50 Int. J. Operational Research, Vol. 39, No. 1, 2020
Managing unreliability in automotive supply
networks – an extension of the joint economic lot
size model
Tim Gruchmann*
Centre for Sustainable Corporate Leadership,
Witten/Herdecke University,
Alfred-Herrhausen-Straße 50,
58448 Witten, Germany
Email: tim.gruchmann@uni-wh.de
*Corresponding author
Marcus Brandenburg
Flensburg University of Applied Sciences,
Kanzleistraße 91-93,
24943 Flensburg, Germany
Email: marcus.brandenburg@hs-flensburg.de
and
Chair of Supply Chain Management,
University of Kassel,
Kleine Rosenstraße 1-3, 34117 Kassel, Germany
Abstract: Within assembly network supply chains, supply disruptions can
occur on every supplier-buyer link. Managing this network unreliability can
help to reduce schedule instability and increases the overall efficiency of
the supply chain accordingly. In this line, a stylised assembly network
supply chain model is proposed with two suppliers and a single buyer
using the joint economic lot sizing approach. This supply network can be
disrupted by a shortage occurring at one of the two suppliers due to random
machine breakdowns, which consequently creates dependent requirements
variations affecting both the buyer and the entire network. First, the basic
joint economic lot sizing model is extended by the said schedule instability.
Second, a solution approach is presented concerning the determination of
optimal lot sizes, the investment into the reliability of the supply network
as well as the determination of safety stocks. Furthermore, the sensitivity of
relevant model parameters is investigated by means of a numerical example.
Managerial implications are accordingly derived focusing on the reliability of
the supply network members and internal incentive structures.
Keywords: schedule instability; automotive supply networks; joint economic
lot sizing; supply unreliability; safety stocks.
Reference to this paper should be made as follows: Gruchmann, T.
and Brandenburg, M. (2020) ‘Managing unreliability in automotive
supply networks – an extension of the joint economic lot size model’,
Int. J. Operational Research, Vol. 39, No. 1, pp.50–68.
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