Bullwhip and batching: An exploration

Potter, Andrew Thomas ORCID: https://orcid.org/0000-0002-3157-9735 and Disney, Stephen Michael ORCID: https://orcid.org/0000-0003-2505-9271 2006. Bullwhip and batching: An exploration. International Journal of Production Economics 104 (2) , pp. 408-418. 10.1016/j.ijpe.2004.10.018

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Abstract

The rounding of orders to achieve a batch size is recognised as a source of the bullwhip problem within supply chains. While it is often advocated that batch sizes should be reduced as much as possible, there has been limited investigation into the impact of batching on bullwhip. Here we consider scenarios where orders are placed only in multiples of a fixed batch size, for both deterministic and stochastic demand rates. We derive a closed form expression for bullwhip when demand is deterministic. This is validated through a simple model of a production control system. An expression for bullwhip in a “pass on orders” scenario with stochastic demand is also derived and validated. Using simulation, we show the impact of changing batch size on bullwhip in a production control system. Our results show that a manager may achieve economies through batching while minimising the impact on bullwhip through the careful selection of the batch size.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Business (Including Economics) Centre for Advanced Manufacturing Systems At Cardiff (CAMSAC)
Uncontrolled Keywords:	Bullwhip; Batching; Supply chains
ISSN:	09255273
Last Modified:	17 Oct 2022 09:22
URI:	https://orca.cardiff.ac.uk/id/eprint/2891

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