Stochastic models for random-request availability
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.
random-request availability random task arrival system state operational requirements of the system