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arxiv 2409.13219 v1 pith:OF3APLFZ submitted 2024-09-20 math.OC

A Modified Algorithm for Optimal Picker Routing in a Single Block Warehouse

classification math.OC
keywords algorithmaisleoptimalpickerproblemroutingtourwarehouse
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The order picker routing problem involves finding the optimal tour of a warehouse that collects all the required items on a given pick list. Ratliff and Rosenthal introduced a dynamic programming algorithm for solving this problem in polynomial time by sequentially adding edges inside and between each aisle to construct a tour. We provide a method where only transitions from one aisle to the next are considered, significantly reducing the number of stages in the algorithm.

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