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On the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains

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  • Disney, Stephen M.
  • Towill, Denis R.
  • Warburton, Roger D.H.

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  • Disney, Stephen M. & Towill, Denis R. & Warburton, Roger D.H., 2006. "On the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains," International Journal of Production Economics, Elsevier, vol. 101(1), pages 194-208, May.
    • Handle: RePEc:eee:proeco:v:101:y:2006:i:1:p:194-208
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    References listed on IDEAS

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    1. Dejonckheere, J. & Disney, S. M. & Lambrecht, M. R. & Towill, D. R., 2003. "Measuring and avoiding the bullwhip effect: A control theoretic approach," European Journal of Operational Research, Elsevier, vol. 147(3), pages 567-590, June.
    2. Bonney, Maurice & Popplewell, Keith & Matoug, Mahmoud, 1994. "Effect of errors and delays in inventory reporting on production system performance," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 93-105, June.
    3. John D. Sterman, 1989. "Modeling Managerial Behavior: Misperceptions of Feedback in a Dynamic Decision Making Experiment," Management Science, INFORMS, vol. 35(3), pages 321-339, March.
    4. Herbert J. Vassian, 1955. "Application of Discrete Variable Servo Theory to Inventory Control," Operations Research, INFORMS, vol. 3(3), pages 272-282, August.
    5. Sterman, John D., 1989. "Misperceptions of feedback in dynamic decision making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 43(3), pages 301-335, June.
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    Cited by:

    1. Lin, Junyi & Huang, Hongfu & Li, Shanshan & Naim, Mohamed M., 2023. "On the dynamics of order pipeline inventory in a nonlinear order-up-to system," International Journal of Production Economics, Elsevier, vol. 266(C).
    2. Dmitry Ivanov & Boris Sokolov & Joachim Kaeschel, 2011. "Integrated supply chain planning based on a combined application of operations research and optimal control," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 299-317, September.
    3. Sipahi, Rifat & Delice, Ismail Ilker, 2010. "Stability of inventory dynamics in supply chains with three delays," International Journal of Production Economics, Elsevier, vol. 123(1), pages 107-117, January.
    4. Warburton, R.D.H. & Disney, S.M., 2007. "Order and inventory variance amplification: The equivalence of discrete and continuous time analyses," International Journal of Production Economics, Elsevier, vol. 110(1-2), pages 128-137, October.
    5. Yang, Y. & Lin, J. & Hedenstierna, C.P.T. & Zhou, L., 2023. "The more the better? The impact of the number and location of product recovery options on the system dynamics in a closed-loop supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    6. Lin, J. & Naim, M.M. & Purvis, L. & Gosling, J., 2017. "The extension and exploitation of the inventory and order based production control system archetype from 1982 to 2015," International Journal of Production Economics, Elsevier, vol. 194(C), pages 135-152.
    7. V.L.M. Spiegler & A.T. Potter & M.M. Naim & D.R. Towill, 2016. "The value of nonlinear control theory in investigating the underlying dynamics and resilience of a grocery supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 265-286, January.
    8. Erik Hofmann, 2017. "Big data and supply chain decisions: the impact of volume, variety and velocity properties on the bullwhip effect," International Journal of Production Research, Taylor & Francis Journals, vol. 55(17), pages 5108-5126, September.
    9. Yongchang Wei & Fangyu Chen & Feng Xiong, 2018. "Dynamic Complexities in a Supply Chain System with Lateral Transshipments," Complexity, Hindawi, vol. 2018, pages 1-15, June.
    10. Ivanov, Dmitry, 2010. "An optimal-control based integrated model of supply chain," Working Papers 816, Graduate School of Management, St. Petersburg State University.
    11. Warburton, Roger D.H. & Hodgson, J.P.E. & Nielsen, E.H., 2014. "Exact solutions to the supply chain equations for arbitrary, time-dependent demands," International Journal of Production Economics, Elsevier, vol. 151(C), pages 195-205.

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