Exact results for the order picking time distribution under return routing
Probability
2025-03-10 v1
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.
Cite
@article{arxiv.2207.12695,
title = {Exact results for the order picking time distribution under return routing},
author = {Tim Engels and Ivo Adan and Onno Boxma and Jacques Resing},
journal= {arXiv preprint arXiv:2207.12695},
year = {2025}
}