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Note: The Newsvendor Model with Endogenous Demand
Abstract
This paper considers a firm's price and inventory policy when it faces uncertain demand that depends on both price and inventory level. The authors extend the classic newsvendor model by assuming that expected utility maximizing consumers choose between visiting the firm and consuming an exogenous outside option. The outside option represents the utility the consumer forgoes when she chooses to visit the firm before knowing whether or not the product will be available. The authors investigate both the case in which the firm's price is exogenous and the case in which price is chosen optimally. The paper makes two contributions. First, the authors show that the firm holds more inventories, provides a higher fill rate, attracts more customers, and earns higher profits when it internalizes the effect of its inventory on demand. Second, the authors show that in the endogenous price case the firm's two-dimensional decision problem can be reduced to two, sequential, single-variable optimizations. As a result, the endogenous-price case is as easy to solve as the exogenous-price case.
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The feature of approximating price response where demand rate also depends on inventory level is novel since most literature on inventory-dependent demand is for the single-period newsvendor.
“We believe this feature constitutes a novel feature of the model since most of the literature on inventory-dependent demand is for the single-period newsvendor (e.g., Dana and Petruzzi 2001).”
From Clearance Pricing Optimization for a Fast-Fashion Retailer (2012) · cites this paper as Dana and Petruzzi 2001
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Metadata
- Authors
- Dana, J. D., & Petruzzi, N. C.
- Affiliations
- Northwestern University (US)
- University of Illinois Urbana-Champaign (US)
- Venue
- Management Science
- Published
- 2001-11
- Volume
- 47
- Issue
- 11
- Pages
- 1488-1497
- ISSN
- 0025-1909 (ISSN-L)
- 1526-5501
- OpenAlex
- W2119350633
- Cited by
- 239
- References
- 35
- Citations by year
- 2026: 5 · 2025: 4 · 2024: 5 · 2023: 9 · 2022: 8 · 2021: 14 · 2020: 8 · 2019: 7 · 2018: 13 · 2017: 16 · 2016: 15 · 2015: 13 · 2014: 13 · 2013: 11 · 2012: 21
- FWCI
- 7.79
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Management Science (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Supply Chain and Inventory Management
- Social Sciences › Business, Management and Accounting › Marketing › Consumer Market Behavior and Pricing
- Social Sciences › Business, Management and Accounting › Strategy and Management › Sustainable Supply Chain Management
- Keywords
- newsvendor model, endogenous demand, inventory management, fill rate, expected utility, outside options, optimal pricing, sequential optimization, demand uncertainty, customer acquisition
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