No abstract

No abstract

No abstract

Discrete event dynamic systems are studied in which the time evolution depends on the max-, rain-, and the summation operation simultaneously. Specifically, necessary and sufficient conditions are given under which the operator which characterizes the evolution of such a system has an eigenvalue and eigenvector(s). Numerical algorithms to calculate these quantities are also provided.

We consider the time-optimal control of a dynamic that of a parts-manufacturing system i n which machines system with jump parameters. The motivating example i s f a i l and are repaired according t o k n m Markov prccesses. It i s desired to obtain a feedback control of parts-routing t o machines, which minimizes the expected canpletion time of a given production-target.Using a Dynamic Prograwning approach, we derive optimality conditions. These a r e used for solution of a simple example. I t i s seen that closed form solutions would be very hard to obtain for large problems, so alternat i v e approaches are also discussed.