Reliable Water Supply System Design under Uncertainty Case Study: Zayandehroud River Basin

Document Type : Research Paper



Water distribution network system includes multiple sources of supply and demand centers. Uncertainty in the amount of demand and supply on these systems causes many problems for decision-makers and designers. Various methods were proposed to overcome the uncertainty problem in these systems. In this study, to allocation of water in the water supply network of Zayandehrud basin, optimization with degree of conservative (degree of uncertainty) controller parameters were used. The objective function of the study was to minimize the water distribution network costs. A 15-year design and operation period (2024-2009) including two 5-year course designed to expand and create new facilities and a 10-year period of operation in the water distribution network was considered. The results showed that the total cost of development of water distribution networks in the study area is 1/31 billion dollars. Based on the findings, increased groundwater fed ponds to compensate for water shortage in the groundwater resources is recommended. In addition, Increase irrigation efficiency reduces costs related to the water distribution network of agricultural sector.


1-Watkins, D.W., and McKinney, D.C. (1997). “Finding robust solutions to water resources problems.” J. Water Resources Planning and Management, 123 (1), 49-58.
2-Elshorbagy, W., Yakowitz, D., and Lansey, K. (1997). “Design of engineering systems using a stochastic decomposition approach.” J. Engineering Optimization, 27 (4), 279-302.
3-Jenkins, M.W., and Lund, J.R. (2000). “Integrating yield and shortage management under multiple uncertainties.” J. Water Resources Planning and Management, 126 (5), 288-297.
4-Lund, G.R., and Israel, M. (1995). “Optimization of transfer in urban water supply planning.” J. Water Resources Planning and Management, 121 (1), 41-48.
5-Wilchfort, G., and Lund, J.R. (1997). “Shortage management modeling for urban water supply systems.”
J. Water Resources Planning and Management, 123 (4), 250-258.
6-Maqsood, I., Huang, G.H., and Yeomans, J.S. (2005(. “An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty.” European J. of Operational Reserch, 165, 208-225.
7-Chung, G., Lansey, K., and Bayraksan, G. (2009). “Reliable water supply system design under uncertainty.”
J. Environmental Modelling and Software, 24 (4), 449-462.
8- Nabaviavpour, M., Pourabade, M., and Pourabade, T. (2008). “Water pipeline path optimization by artificial intelligence (fuzzy logic), case study: Water delivery to Siahpoush rural lands.” Fourth National Congress on Civil Engineering, University of Tehran. (In Persian)
9- Tabesh, M., and Zabihi, M. (2008). “Effects of qualitative constraints in water distribution network optimization.” Fourth National Congress on Civil Engineering, University of Tehran. (In Persian)
10- Rastegaripour, F., and Sbouhi, M. (2010). “An optimization model for kardeh reservoir operation using interval-parameter, multi-stage, stochastic programming.” J. Water and Wastewater, 75, 88-98. (In Persian)
11- Borhani, A., and Moradi, A.M. (2010). “Application of ant-colony-based algorithms to multi-reservoir water resources problems.” J. Water and Wastewater, 76, 81-91. (In Persian)
12- Hoseini Abari, S.H. (2000). Zayandehrood, from source to swamp, Golha Pub., Isfahan. (In Persian)
13- Safavi, H.R., and Afshar, A. (2006). “Integrated water resources modeling, case study: Zayandehrood basin.” Second Conference on Water Resources Management, Isfahan University of Tech., Isfahan. (In Persian)
14- Mardani, M., Sakhdari, H., and Sabouhi, M. (2011). “Application of multi-objective programming and degree of conservative controller parameters in agricultural planning, the case study: Mashhad district.”
 J. Agricultural Economics Research, 2, 161-187.
15- Regional Water Organization of Isfahan Province. (2008). Statistics of water transfer between basins, Isfahan. (In Persian)
16- Database of Regional Water Organization of Isfahan Province. (2009). Department of basic studies of water resources, <>. (May 2009)
17- Jehad-e-Keshavarzi Organization of Isfahan Province. (2009). Statistics relating to the use of agriculture inputs, Isfahan. (In Persian)
18- Database of Mapping Organization of Iran. (2009). <>. (May 2009).
19-Bertsimas, D., and Sim, M. (2004). “The price of robustness.” Operations Research, 52 (1), 35-53.
20-Clark, R.M., Sivaganesan, M., Selvakumar, A., and Sethi, V. (2002). “Cost models for water supply distribution systems.” J. Water Resources Planning and Management, 128 (5), 312-321.
21-US. Army Corps of Engineers. (1980). Methodology for areawide planning studies, Engineer Technical Letter No. 1110-2-502, Washington, D.C.
22-Walski, T.M., Brill, E.D., Gessler, J., Goulter, I.C., Jeppson, R.M., Lansey, K., Lee, H., Liebman, J.C., Mays, L., Morgan, D.R., and Ormsbee, L. (1987). “Battle of the network models: Epilogue.” J. Water Resources Planning and Management, 113 (2), 191-203.
23-Tang, C.C., Brill, E.D., and Pfeffer, J.T. (1987). “Optimization techniques for secondary wastewater treatment system.” J. Environmental Engineering, 113 (5), 935-951.