A Combined Dynamic Programming and Simulation Approach to the Sizing of the Low-Level Order-Picking Area

Dragan Djurdjević, Nenad Bjelić (), Dražen Popović and Milan Andrejić
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Dragan Djurdjević: Faculty of Transport and Traffic Engineering, University of Belgrade, 11120 Beograd, Serbia
Nenad Bjelić: Faculty of Transport and Traffic Engineering, University of Belgrade, 11120 Beograd, Serbia
Dražen Popović: Faculty of Transport and Traffic Engineering, University of Belgrade, 11120 Beograd, Serbia
Milan Andrejić: Faculty of Transport and Traffic Engineering, University of Belgrade, 11120 Beograd, Serbia

Mathematics, 2022, vol. 10, issue 20, 1-23

Abstract: In order to increase the efficiency of the order-picking process, warehouses are forced to find ways to adopt to constantly intensifying changes in the assortment and quantities of stored products. Accordingly, we present a methodology that deals with such a problem at a tactical level by defining the optimal size and an allocation of products within the order-picking area of the most typical order-picking setting. The methodology combined two methods, dynamic programming and simulation modelling, with the aim of taking advantages of their positive features. In that sense, the optimal allocation of products for different sizes of the order-picking zone were obtained by the dynamic programming approach. Afterwards, the influence of a demand’s seasonality and variations were treated by the simulation model, so that the more realistic performances of the system were captured for the optimal allocation of products. The methodology was tested on the retailer data with significant week seasonality. The obtained results confirmed the practical applicability of the methodology in real systems, while the sensitivity analysis of results showed that special attention and effort should be given to the determination of costs related to the engagement of order-pikers, storage equipment and unit replenishment during a planning period.

Keywords: order-picking; order-picking area; warehouse; dynamic programming; simulation; operations research; supply chains (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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