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arXiv · 2207.12695

Exact results for the order picking time distribution under return routing

Tim Engels·Ivo Adan·Onno Boxma·Jacques Resing
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Abstract

This paper derives exact expressions for the Laplace-Stieltjes transform of the order picking time in single- and 2-block warehouses. We consider manual warehouses that deploy return routing and assume that order sizes follow a Poisson distribution. The results in this paper apply to a wide range of storage policies, including but not restricted to class-based and random storage. Furthermore, we compare the performance of the storage policies and warehouse lay-outs by using numerical inversion of the Laplace-Stieltjes transforms.

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Tim Engels, Ivo Adan, Onno Boxma, Jacques Resing. 2022-07-26. Exact results for the order picking time distribution under return routing. https://doi.org/10.1016/j.orl.2023.02.003

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