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An exact analytical solution to the production inventory control problem

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  • Warburton, Roger D. H.

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  • Warburton, Roger D. H., 2004. "An exact analytical solution to the production inventory control problem," International Journal of Production Economics, Elsevier, vol. 92(1), pages 81-96, November.
    • Handle: RePEc:eee:proeco:v:92:y:2004:i:1:p:81-96
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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. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    3. Kahn, James A, 1987. "Inventories and the Volatility of Production," American Economic Review, American Economic Association, vol. 77(4), pages 667-679, September.
    4. Disney, S. M. & Naim, M. M. & Towill, D. R., 2000. "Genetic algorithm optimisation of a class of inventory control systems," International Journal of Production Economics, Elsevier, vol. 68(3), pages 259-278, December.
    5. 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.
    6. Herbert J. Vassian, 1955. "Application of Discrete Variable Servo Theory to Inventory Control," Operations Research, INFORMS, vol. 3(3), pages 272-282, August.
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    Cited by:

    1. Boute, Robert N. & Disney, Stephen M. & Lambrecht, Marc R. & Van Houdt, Benny, 2007. "An integrated production and inventory model to dampen upstream demand variability in the supply chain," European Journal of Operational Research, Elsevier, vol. 178(1), pages 121-142, April.
    2. 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.
    3. 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.
    4. A. Piunovskiy, 2009. "Random walk, birth-and-death process and their fluid approximations: absorbing case," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(2), pages 285-312, October.
    5. Koussaila Hamiche & Michel Fliess & Cédric Join & Hassane Abouaïssa, 2019. "Bullwhip effect attenuation in supply chain management via control-theoretic tools and short-term forecasts: A preliminary study with an application to perishable inventories," Post-Print hal-02050480, HAL.
    6. Beata Skowron-Grabowska & Marta Wincewicz-Bosy & Małgorzata Dymyt & Adam Sadowski & Tomasz Dymyt & Katarzyna Wąsowska, 2022. "Healthcare Supply Chain Reliability: The Case of Medical Air Transport," IJERPH, MDPI, vol. 19(7), pages 1-18, April.
    7. 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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