Highlights The first closed-form expression derived for the expectation of the largest gap between consecutive picks in an aisle. The derivation uses the mathematical theory of ordered uniform spacings. Both continuous and discrete aisle assumptions used. The results are used to derive the average pick distance of the largest gap routing in a multi-aisle warehouse. A comparison with previous approaches shows that the method is extremely fast and accurate.
Abstract The expectation of the largest gap between two consecutive picks in an aisle is a basic building block in modelling the pick travel distance for the largest gap routing policy in a warehouse. Researchers have predominantly used either simulation or recursive algorithms for its estimation. This paper develops analytical expressions for this statistic in, both, continuous and discrete aisles using the statistical theory of ordered uniform spacings. We further demonstrate how these results can apply to the entire multi-aisle warehouse. Our results show that these expressions are accurate and extremely fast to evaluate as compared to the existing approaches.
On the expectation of the largest gap in a warehouse
2020-09-21
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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