Consider a machine that is subject to breakdowns. The machine can only break down when it is processing a job. The up times of the machine, when it is processing jobs, are i.i.d. exponential and the down times are i.i.d. exponential as well. There are two job classes that are released according to in- dependent Poisson processes. Class 1 jobs have preemptive priority over Class 2 jobs. The processing times of Class 1 (2) jobs are exponentially distributed with rate λ1 (λ2).
(a) Can Theorem 11.3.1 be generalized to this setting?

(b) Can Theorem 11.3.1 be generalized to include the case where the ma-
chine can break down at any time, i.e., also when it is idle.

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