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The Sum and Its Parts: Judgmental Hierarchical Forecasting

Author

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  • Mirko Kremer

    (Management Department, Frankfurt School of Finance and Management, 60314 Frankfurt am Main, Germany)

  • Enno Siemsen

    (Carlson School of Management, University of Minnesota, Minneapolis, Minnesota 55455; and Wisconsin School of Business, University of Wisconsin–Madison, Madison, Wisconsin 53706)

  • Douglas J. Thomas

    (Smeal College of Business, Penn State University, University Park, Pennsylvania 16802)

Abstract

Firms require demand forecasts at different levels of aggregation to support a variety of resource allocation decisions. For example, a retailer needs store-level forecasts to manage inventory at the store, but also requires a regionally aggregated forecast for managing inventory at a distribution center. In generating an aggregate forecast, a firm can choose to make the forecast directly based on the aggregated data or indirectly by summing lower-level forecasts (i.e., bottom up). Our study investigates the relative performance of such hierarchical forecasting processes through a behavioral lens. We identify two judgment biases that affect the relative performance of direct and indirect forecasting approaches: a propensity for random judgment errors and a failure to benefit from the informational value that is embedded in the correlation structure between lower-level demands. Based on these biases, we characterize demand environments where one hierarchical process results in more accurate forecasts than the other. This paper was accepted by Martin Lariviere, operations management .

Suggested Citation

  • Mirko Kremer & Enno Siemsen & Douglas J. Thomas, 2016. "The Sum and Its Parts: Judgmental Hierarchical Forecasting," Management Science, INFORMS, vol. 62(9), pages 2745-2764, September.
  • Handle: RePEc:inm:ormnsc:v:62:y:2016:i:9:p:2745-2764
    DOI: 10.1287/mnsc.2015.2259
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    3. Eksoz, Can & Mansouri, S. Afshin & Bourlakis, Michael & Önkal, Dilek, 2019. "Judgmental adjustments through supply integration for strategic partnerships in food chains," Omega, Elsevier, vol. 87(C), pages 20-33.
    4. Andrew M. Davis & Rihuan Huang & Douglas J. Thomas, 2022. "Retailer Inventory Sharing in Two-Tier Supply Chains: An Experimental Investigation," Management Science, INFORMS, vol. 68(12), pages 8773-8790, December.
    5. Karl Schuhmacher & Michael Burkert, 2022. "Time Is Relative: How Framing of Time Estimation Affects the Accuracy of Cost Information," Management Science, INFORMS, vol. 68(7), pages 5493-5513, July.
    6. Athanasopoulos, George & Hyndman, Rob J. & Kourentzes, Nikolaos & Panagiotelis, Anastasios, 2024. "Forecast reconciliation: A review," International Journal of Forecasting, Elsevier, vol. 40(2), pages 430-456.
    7. Leprince, Julien & Madsen, Henrik & Møller, Jan Kloppenborg & Zeiler, Wim, 2023. "Hierarchical learning, forecasting coherent spatio-temporal individual and aggregated building loads," Applied Energy, Elsevier, vol. 348(C).
    8. Daniel Feiler & Jordan Tong, 2022. "From Noise to Bias: Overconfidence in New Product Forecasting," Management Science, INFORMS, vol. 68(6), pages 4685-4702, June.
    9. Khosrowabadi, Naghmeh & Hoberg, Kai & Imdahl, Christina, 2022. "Evaluating human behaviour in response to AI recommendations for judgemental forecasting," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1151-1167.
    10. Robert J. Batt & Jordan D. Tong, 2020. "Mean Service Metrics: Biased Quality Judgment and the Customer–Server Quality Gap," Manufacturing & Service Operations Management, INFORMS, vol. 22(5), pages 975-995, September.
    11. Dai, Hongyan & Xiao, Qin & Chen, Songlin & Zhou, Weihua, 2023. "Data-driven demand forecast for O2O operations: An adaptive hierarchical incremental approach," International Journal of Production Economics, Elsevier, vol. 259(C).
    12. Yun Shin Lee & Enno Siemsen, 2017. "Task Decomposition and Newsvendor Decision Making," Management Science, INFORMS, vol. 63(10), pages 3226-3245, October.
    13. Fildes, Robert & Goodwin, Paul & Önkal, Dilek, 2019. "Use and misuse of information in supply chain forecasting of promotion effects," International Journal of Forecasting, Elsevier, vol. 35(1), pages 144-156.
    14. Souhaib Ben Taieb & James W. Taylor & Rob J. Hyndman, 2017. "Coherent Probabilistic Forecasts for Hierarchical Time Series," Monash Econometrics and Business Statistics Working Papers 3/17, Monash University, Department of Econometrics and Business Statistics.
    15. Tomokaze Shiratori & Ken Kobayashi & Yuichi Takano, 2020. "Prediction of hierarchical time series using structured regularization and its application to artificial neural networks," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-23, November.
    16. Nikolopoulos, Konstantinos, 2021. "We need to talk about intermittent demand forecasting," European Journal of Operational Research, Elsevier, vol. 291(2), pages 549-559.
    17. Hakeem‐Ur Rehman & Guohua Wan & Raza Rafique, 2023. "A hybrid approach with step‐size aggregation to forecasting hierarchical time series," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(1), pages 176-192, January.

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