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Abstract

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.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages28
Publication statusPublished - 2011

Publication series

NameReport Eurandom
Volume2011031
ISSN (Print)1389-2355

Fingerprint

contraction
iteration
integral equations
approximation
simulation

Cite this

Bossier, R., Vlasiou, M., & Adan, I. J. B. F. (2011). Analytic properties of two-carousel systems. (Report Eurandom; Vol. 2011031). Eindhoven: Eurandom.
Bossier, R. ; Vlasiou, M. ; Adan, I.J.B.F. / Analytic properties of two-carousel systems. Eindhoven : Eurandom, 2011. 28 p. (Report Eurandom).
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abstract = "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.",
author = "R. Bossier and M. Vlasiou and I.J.B.F. Adan",
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Bossier, R, Vlasiou, M & Adan, IJBF 2011, Analytic properties of two-carousel systems. Report Eurandom, vol. 2011031, Eurandom, Eindhoven.

Analytic properties of two-carousel systems. / Bossier, R.; Vlasiou, M.; Adan, I.J.B.F.

Eindhoven : Eurandom, 2011. 28 p. (Report Eurandom; Vol. 2011031).

Research output: Book/ReportReportAcademic

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Bossier R, Vlasiou M, Adan IJBF. Analytic properties of two-carousel systems. Eindhoven: Eurandom, 2011. 28 p. (Report Eurandom).