Abstract
The distribution of the reservoir content is examined (discrete time, continuous state space) for constant release continuous during the time interval (t, t + 1). Empty and full reservoir probabilities are expressed by the Dirac delta function. The distribution of the reservoir content at time t + 1 is obtained from that at time t by convolution, taking into account the constraints in the range of variation of the content of the finite reservoir that may not meet the demand. The case of nonzero probabilities of zero inflows is briefly discussed, and the equations for the discrete case are derived from those of the continuous by substituting summations for the integrals.
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