Bi-Objective Design of Water Distribution Networks Considering Fuzzy Randomness in Nodal Demands and Pipe Roughness Coefficients
Publication: World Environmental and Water Resources Congress 2022
ABSTRACT
Imprecision and unpredictability in both future water consumption and pipe roughness coefficients in optimal design of water distribution networks (WDNs) are considered using fuzzy random variables for the first time in this study. The optimal design problem is defined as a two-objective optimization problem, with the objectives of minimizing total design cost and maximizing system performance. Dempster-Shafer theory of evidence is used to represent an acceptable degree of proof, i.e., a degree of necessity or belief. An efficient algorithm based on Monte Carlo procedure is developed to assess the fuzzy random system reliability and derive a Pareto front for optimal design using the cross entropy (CE) optimization. Two case studies are used to demonstrate the methodology. The results from both the cases indicate that the new methodology is capable of effectively accommodating and managing a variety of fuzzy and random sources of uncertainty and providing optimal design solutions.
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REFERENCES
Babayan, A., Kapelan, Z., Savic, D., and Walters, G. (2005). “Least-Cost design of water distribution networks.” J. Water Resour. Plann. Manage., ASCE, 131(5), 375–382.
Bhave, P. R., and Gupta, R. (2006). Analysis of Water Distribution Networks. Narosa publishing House, New Delhi, India. Alpha Science Int’l Ltd.
Bruni, M. E., Beraldi, P., and Conforti, D. (2017). “Water distribution networks design under uncertainty.” Top, 25(1), pp.111–126.
Dongre, S. R., and Gupta, R. (2017). “Optimal design of water distribution network under hydraulic uncertainties.” ASCE-ASME J. of Risk and Uncertainty in Eng. Sys., Part A: Civil Engineering, 3(3), G4017001-1-11.
Dubois, D., and Prade, H. (1986). “Weighted minimum and maximum operations in fuzzy sets theory.” Inf. Sci. (N.Y.), 39(2), 205–210.
Filion, Y. R., and Jung, B. S. (2010). “Least-cost design of water distribution networks including fire damages.” J. Water Resour. Plann. Manage, 136(6), pp.658–668.
Filion, Y. R., Adams, B. J., and Karney, B. W. (2007). “Stochastic design of water distribution systems with expected annual damages.” Journal of water resources planning and management, 133(3), pp.244–252.
Fu, G., and Kapelan, Z. (2011). “Fuzzy probabilistic design of water distribution networks.” Water Resour. Res., 47(5), 1–12.
Hwang, H., and Lansey, K. (2017). “Water distribution system classification using system characteristics and graph-theory metrics.” J. Water Resour. Plann. Manage, 143(12), p.04017071.
Kang, D. S., Pasha, M. F. K., and Lansey, K. (2009). “Approximate methods for uncertainty analysis of water distribution systems.” Urban Water J., 6(3), 233–249.
Kwakernaak, H. (1978). “Fuzzy random variables-i.definitions and theorems.” Inf. Sci., 29, 1–29.
Lansey, K. E., Duan, N., Mays, L. W., and Tung, Y. K. (1989). “Water distribution system design under uncertainties.” J. Water Resour. Plann. Manage., ASCE, 115(5), 630–645.
Revelli, R., and Ridolfi, L. (2002). “Fuzzy approach for analysis of pipe networks.” J. Hydraul. Eng., 128(1), 93–101.
Rubinstein, R. Y. (1997). “Optimization of computer simulation models with rare events.” European Journal of Operational Research, 99(1), pp.89–112.
Schaake, J. C., and Lai, D. (1969). “Linear programming and dynamic programming applied to water distribution network design.”.
Shibu, A., and Reddy, M. J. (2014). “Optimal design of water distribution networks considering fuzzy randomness of demands using cross entropy optimization.” Water Resour. Res., 28(12), 4075–4094.
Spiliotis, M., and Tsakiris, G. (2012). “Water distribution network analysis under fuzzy demands.” Civ. Eng. Environ. Syst., 29(2), 107–122.
Xu, C., and Goulter, I. C. (1999). “Reliability-based optimal design of water distribution networks.” J. Water Resour. Plann. Manage., ASCE, 125(6), 352–362.
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World Environmental and Water Resources Congress 2022
Pages: 957 - 966
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Published online: Jun 2, 2022
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