 10.1007/978-3-540-31880-4_51

Google Scholar

[10] G. C. Dandy and M. O. Engelhardt. Multi-objective trade-offs between cost and reliability in the replacement of water mains, J. Water Resour. Plann. Manage. 132(2), pp.79-88 (2006).

DOI: 10.1061/(asce)0733-9496(2006)132:2(79)

Google Scholar

[11] S. Sun, S. T. Khu, Z. Kapelan and S. Djordjevic. A fast approach for multi-objective design of water distribution networks under demand uncertainty, J. Hydroinf. 12(2), pp.143-152 (2011).

DOI: 10.2166/hydro.2010.033

Google Scholar

[12] D.F. Yates, A.B. Templeman and T.B. Boffey. The computational complexity of the problem of determining least capital cost designs for water supply networks. Engineering Optimization 7(2), pp.142-155 (1984).

DOI: 10.1080/03052158408960635

Google Scholar

[13] E. Todini. Looped water distribution networks design using a resilience index based heuristic approach, Urban Water, 2, pp.115-122 (2000).

DOI: 10.1016/s1462-0758(00)00049-2

Google Scholar

[14] L.A. Rossman, EPANET 2 Users Manual, Cincinnati, Ohio. United States Environmental Protection Agency (2000).

Google Scholar

[15] K. Deb, A. Pratap and S. Agarwal, A fast and elitist multi-objective genetic algorithm: NSGA-II, IEEE Trans. on Evolutionary Computation, 6(2), pp.182-197 (2002).

DOI: 10.1109/4235.996017

Google Scholar

[16] M. Wall, GAlib: a C++ library of genetic algorithm components, Mechanical Engineering Department, Massachussets Institute of Technology (2000).

Google Scholar

[17] M. Nicolini and L. Zovatto. Optimal location and control of pressure reducing valves in water networks, J. Water Resour. Plann. Manage. 135(3), pp.178-187 (2009).

DOI: 10.1061/(asce)0733-9496(2009)135:3(178)

Google Scholar

[18] M. Nicolini, C. Giacomello and K. Deb. Calibration and optimal leakage management for a real water distribution network, J. Water Resour. Plann. Manage. 137(1), pp.134-142 (2011).

DOI: 10.1061/(asce)wr.1943-5452.0000087

Google Scholar