Table 2.

The notations in the proposed model .

Category	Notations	Implication
Indices	i	Index of water-intake (i = 1, 2,… 15)
	j	index of water use sector (j = 1, 2, 3, 4)
	t	index of time series (t = 1, 2,… 12)
	max	Superscript of maximum
	min	Superscript of minimum
Parameters	AWi,t	The available water in ith water-intake in tth time
	RWUi,t	The cumulative percentage of water consumption in ith water-intake in tth
		Time
	RPi,t	The cumulative percentage of population in ith water-intake in tth time
	RGi,t	The cumulative percentage of GDP in ith water-intake in tth time
	RWi,t	The cumulative percentage of available water resources in ith water-intake in tth time
	PGCt	Gini coefficient between population and water consumption in tth time
	GGCt	Gini coefficient between GDP and water consumption in tth time
	WGCt	Gini coefficient between available water resources and water consumption in tth time
	EPGC	The average value of PGCt
	EGGC	The average value of GGCt
	EWGC	The average value of WGCt
Decision variables	x	Vector of decision variables $x_{i,j}^t$
	y	Vector of decision variables $y_{i,j}^t$
	$x_{i,j}^t$	Water allocated to the jth sector in ith water-intake in tth time
	$y_{i,j}^t$	Discharge of the jth reservoir in ith water-intake in tth time