OPTIMAL DESIGN OF WATER DISTRIBUTION NETWORKS USING FUZZY OPTIMIZATION

References

• Lansey , K. , Duan , N. , Mays , L. W. and Tung , Y. K. ( 1989 ). Water distribution design under uncertainty . Journal of Water Resources Planning and Management, ASCE , 115 ( 5 ), 630 – 645 .
   Web of Science ®Google Scholar
• Goulter , I. ( 1995 ). Analytical and simulation models for reliability analysis in water distribution systems . In “Improving Efficiency and Reliability in Water Distribution systems,” Edited by Cabrera, E. and Vela, A. F. , Kluwer Academic Publishers , London , 235 – 266 .
   Google Scholar
• Xu , C. and Goulter , I. C. ( 1998 ). Probabilistic model for water distribution reliability . Journal of Water Resources Planning and Management, ASCE , 124 ( 4 ), 218 – 228 .
   Web of Science ®Google Scholar
• Xu , C. and Goulter , I. C. ( 1997 ). A new model for reliability-based optimal design of water distribution networks . In; “Managing Water. Coping with Scarcity and Abundance,” Edited by English, M. and Szollosi-Nagy, A., ASCE , New York , 423 – 428 .
   Google Scholar
• Zadeh , L. A. ( 1965 ). Fuzzy sets . Information and Control , 8 , 338 – 353 .
   Web of Science ®Google Scholar
• Cullinane , M. J , Lansey , K. E. and Mays , L. W. ( 1992 ). Optimization- availability-based design of water distribution networks . Journal of Hydraulic Engineering, ASCE , 118 ( 3 ), 420 – 441 .
   Web of Science ®Google Scholar
• Goulter , I. and Bouchart , F. ( 1988 ). Fuzzy programming in water distribution network design . In “Computer Methods and Water Resources, Vol. 2,” Ed. by Ouazar, D. et ah , Computational Mechanics Publications , Southampton , pp. 33 – 44 .
   Google Scholar
• Lyroudia , L. S. V. ( 1994 ). Fuzzy reasoning in irrigation network design . In “Hydrosoft, Vol. (1), Water Resources and Distribution” Edited by Blain, W. R. and Katsifarakis, K. L. , Computational Mechanics Publications , Southampton , pp. 97 – 104 .
   Google Scholar
• Kaufmann , A. Gupta, M. M,( 1991 ). Introduction to Fuzzy Arithmetic . Van Nostrand Reinhold , New York , 361 pages .
   Google Scholar
• Lai , K. L. and Ayyub , B. M. ( 1994 ). Generalised uncertainty in structural reliability assessment . Civil Engineering Systems , 11 ( 2 ), 81 – 110 .
   Google Scholar
• Alperovits , E. and Shamir , U. ( 1977 ). Design of optimal water distribution systems . Water Resources Research , 13 ( 6 ), 885 – 900 .
   Web of Science ®Google Scholar
• Quindry , G. , Brill , E. D. and Liebman , J. C. ( 1981 ). Optimization of looped distribution systems . Journal of Environmental Engineering Division, ASCE , 107 ( EE4 ), 665 – 679 .
   Google Scholar
• Lansey , K. and Mays , L. W. ( 1989 ). Optimization model for water distribution system design . Journal of Hydraulic Engineering, ASCE , 115 ( 10 ), 1401 – 1418 .
   Web of Science ®Google Scholar
• Simpson , A. R. , Dandy , G. C. and Murphy , L. J. ( 1994 ). Genetic algorithms compar and to other techniques for pipe optimization . Journal of Water Resources Planning and Management, ASCE , 120 ( 4 ), 423 – 433 .
   Web of Science ®Google Scholar
• Eiger , G. , Shamir , U. and Be-Tal , A. ( 1994 ). Optimal design of water distribution networks . Water Resources Research , 30 ( 9 ), 2637 – 2646 .
   Web of Science ®Google Scholar
• Savic , D. and Walter , G. ( 1997 ). Genetic algorithm for least-cost design of water distribution networks . Journal of Water Resources Planning and Management, ASCE , 123 ( 2 ), 67 – 77 .
   Web of Science ®Google Scholar
• Goulter , I. and Coals , A. ( 1986 ). Quantitative approaches to reliability assessment in pipe networks . Journal of Transportation Engineering, ASCE , 112 ( 3 ), 287 – 301 .
   Web of Science ®Google Scholar
• Su , Y. , Mays , L. W. , Duan , N. and Lansey , K. ( 1987 ). Reliability based optimization for water distribution system . Journal of Hydraulic Engineering, ASCE , 113 ( 2 ), 589 – 596 .
   Web of Science ®Google Scholar
• Awumah , K. , Goulter , I. C. and Bhatt , S. K. ( 1991 ). Entropy based redundancy measures in water distribution network design . Journal of Hydraulic Engineering, ASCE , 117 ( 5 ), 595 – 614 .
   Web of Science ®Google Scholar
• Bouchart , F. and Goulter , I. ( 1991 ). Reliability improvements in design of water distribution networks recognizing valve location . Water Resources Research , 27 ( 12 ), 3029 – 3040 .
   Web of Science ®Google Scholar
• Ostfeld , A. and Shamir , U. ( 1996 ). Design of optimal reliability multiquality water supply systems . Journal of Water Resources Planning and Management , ASCE , 122 ( 5 ), 322 – 333 .
   Web of Science ®Google Scholar
• Goulter , I. ( 1992 ). System analysis in water distribution network design from theory to practice . Journal of Water Resources Planning and Management , ASCE , 118 ( 3 ), 238 – 248 .
   Web of Science ®Google Scholar
• Walski , T. M. ( 1995 ). Optimization and pipe-sizing descisions . Journal of Water Resources Planning and Management , ASCE , 121 ( 4 ), 340 – 343 .
   Web of Science ®Google Scholar
• Negoita , C. V. ( 1981 ). The current interests in fuzzy optimization . Fuzzy Sets and Systems , 6 , 261 – 269 .
   Web of Science ®Google Scholar
• Goulter , I. C , Lussier , B. M. and Morgan , D. ( 1986 ). Implications of head loss path choice in the optimization of water distribution networks . Water Resources Research , 22 ( 5 ), 819 – 822 .
   Web of Science ®Google Scholar
• Kessler , A. and Shamir , U. ( 1989 ). Analysis of the linear programming gradient method for optimal design of water supply networks . Water Resources Research , 25 ( 7 ), 1469 – 1480 .
   Web of Science ®Google Scholar
• Morgan , D. R. and Goulter , I. C. ( 1985 ). Optimal urban water distribution design . Water Resources Research , 21 ( 5 ), 642 – 652 .
   Web of Science ®Google Scholar
• Jowitt , P. W. and Xu , C. ( 1993 ). Predicting pipe failure effects in water distribution network . Journal of Water Resources Planning and Management , ASCE , 119 ( 1 ), 18 – 31 .
   Web of Science ®Google Scholar
• Delgado , M. , Kacprzyk , J. , Verdegay , J. L. and Amparo , M. ( 1994 ). Fuzzy Optimization , Physical-Verlag Heidelberg . Germany , 459 pages.
   Google Scholar
• Inuiguchi , N. , Ichihashi , H. Tanaka , H. ( 1990 ). Fuzzy programming a survey of recent developments . In “Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty” Edited by Slowinski, R. and Teghem, J. Kluwer Academic Publishers , 45 – 68 .
   Google Scholar
• Pence , J. A. , Soyster , A. L. ( 1989 ). The relationship between fuzzy set programmingsemi-infinite linear programming. In “Applications of Fuzzy Set Methodologies in Industrial Engineering” Edited by Evans, G. W., Karwowski, W. and Wilhetm, M. R. , Elsevier , Amsterdam , 237 – 252 .
   Google Scholar
• Dubois , D. and Prad , H. ( 1988 ). Possibility Theory : An Approach to Computerised Processing of Uncertainty . Plenum Press , New York , 263 pages.
   Google Scholar