Analytic properties of two-carousel systems

Ruben Bossier, Maria Vlasiou, Ivo Adan

Research output: Contribution to journalArticleAcademicpeer-review

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
Pages (from-to)57-84
Number of pages28
JournalProbability in the engineering and informational sciences
Volume27
Issue number1
Early online date10 Dec 2012
DOIs
Publication statusPublished - Jan 2013
Externally publishedYes

Keywords

  • math.PR

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