Question
A computer has five processing units (PUs). The lifetimes of the PUs are i.i.d. Exp() random variables. When a PU fails, the computer tries to
A computer has five processing units (PUs). The lifetimes of the PUs are i.i.d. Exp() random variables. When a PU fails, the computer tries to isolate it automatically and reconfigure the system using the remaining PUs. However, this process succeeds with probability c, called the coverage factor. If the reconfiguring succeeds, the system continues with one less PU. If the process fails, the entire system crashes. Assume that the reconfiguring process is instantaneous and that once the system crashes it stays down forever. Let X(t) be 0 if the system is down at time t; otherwise it equals the number of working PUs at time t. Model {X(t) : t 0} as a CTMC, and show its rate diagram and generator matrix.
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