Stochastic and Sensitivity Analysis of a Self-Adapting System with General Time Distributions
Abstract
The present paper examines a stochastic model for a single unit self-adaptive system. Self-adaptive systems are those that can change their runtime behaviour to accomplish system objectives. The operative system enters in the self-adaptive mode, after which it switches to normal efficiency, low efficiency, or high efficiency depending on the surrounding circumstances. When the system fails in one of these three probable states, an inspection is performed to determine whether the system needs to be repaired or a component needs to be replaced. Preventive/corrective maintenance is performed as and when required to improve the system operating capacity and availability. The stochastic modelling of the system is done using the Markov and regenerative processes. The time distributions are assumed as the general probability distributions. The expressions for system performance measures are derived. Profit and sensitivity functions for the system are also formulated. The behaviour of the various measures and functions obtained is validated by considering numerical examples for the exponential case.
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