A Level Crossing Approach to the Finite Dam with D-policy

Abstract

Using the level crossing technique, we present a transform-free analysis of a finite dam with D-policy. The input process is a compound Poisson process. An accumulation period and a release period constitute a regeneration cycle. A release period begins at the instant the amount of water accumulated during the preceding accumulation period exceeds D. The output rate is one during a release period. The next accumulation period begins at the instant the dam becomes empty.