Analytic properties of two-carousel systems

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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 five iterations) to their real values. We present simulation results validating our results and examining more complicated strategies for pairs of carousels.
Original languageEnglish
Pages (from-to)57-84
JournalProbability in the Engineering and Informational Sciences
Volume27
Issue number1
DOIs
Publication statusPublished - 2013

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Warehouses
Integral equations
Throughput
Contraction Mapping
Sojourn Time
Numerical Approximation
Performance Measures
Integral Equations
Converge
Iteration
Simulation
Strategy
Performance measures
Warehouse
Contraction mapping
Approximation

Cite this

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title = "Analytic properties of two-carousel systems",
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 five 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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journal = "Probability in the Engineering and Informational Sciences",
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Analytic properties of two-carousel systems. / Bossier, R.; Vlasiou, M.; Adan, I.J.B.F.

In: Probability in the Engineering and Informational Sciences, Vol. 27, No. 1, 2013, p. 57-84.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Vlasiou, M.

AU - Adan, I.J.B.F.

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DO - 10.1017/S0269964812000307

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