  A simple random-neighbor SOC model that combines properties of the
Bak-Sneppen and the relaxation oscillators (slip-stick) models is introduced.
The analysis in terms of branching processes is transparent and gives insight
about the development of large but finite mean avalanche sizes in dissipative
models. In the thermodynamic limit, the distribution of states has a simple
analytical form and the mean avalanche size, as a function of the coupling
parameter strength, is exactly calculable.
