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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2207.12695 |
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| _version_ | 1866913723677933568 |
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| author | Engels, Tim Adan, Ivo Boxma, Onno Resing, Jacques |
| author_facet | Engels, Tim Adan, Ivo Boxma, Onno Resing, Jacques |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12695 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exact results for the order picking time distribution under return routing Engels, Tim Adan, Ivo Boxma, Onno Resing, Jacques Probability 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. |
| title | Exact results for the order picking time distribution under return routing |
| topic | Probability |
| url | https://arxiv.org/abs/2207.12695 |