Publication Type

Journal Article

Version

acceptedVersion

Publication Date

7-2024

Abstract

Problem definition: We consider an online retailer selling multiple products to different zones over a finite horizon with multiple periods. At the start of the horizon, the retailer orders the products from a single supplier and stores them at multiple warehouses. The retailer determines the products’ order quantities and their storage quantities at each warehouse subject to its capacity constraint. At the end of each period, after random demands in the period are realized, the retailer chooses the retrieval quantities from each warehouse to fulfill the demands of each zone. The objective is to maximize the retailer’s expected profit over the finite horizon. Methodology/results: For the single-zone case, we show that the multi-period problem is equivalent to a single-period problem and the optimal retrieval decisions follow a greedy policy that retrieves products from the lowest-cost warehouse. We design a non-greedy algorithm to find the optimal storage policy, which preserves a nested property: Among all non-empty warehouses, a smaller-index warehouse contains all the products stored in a larger-index warehouse. We also analytically characterize the optimal ordering policy. The multi-zone case is unfortunately intractable analytically and we propose an efficient heuristic to solve it, which involves a non-trivial hybrid of three approximations. This hybrid heuristic outperforms two conventional benchmarks by up to 22.5% and 3.5% in our numerical experiments with various horizon lengths, fulfillment frequencies, warehouse capacities, demand variations, and demand correlations.

Keywords

online seasonal sales, product ordering, inventory allocation, order fulfillment, multiple periods

Discipline

Business | E-Commerce | Operations and Supply Chain Management

Research Areas

Operations Management

Areas of Excellence

Sustainability

Publication

Manufacturing & Service Operations Management

First Page

1

Last Page

48

ISSN

1523-4614

Identifier

10.1287/msom.2021.0394

Publisher

Institute for Operations Research and Management Sciences

Copyright Owner and License

Authors

Additional URL

https://doi.org/10.1287/msom.2021.0394

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