Abstract—The system receives a stream of tasks which arrive
according to some random processes. A new availability measure,
random-request availability, is proposed. This stochastic model
provides closed-form mathematical expressions which incorporate
the 3 basic elements:
• random task arrivals,
• system state,
• operational requirements of the system.
An analytic model is derived and illustrated by numerical examples.
Index Terms—Operational requirements of the system, randomrequest
availability, random task arrival, system state.
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