We present analytic results for warehouse systems involving pairs of carousels. Specifically, for various picking strategies, we show that the sojourn time of the picker satisfies an integral equation that is a contraction mapping. As a result, numerical approximations for performance measures such as the throughput of the system are extremely accurate and converge fast (e.g. within 5 iterations) to their real values. We present simulation results validating our results and examining more complicated strategies for pairs of carousels.
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Cambridge U.P.
Probability in the Engineering and Informational Sciences
Stochastics

Bossier, R, Vlasiou, M, & Adan, I.J.B.F. (2012). Analytic properties of two-carousel systems. Probability in the Engineering and Informational Sciences, 27, 1–28.