  We consider the control of a finite dam when the input process is either
spectrally positive Levy or spectrally positive Levy reflected at its infimum,
using P(M,Lambda,tau) control policies. Our results extend and unify the
results Bea et al (2003), Lam and Lou (1987), and Attia (1987). The techniques
used by the above authors involve solving systems of differential or integral
equations. Our methods of proof are based on the theory and methods of scale
functions of Levy processes.
