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The multivariate bullwhip effect

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  • Nagaraja, Chaitra H.
  • McElroy, Tucker

Abstract

A multivariate bullwhip expression for m products with an order-up-to inventory policy is developed. The demand models under consideration are differenced stationary vector time series with a Wold representation for which general forecasting formulas are available, resulting in a large class of possible models (including nonstationary ones). Examples are provided for common demand models and implemented on sales data. It is found that the multivariate approach gives rise to mechanisms for understanding and reducing the bullwhip effect through horizontal information sharing, particularly for the nonstationary demand case. In the stationary setting, a more nuanced approach to bullwhip reduction can be achieved by managing the relationship between cross-correlations and lead-times. A method of determining whether a multivariate or univariate approach generates a lower bullwhip effect is proposed.

Suggested Citation

  • Nagaraja, Chaitra H. & McElroy, Tucker, 2018. "The multivariate bullwhip effect," European Journal of Operational Research, Elsevier, vol. 267(1), pages 96-106.
    • Handle: RePEc:eee:ejores:v:267:y:2018:i:1:p:96-106
    DOI: 10.1016/j.ejor.2017.11.015
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    1. Guido Voigt & Karl Inderfurth, 2012. "Supply chain coordination with information sharing in the presence of trust and trustworthiness," IISE Transactions, Taylor & Francis Journals, vol. 44(8), pages 637-654.
    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. Zhang, Xiaolong, 2004. "The impact of forecasting methods on the bullwhip effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 15-27, March.
    4. Li Chen & Wei Luo & Kevin Shang, 2017. "Measuring the Bullwhip Effect: Discrepancy and Alignment Between Information and Material Flows," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 36-51, February.
    5. Kenneth Gilbert, 2005. "An ARIMA Supply Chain Model," Management Science, INFORMS, vol. 51(2), pages 305-310, February.
    6. R.N. Boute & J. Dejonckheere & S.M. Disney & W. Van De Velde, 2012. "Bullwhip in a Multi-Product Production Setting," Review of Business and Economic Literature, Intersentia, vol. 57(3), pages 354-381, September.
    7. Guangwen Kong & Sampath Rajagopalan & Hao Zhang, 2013. "Revenue Sharing and Information Leakage in a Supply Chain," Management Science, INFORMS, vol. 59(3), pages 556-572, November.
    8. Disney, Stephen M. & Maltz, Arnold & Wang, Xun & Warburton, Roger D.H., 2016. "Inventory management for stochastic lead times with order crossovers," European Journal of Operational Research, Elsevier, vol. 248(2), pages 473-486.
    9. Li Chen & Hau L. Lee, 2009. "Information Sharing and Order Variability Control Under a Generalized Demand Model," Management Science, INFORMS, vol. 55(5), pages 781-797, May.
    10. repec:sen:journl:v:57:i:3:y:2012:p:27 is not listed on IDEAS
    11. Luong, Huynh Trung, 2007. "Measure of bullwhip effect in supply chains with autoregressive demand process," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1086-1097, August.
    12. Zhang, Xiaolong & Burke, Gerard J., 2011. "Analysis of compound bullwhip effect causes," European Journal of Operational Research, Elsevier, vol. 210(3), pages 514-526, May.
    13. 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.
    14. Stephen C. Graves, 1999. "A Single-Item Inventory Model for a Nonstationary Demand Process," Manufacturing & Service Operations Management, INFORMS, vol. 1(1), pages 50-61.
    15. 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.
    16. Wang, Xun & Disney, Stephen M., 2016. "The bullwhip effect: Progress, trends and directions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 691-701.
    17. Jin Kyung Kwak & Srinagesh Gavirneni, 2015. "Impact of information errors on supply chain performance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(2), pages 288-298, February.
    18. Li Chen & Wei Luo & Kevin Shang, 2017. "Measuring the Bullwhip Effect: Discrepancy and Alignment Between Information and Material Flows," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 36-51, February.
    19. Chen, Argon & Blue, Jakey, 2010. "Performance analysis of demand planning approaches for aggregating, forecasting and disaggregating interrelated demands," International Journal of Production Economics, Elsevier, vol. 128(2), pages 586-602, December.
    20. Nagaraja, C.H. & Thavaneswaran, A. & Appadoo, S.S., 2015. "Measuring the bullwhip effect for supply chains with seasonal demand components," European Journal of Operational Research, Elsevier, vol. 242(2), pages 445-454.
    21. Robert L. Bray & Haim Mendelson, 2015. "Production Smoothing and the Bullwhip Effect," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 208-220, May.
    22. Luong, Huynh Trung & Phien, Nguyen Huu, 2007. "Measure of bullwhip effect in supply chains: The case of high order autoregressive demand process," European Journal of Operational Research, Elsevier, vol. 183(1), pages 197-209, November.
    23. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    24. Stephen C. Graves, 1999. "Addendum to "A Single-Item Inventory Model for a Nonstationary Demand Process"," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 174-174.
    25. repec:sen:rebelj:v:57:i:3:y:2012:p:27 is not listed on IDEAS
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