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Investigating limit cycles in nonlinear production and inventory control models

Spiegler, V.L.M., Naim, M.M., Towill, D.R. (2015) Investigating limit cycles in nonlinear production and inventory control models. In: International Conference on Operations Research (OR2015), 1-4 September 2015, Vienna, Austria. (Unpublished) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:57234)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
https://or2015.univie.ac.at/

Abstract

Even in a deterministic setting nonlinearities can yield unexpected dynamic behaviours in an inventory control system, such as rogue oscillations or limit cycles. Utilising a well-known benchmark nonlinear production and inventory control model, we investigate the occurrence of limit cycles.

Findings: Findings suggest that, even for an autonomous system, limit cycles occur. This periodic behaviour is observed in the inventory profile when the feedback gain of the WIP is half smaller than the lead-time. Moreover, we demonstrate the potential of the describing function method to accurately predict limit cycle properties.

Research limitations: This research is limited to the dynamics of a single-echelon supply chain system in a deterministic environment.

Practical implications: The method suggested in this research for analysing nonlinearities in a real-world setting can be used by supply chain designers to gain more insights into nonlinear systems and provide a mechanism to create a set of systematic experiments for simulation rather than relying on a time-consuming ‘trial and error’ approach.

Item Type: Conference or workshop item (Paper)
Uncontrolled keywords: •System Dynamics and Theory •Production and Inventory Systems •Supply Chain Management
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculties > Social Sciences > Kent Business School > Management Science
Faculties > Social Sciences > Kent Business School > Centre for Logistics and Heuristic Organisation (CLHO)
Depositing User: Virginia Spiegler
Date Deposited: 12 Sep 2016 14:33 UTC
Last Modified: 01 Aug 2019 10:40 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/57234 (The current URI for this page, for reference purposes)
Spiegler, V.L.M.: https://orcid.org/0000-0002-7130-3151
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