Table I

Parameters in the IBWT supply chain for the numerical analysis

Water intake iMainline water transfer cost ciActual water transfer cost CiBranch-line water transfer cost cdiRetail price piHolding cost hiShortage cost riBasic water demand di
10.250.260.050.940.050.4250,000,000
20.300.590.061.960.120.95100,000,000
30.350.990.073.190.201.59150,000,000
40.401.470.084.640.292.35200,000,000
50.452.020.096.320.403.23250,000,000
60.502.650.108.250.534.24300,000,000
Water intake iMean value of precipitation μiStandard deviationD of precipitation σiBenchmark profit ΠSibBenchmark profit ΠDibBenchmark profit Π¯SibBenchmark profit Π¯Dib
13.00E+081.00E+0712,000,0009,000,00010,800,0008,100,000
22.50E+088.00E+0660,000,00040,000,00054,000,00036,000,000
32.00E+086.00E+06150,000,000100,000,000135,000,00090,000,000
41.50E+084.00E+06300,000,000200,000,000270,000,000180,000,000
51.00E+082.00E+06400,000,000300,000,000360,000,000270,000,000
65.00E+071.00E+06600,000,000500,000,000540,000,000450,000,000

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