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A technique to develop simplified and linearised models of complex dynamic supply chain systems
Brunel University, England.
Cardiff University, Wales.
Cardiff University, Wales.
Linköping University, Department of Management and Engineering, Production Economics. Linköping University, Faculty of Science & Engineering.
2016 (English)In: European Journal of Operational Research, ISSN 0377-2217, E-ISSN 1872-6860, Vol. 251, no 3, 888-903 p.Article in journal (Refereed) PublishedText
Abstract [en]

There is a need to identify and categorise different types of nonlinearities that commonly appear in supply chain dynamics models, as well as establishing suitable methods for linearising and analysing each type of nonlinearity. In this paper simplification methods to reduce model complexity and to assist in gaining system dynamics insights are suggested. Hence, an outcome is the development of more accurate simplified linear representations of complex nonlinear supply chain models. We use the highly cited Forrester production-distribution model as a benchmark supply chain system to study nonlinear control structures and apply appropriate analytical control theory methods. We then compare performances of the linearised model with numerical solutions of the original nonlinear model and with other previous research on the same model. Findings suggest that more accurate linear approximations can be found. These simplified and linearised models enhance the understanding of the system dynamics and transient responses, especially for inventory and shipment responses. A systematic method is provided for the rigorous analysis and design of nonlinear supply chain dynamics models, especially when overly simplistic linear relationship assumptions are not possible or appropriate. This is a precursor to robust control system optimisation. (C) 2015 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2016. Vol. 251, no 3, 888-903 p.
Keyword [en]
System dynamics; Nonlinear control theory; The Forrester model; Manufacturing and shipment constraints
National Category
Economics and Business
Identifiers
URN: urn:nbn:se:liu:diva-126790DOI: 10.1016/j.ejor.2015.12.004ISI: 000371652000015OAI: oai:DiVA.org:liu-126790DiVA: diva2:917750
Available from: 2016-04-07 Created: 2016-04-05 Last updated: 2016-04-07

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Wikner, Joakim
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Production EconomicsFaculty of Science & Engineering
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