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Mathematics, 06.05.2020 00:32 shaniqwakirkseyniqwa

A worker has a number of machines to repair. Each time a repair is completed, a new one is begun. Each repair independently takes the exponential amount to time with rate µ to complete. However, independent of this, mistakes occur according to a Poisson process with rate λ. Whenever a mistake occurs, the item is ruined and work is started on a new item. In the long run, how often are jobs completed?

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A worker has a number of machines to repair. Each time a repair is completed, a new one is begun. Ea...

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