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In the case of Atrak river basin, we have considered a six-dimensional problem with the capacities of Darband, Garmab and Ghordanlu reservoirs as design decision variables, and the priorities of these three dams as operational variables. Other reservoirs have smaller potential capacities, so their capacities are assumed to be known. Considering the geologic, topographic and hydrologic conditions, the ranges of capacities are 5 million cubic meters (mcm) to 10 mcm for Darband and Garmab reservoirs and between 5 mcm to 50 mcm for Ghordanlu reservoir (Table 2). Municipal and agricultural water demands have been estimated based on the projection of future population growth and agricultural land and crop patterns at year 2025. Other hydrologic input data including natural and sub-basin river flows, evaporation from and precipitation in to lakes have been gathered and introduced to the model over a historical 20-year period (1976 to 1996) of available records to account for hydrologic variability.

Table 2

Minimum and maximum values of design variables

DamDarbandGarmabGhordanlu
Maximum 10 mcm 10 mcm 50 mcm 
Minimum 4 mcm 5 mcm 5 mcm 
DamDarbandGarmabGhordanlu
Maximum 10 mcm 10 mcm 50 mcm 
Minimum 4 mcm 5 mcm 5 mcm 

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