Determining the Optimal Order Picking Batch Size in Single Aisle Warehouses

25 Pages Posted: 17 Feb 2003

See all articles by Tho Le-Duc

Tho Le-Duc

Erasmus University Rotterdam (EUR) - Rotterdam School of Management (RSM); Erasmus Research Institute of Management (ERIM)

M. B. M. de Koster

Erasmus University Rotterdam (EUR) - Department of Technology and Operations Management

Date Written: December 2002 7,

Abstract

This work aims at investigating the influence of picking batch size to average time in system of orders in a one-aisle warehouse under the assumption that order arrivals follow a Poisson process and items are uniformly distributed over the aisle's length. We model this problem as an M/G[k]/1 queue in which orders are served in batches of exactly orders. The average time in system of the M/G[k]/1 queue is difficult to obtain for general service times. To circumvent this obstacle, we perform an extensive numerical experiment on the average time in system of the model when the service time is deterministic (M/D[k]/1) or exponentially distributed (M/M[k]/1). These results are then compared with the corresponding times in system of the actual model taken from simulation runs. A variance analysis is carried out and its result elicits that the M/D/[k]/1 queue is a very good approximation for the average time in system of orders. Correspondingly, the optimal picking batch size of the real system can be approximated by the optimal batch size when service time is deterministic.

Keywords: order picking, warehousing, batch picking, batch size, batch service queue

JEL Classification: M, M11, R4, C59

Suggested Citation

Le-Duc, Tho and de Koster, M.B.M. René, Determining the Optimal Order Picking Batch Size in Single Aisle Warehouses (December 2002 7,). ERIM Report Series Reference No. ERS-2002-64-LIS. Available at SSRN: https://ssrn.com/abstract=371009

Tho Le-Duc (Contact Author)

Erasmus University Rotterdam (EUR) - Rotterdam School of Management (RSM) ( email )

P.O. Box 1738
Room T08-21
3000 DR Rotterdam, 3000 DR
Netherlands

Erasmus Research Institute of Management (ERIM)

P.O. Box 1738
3000 DR Rotterdam
Netherlands

M.B.M. René De Koster

Erasmus University Rotterdam (EUR) - Department of Technology and Operations Management ( email )

RSM Erasmus University
PO Box 1738
3000 DR Rotterdam
Netherlands
+31 10 408 1719 (Phone)
+31 10 408 9014 (Fax)

HOME PAGE: http://www.rsm.nl/rdekoster

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