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Primal–Dual Algorithms for Order Fulfillment at Urban Outfitters, Inc

Author

Listed:
  • John M. Andrews

    (Celect, Inc., Boston, Massachusetts 02110;)

  • Vivek F. Farias

    (Celect, Inc., Boston, Massachusetts 02110; MIT, Cambridge, Massachusetts 02139;)

  • Aryan I. Khojandi

    (Celect, Inc., Boston, Massachusetts 02110;)

  • Chad M. Yan

    (Celect, Inc., Boston, Massachusetts 02110)

Abstract

We formulate the omni-channel fulfillment problem as an online optimization problem. We propose a novel algorithm for this problem based on the primal–dual schema. Our algorithm is robust: It does not require explicit demand forecasts. This is an important practical advantage in the apparel-retail setting, where demand is volatile and unpredictable. We provide a performance analysis establishing that our algorithm admits optimal performance guarantees in the face of adversarial demand. We describe a large-scale implementation of our algorithm at Urban Outfitters, Inc. This implementation processes on average 18,000 customer orders a day and as many as 100,000 orders on peak demand days. The system has resulted in substantial savings relative to an incumbent industry-standard fulfillment optimization implementation through optimal order-fulfillment decisions that simultaneously increase turn and lower shipping costs.

Suggested Citation

  • John M. Andrews & Vivek F. Farias & Aryan I. Khojandi & Chad M. Yan, 2019. "Primal–Dual Algorithms for Order Fulfillment at Urban Outfitters, Inc," Interfaces, INFORMS, vol. 49(5), pages 355-370, September.
  • Handle: RePEc:inm:orinte:v:49:y:2019:i:5:p:355-370
    DOI: 10.1287/inte.2019.1013
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    References listed on IDEAS

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