ScienceAsia 5 (1979): 073-087 |doi: 10.2306/scienceasia1513-1874.1979.05.073

THE WATER STORAGE PROBLEM WITH INDEPENDENT NORMAL INFLOWS

H.N. PHIEN,^a A. ARBHABHIRAMA^a and P. SUTABUTR^b

Summary: Assuming that the annual inflows to the reservoir under consideration are distributed as independent normal variables and the annual outflows are equal to the sample mean of the inflows, the distributions of the water content in various years, the maximum amounts of water in surplus and in deficit. and the storage capacity were investigated under the condition that the reservoir allows neither spillage nor emptiness during its lifetime. The water contents in various years were found to be distributed as normal variables; the maximum amount of water in swplus or in deficit has a probability mass at zero and a probability density function elsewhere, which was fitted by the Type I Pearson curve; and the storage capacity was fitted by the Type III curve. All the fittings were assessed by using the Chi-square test of goodness of fit.

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a Asian Institute of Technology, P.O. Box 2754, Bangkok, Thailand
b National Energy Administration of Thailand, Bangkok, Thailand

Received 1 March 1979