Control Variate Models for Estimating Transient Performance Measures in Repairable Item Systems

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Abstract
We develop a new modeling idea for comparing infinite-source, ample-server models (∞/∞) and finite-source, finite-server models (f/f). The comparison provides an efficient estimate of the error when approximating an f/f system with an ∞/∞ system and allows the analytical solution of the ∞/∞ model to be used as a control variate. We show that using ∞/∞ models as control variates for f/f systems can be an effective variance reduction technique for system performance estimates. Using these estimates will allow us to determine more efficiently when ∞/∞ models are good approximations for f/f systems.

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