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

John M. Andrews (), Vivek F. Farias (), Aryan I. Khojandi () and Chad M. Yan ()
Additional contact information
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

Interfaces, 2019, vol. 49, issue 5, 355-370

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.

Keywords: approximation algorithms; primal–dual algorithms; multinode fulfillment optimization; inventory management (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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