Supercritical linear birth-and-death processes are considered under the influence of disasters that arrive as a renewal process independently of the population size. The novelty of this paper lies in assuming that the killing probability in a disaster is a function of the time that has elapsed...

The problem of determining optimal reorganization policies for databases which employ file structures with overflow chaining is studied. The dynamics of the file performance driven by update transactions and reorganizations is formulated as a stochastic control model which incorporates...