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Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis

Publication ,  Journal Article
Arlotto, A; Keskin, IN; Wei, Y
Published in: Operations Research
February 12, 2026

Studying How Inventory Placement Shapes Online Fulfillment PerformanceA growing share of e-commerce operations involves deciding not only how to fulfill incoming orders, but also where to position inventory beforehand. In “Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis,” Arlotto, Keskin, and Wei examine how these two decisions interact. The authors introduce a joint regret framework that evaluates the performance of a fulfillment policy together with the initial allocation of inventory across warehouses. Their analysis shows that probabilistic fulfillment inevitably accumulates regret that grows with the length of the planning horizon, regardless of how inventory is initially placed. By contrast, when combined with an appropriate offline inventory placement, the score-based approach achieves a regret bound that remains stable over time and scales only with the size of the system. The study offers insight into the role of initial placement in shaping fulfillment policy performance.

Duke Scholars

Published In

Operations Research

DOI

EISSN

1526-5463

ISSN

0030-364X

Publication Date

February 12, 2026

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Related Subject Headings

  • Operations Research
  • 3507 Strategy, management and organisational behaviour
 

Citation

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Arlotto, A., Keskin, I. N., & Wei, Y. (2026). Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis. Operations Research. https://doi.org/10.1287/opre.2024.0983
Arlotto, Alessandro, Irem Nur Keskin, and Yehua Wei. “Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis.” Operations Research, February 12, 2026. https://doi.org/10.1287/opre.2024.0983.
Arlotto A, Keskin IN, Wei Y. Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis. Operations Research. 2026 Feb 12;
Arlotto, Alessandro, et al. “Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis.” Operations Research, Institute for Operations Research and the Management Sciences (INFORMS), Feb. 2026. Crossref, doi:10.1287/opre.2024.0983.
Arlotto A, Keskin IN, Wei Y. Online Demand Fulfillment Problem with Initial Inventory Placement: A Regret Analysis. Operations Research. Institute for Operations Research and the Management Sciences (INFORMS); 2026 Feb 12;

Published In

Operations Research

DOI

EISSN

1526-5463

ISSN

0030-364X

Publication Date

February 12, 2026

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Related Subject Headings

  • Operations Research
  • 3507 Strategy, management and organisational behaviour