Water distribution network analysis under fuzzy demands

Civil Engineering and Environmental Systems

Volumn 29, Issue 2, 2012, Pages 107-122

  Spiliotis, M ^a   Tsakiris, G ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

fuzzy approach; fuzzy water demand; h solution; looped pipe network; Newton Raphson method

Indexed keywords

CONTINUITY EQUATIONS; DESIGN PRESSURE; FUZZY APPROACH; FUZZY DEMAND; H-SOLUTION; HYDRAULIC HEADS; HYDRAULIC NETWORKS; INPUT VARIABLES; MULTI-CRITERIA; OPTIMISATIONS; PIPE NETWORK ANALYSIS; PIPE NETWORKS; ROUGHNESS COEFFICIENT; VULNERABLE AREA; WATER DEMAND;

FUZZY SETS; NEWTON-RAPHSON METHOD; PIPE; UNCERTAINTY ANALYSIS;

WATER DISTRIBUTION SYSTEMS;

DISTRIBUTION SYSTEM; FUZZY MATHEMATICS; HYDRAULIC HEAD; NETWORK ANALYSIS; PIPELINE; UNCERTAINTY ANALYSIS; WATER DEMAND; WATER SUPPLY;

EID: 84862065167     PISSN: 10286608     EISSN: 10290249     Source Type: Journal    
DOI: 10.1080/10286608.2012.663359     Document Type: Article

References (27)

1. Abbasbandy, S. and Asady, B. 2004. Newton's method for solving fuzzy nonlinear equations. Applied Mathematics and Computation, 159: 349-356.
2. Branisavljevic, N. and Ivetic, M. 2006. Fuzzy approach in the uncertainty analysis of the water distribution network of Becej. Civil Engineering and Environmental Systems, 23(2): 221-236.
3. Buckley, J., Eslami, E. and Feuring, T. 2002. "Solving fuzzy equations". In Fuzzy mathematics in economics and engineering, Edited by: Buckley, J., Eslami, E. and Feuring, T. 19-46. Heidelberg: Springer-Verlag.
4. Christodoulou, S. and Deligianni, A. 2009. A neurofuzzy decision framework for the management of water distribution networks. Water Resources Management, 24(1): 139-156.
5. Ekinci, O. and Konak, H. 2009. An optimization strategy for water distribution networks. Water Resources Management, 23: 169-185.
6. Giustolisi, O., Laucelli, D. and Colombo, A. F. 2009. Deterministic versus stochastic design of water distribution networks. Journal of Water Resources Planning and Management, ASCE, 135(2): 117-127.
7. Gupta, R. and Bhave, P. 2007. Fuzzy parameters in pipe network analysis. Civil Engineering and Environmental Systems, 24(1): 33-54.
8. Klir, G. and Yuan, B. T. 1995. Fuzzy sets and fuzzy logic theory and its applications, Englewood Cliffs, NJ: Prentice Hall.
9. Lansey, K. and Mays, L. 2000. "Hydraulics of water distribution systems". In Water distribution systems handbook, Edited by: Mays, L. 4.19-4.20. New York: McGraw-Hill.
10. Lansey, K. E., Ning Duan Mays, L. W. and Yeou-Kung, T. 1989. Water distribution system design under uncertainties. Journal of Water Resources Planning and Management, ASCE, 115(4): 630-645.
11. Mays, L. and Tung, Y.-K. 1992. "Water distribution systems". In Hydrosystems engineering and management, Edited by: Mays, L. and Tung, Y.-K. 354-385. New York: McGraw-Hill.
12. Nazif, S. 2010. Pressure management model for urban water distribution networks. Water Resources Management, 24: 437-458.
13. Papadopoulos, B. and Sirpi, M. 1999. Similarities in fuzzy regression models. Journal of Optimization Theory and Applications, 102(2): 373-383.
14. Rackwitz, R. and Fiessler, B. 1978. Structural reliability under combined random load sequences. Computers and Structures, 9: 489-494.
15. Rao, S. S. and Chen, L. 1988. Numerical solution of fuzzy linear equations in engineering analysis. International Journal for Numerical Methods in Engineering, 43: 391-408.
16. Revelli, R. and Ridolfi, L. 2002. Fuzzy approach for analysis of pipe networks. Journal of Hydraulic Engineering, ASCE, 128(1): 93-101.
17. Sasikumar, K. and Mujumdar, P. P. 1998. Fuzzy optimization model for water quality management of a river system. Journal of Water Resources Planning and Management, ASCE, 124: 79-88.
18. Spiliotis, M. and Tsakiris, G. 2007. Minimum cost irrigation network design using interactive fuzzy integer programming. Journal of Irrigation and Drainage Engineering, ASCE, 133: 242-248.
19. Todini, E. and Pilati, S. 1988. A gradient algorithm for the analysis of pipe networks. Computer Applications in Water Supply, 1: 1-20.
20. Tsakiris, G. and Spiliotis, M. 2004. Fuzzy linear programming for problems of water allocation under uncertainty. European Water, 7/8: 25-37.
21. Tsakiris, G. 2009. Assessing the water potential of karstic saline springs by applying a fuzzy approach: the case of Almyros (Heraklion-Crete). Desalination, 237: 54-64.
22. Tsakiris, G., Tigkas, D. and Spiliotis, M. 2006. Assessment of interconnection between two adjacent watersheds using deterministic and fuzzy approaches. European Water, 15/16: 15-22.
23. Walski, T. M. 2003. "Advanced water distribution modeling and management". In Haestad methods, Edited by: Walski, T. N. 34Waterbury: Haestad Press.
24. Xu, C. and Goulter, I. 1998. Probabilistic model for water distribution reliability. Journal of Water Resources Planning and Management, ASCE, 124(3): 218-228.
25. Xu, C. and Goulter, I. C. 1999. Reliability-based optimal design of water distribution network. Journal of Water Resources Planning and Management, ASCE, 125(6): 352-362.
26. Xu, C., Goulter, I. C. and Tickle, K. 2003. Assessing the capacity reliability of ageing water distribution systems. Civil Engineering and Environmental System, 20(2): 119-133.
27. Zimmermann, H. J. 1996. "The extension principle and applications". In Fuzzy set theory and its applications, Edited by: Zimmermann, H. J. 53-67. Boston, Dordrecht, London: Kluwer Academic Publishers.