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On stabilizing volatile product returns

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  • Nowak, Thomas
  • Hofer, Vera

Abstract

As input flows of secondary raw materials show high volatility and tend to behave in a chaotic way, the identification of the main drivers of the dynamic behavior of returns plays a crucial role. Based on a stylized production-recycling system consisting of a set of nonlinear difference equations, we explicitly derive parameter constellations where the system will or will not converge to its equilibrium. Using a constant elasticity of substitution production function, the model is then extended to enable coverage of real world situations. Using waste paper as a reference raw material, we empirically estimate the parameters of the system. By using these regression results, we are able to show that the equilibrium solution is a Lyapunov unstable saddle point. This implies that the system is sensitive on initial conditions that will hence impede the predictability of product returns. Small variations of production input proportions could however stabilize the whole system.

Suggested Citation

  • Nowak, Thomas & Hofer, Vera, 2014. "On stabilizing volatile product returns," European Journal of Operational Research, Elsevier, vol. 234(3), pages 701-708.
    • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:701-708
    DOI: 10.1016/j.ejor.2013.11.039
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    1. McCarthy, Patrick & Lei Lei, 2010. "Regional demands for pulp and paper products," Journal of Forest Economics, Elsevier, vol. 16(2), pages 127-144, April.
    2. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 2004. "Comments on "Information Distortion in a Supply Chain: The Bullwhip Effect"," Management Science, INFORMS, vol. 50(12_supple), pages 1887-1893, December.
    3. Hau L. Lee & V. Padmanabhan & Seungjin Whang, 2004. "Information Distortion in a Supply Chain: The Bullwhip Effect," Management Science, INFORMS, vol. 50(12_supple), pages 1875-1886, December.
    4. Chatfield, Dean C. & Pritchard, Alan M., 2013. "Returns and the bullwhip effect," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 159-175.
    5. Riggle, Charlene & Madey, Gregory, 1997. "An analysis of the impact of chaotic dynamics on management information flow models," European Journal of Operational Research, Elsevier, vol. 103(1), pages 242-254, November.
    6. 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.
    7. Arne Henningsen & Géraldine Henningsen, 2011. "Econometric Estimation of the “Constant Elasticity of Substitution" Function in R: Package micEconCES," IFRO Working Paper 2011/9, University of Copenhagen, Department of Food and Resource Economics.
    8. Ketzenberg, Michael, 2009. "The value of information in a capacitated closed loop supply chain," European Journal of Operational Research, Elsevier, vol. 198(2), pages 491-503, October.
    9. Toktay, B. & van der Laan, E.A. & de Brito, M.P., 2003. "Managing Product Returns: The Role of Forecasting," ERIM Report Series Research in Management ERS-2003-023-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    10. Hwarng, H. Brian & Xie, Na, 2008. "Understanding supply chain dynamics: A chaos perspective," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1163-1178, February.
    11. Pearce, David & Grace, Richard, 1976. "Stabilising secondary materials markets," Resources Policy, Elsevier, vol. 2(2), pages 118-127, June.
    12. Larsen, Erik R. & Morecroft, John D. W. & Thomsen, Jesper S., 1999. "Complex behaviour in a production-distribution model," European Journal of Operational Research, Elsevier, vol. 119(1), pages 61-74, November.
    13. de Brito, Marisa P. & van der Laan, Erwin A., 2009. "Inventory control with product returns: The impact of imperfect information," European Journal of Operational Research, Elsevier, vol. 194(1), pages 85-101, April.
    14. Li, Haizheng & Luo, Jifeng, 2008. "Industry consolidation and price in the US linerboard industry," Journal of Forest Economics, Elsevier, vol. 14(2), pages 93-115, April.
    15. Bloemhof-Ruwaard, J.M. & van Nunen, J.A.E.E., 2005. "Integration of Environmental Management and SCM," ERIM Report Series Research in Management ERS-2005-030-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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