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Order and inventory variance amplification: The equivalence of discrete and continuous time analyses

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  • Warburton, R.D.H.
  • Disney, S.M.

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  • 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.
    • Handle: RePEc:eee:proeco:v:110:y:2007:i:1-2:p:128-137
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    References listed on IDEAS

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    1. 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.
    2. Disney, S. M. & Towill, D. R. & van de Velde, W., 2004. "Variance amplification and the golden ratio in production and inventory control," International Journal of Production Economics, Elsevier, vol. 90(3), pages 295-309, August.
    3. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 1997. "Information Distortion in a Supply Chain: The Bullwhip Effect," Management Science, INFORMS, vol. 43(4), pages 546-558, April.
    4. Disney, S. M. & Towill, D. R., 2003. "On the bullwhip and inventory variance produced by an ordering policy," Omega, Elsevier, vol. 31(3), pages 157-167, June.
    5. 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.
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    Cited by:

    1. 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.
    2. Adenso-Díaz, Belarmino & Moreno, Plácido & Gutiérrez, Ester & Lozano, Sebastián, 2012. "An analysis of the main factors affecting bullwhip in reverse supply chains," International Journal of Production Economics, Elsevier, vol. 135(2), pages 917-928.
    3. Lin, Junyi & Naim, Mohamed M. & Spiegler, Virginia L.M., 2020. "Delivery time dynamics in an assemble-to-order inventory and order based production control system," International Journal of Production Economics, Elsevier, vol. 223(C).
    4. Ciancimino, Elena & Cannella, Salvatore & Bruccoleri, Manfredi & Framinan, Jose M., 2012. "On the Bullwhip Avoidance Phase: The Synchronised Supply Chain," European Journal of Operational Research, Elsevier, vol. 221(1), pages 49-63.
    5. Udenio, Maximiliano & Vatamidou, Eleni & Fransoo, Jan C., 2023. "Exponential smoothing forecasts: Taming the Bullwhip Effect when demand is seasonal," Other publications TiSEM 8fca6329-83b9-4a49-a2aa-e, Tilburg University, School of Economics and Management.
    6. Disney, Stephen M. & Warburton, Roger D.H., 2012. "On the Lambert W function: Economic Order Quantity applications and pedagogical considerations," International Journal of Production Economics, Elsevier, vol. 140(2), pages 756-764.
    7. María Arquer & Borja Ponte & Raúl Pino, 2022. "Examining the balance between efficiency and resilience in closed-loop supply chains," 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. 30(4), pages 1307-1336, December.
    8. 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).
    9. 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.
    10. 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.
    11. Schwartz, Jay D. & Rivera, Daniel E., 2010. "A process control approach to tactical inventory management in production-inventory systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 111-124, May.
    12. 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.
    13. Noblesse, Ann M. & Boute, Robert N. & Lambrecht, Marc R. & Van Houdt, Benny, 2014. "Characterizing order processes of continuous review (s,S) and (r,nQ) policies," European Journal of Operational Research, Elsevier, vol. 236(2), pages 534-547.

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