Analytic properties of two-carousel systems
Probability in the Engineering and Informational Sciences , Volume 27 p. 1- 28
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.
|Probability in the Engineering and Informational Sciences|
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.