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The reasons for using "Alternating Sequential/Parallel" ASP-systems, are their higher speed and availability. An algorithm for state estimation is developed based on conditions of "cutting" and "observability". It is then shown to have an extremely high speedup even if all degradation factors are included. Simulation results prove that the convergence of the algorithm is the same as that normally obtained. The same algorithm may be used in a "distributed network" of computers.