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Topics in Time Delay Systems pp 349–358Cite as

Inventory Dynamics Models of Supply Chains with Delays; System-Level Connection & Stability

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 388))

Summary

This paper surveys some deterministic continuous-time inventory dynamics of supply chains which inevitably function with delays due to the presence of manufacturing lead times, decision making, transportation and information flows. Availability of such models opens up new research directions where operations research and the field of time-delay systems can be merged primarily for characterizing inventory oscillations, developing new forecasting techniques and regulating inventories under uncertainties in consumers’ buying trends, stochastic nature of delays, market behavior and possible price competitions across enterprizes. This paper also offers one of the first connections between the disciplines via stability maps. We show how stability maps can prove to be useful in maintaining the stable nature of inventory oscillations. In a case study we demonstrate that the supply chain manager, by inspecting the stability maps, can be aware of which delay combinations in the supply chain may cause (un)desirable inventory behaviors.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, 02115

    Ismail Ilker Delice & Rifat Sipahi

Authors
  1. Ismail Ilker Delice
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  2. Rifat Sipahi
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Editor information

Editors and Affiliations

  1. Ecole Centrale de Nantes, Nantes, France

    Jean Jacques Loiseau

  2. Katholieke Universiteit, Leuven, Heverlee, Belgium

    Wim Michiels

  3. CNRSSupélec, Gif-sur-Yvette, France

    Silviu-Iulian Niculescu

  4. Northeastern University, Boston, MA, USA

    Rifat Sipahi

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© 2009 Springer-Verlag Berlin Heidelberg

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Delice, I.I., Sipahi, R. (2009). Inventory Dynamics Models of Supply Chains with Delays; System-Level Connection & Stability. In: Loiseau, J.J., Michiels, W., Niculescu, SI., Sipahi, R. (eds) Topics in Time Delay Systems. Lecture Notes in Control and Information Sciences, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02897-7_29

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  • DOI: https://doi.org/10.1007/978-3-642-02897-7_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02896-0

  • Online ISBN: 978-3-642-02897-7

  • eBook Packages: EngineeringEngineering (R0)

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