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

Mohamed A. Ahmed, Donald Gross and Douglas R. Miller
Management Science
Vol. 38, No. 3 (Mar., 1992), pp. 388-399
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/2632482
Page Count: 12
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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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