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In classical newsvendor model, piece-wise linear shortage and excess costs are balanced out to determine the optimal order quantity. However, for critical perishable commodities, severity of the costs may be much more than linear. In this…

Methodology · Statistics 2021-07-01 Soham Ghosh , Sujay Mukhoti

The newsvendor problem is one of the most basic and widely applied inventory models. There are numerous extensions of this problem. If the probability distribution of the demand is known, the problem can be solved analytically. However,…

Machine Learning · Computer Science 2018-03-07 Afshin Oroojlooyjadid , Lawrence Snyder , Martin Takáč

The newsvendor problem is a popular inventory management problem in supply chain management and logistics. Solutions to the newsvendor problem determine optimal inventory levels. This model is typically fully determined by a purchase and…

Applications · Statistics 2020-10-20 Sergey Tarima , Zhanna Zenkova

In retailer management, the Newsvendor problem has widely attracted attention as one of basic inventory models. In the traditional approach to solving this problem, it relies on the probability distribution of the demand. In theory, if the…

Machine Learning · Statistics 2017-06-12 Yanfei Zhang , Junbin Gao

Inventory control with unknown demand distribution is considered, with emphasis placed on the case involving discrete nonperishable items. We focus on an adaptive policy which in every period uses, as much as possible, the optimal…

Machine Learning · Statistics 2015-10-23 Michael N. Katehakis , Jian Yang , Tingting Zhou

Problem definition: We consider a newsvendor problem with unknown demand distribution, where we distinguish ambiguity under which the newsvendor does not differentiate demand distributions of common characteristics and misspecification…

Optimization and Control · Mathematics 2026-05-05 Feng Liu , Zhi Chen , Ruodu Wang , Shuming Wang

The classic newsvendor model yields an optimal decision for a ``newsvendor'' selecting a quantity of inventory, under the assumption that the demand is drawn from a known distribution. Motivated by applications such as cloud provisioning…

Optimization and Control · Mathematics 2025-02-21 Lin An , Andrew A. Li , Benjamin Moseley , R. Ravi

We introduce a novel strategy to address the issue of demand estimation in single-item single-period stochastic inventory optimisation problems. Our strategy analytically combines confidence interval analysis and inventory optimisation. We…

Optimization and Control · Mathematics 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim , Brahim Hnich

This paper studies the multi-item newsvendor problem with a constrained budget and information about demand limited to its range, mean and mean absolute deviation. We consider a minimax model that determines order quantities by minimizing…

Optimization and Control · Mathematics 2023-01-10 Guus Boonstra , Wouter J. E. C. van Eekelen , Johan S. H. van Leeuwaarden

The newsvendor model is a well-known stochastic model for inventory management; however, it was originally developed for a single-period context and focuses on trading companies. This paper proposes an extension of the newsvendor model into…

Optimization and Control · Mathematics 2026-02-13 Valentyn Khokhlov

This work addresses a key challenge in inventory management by developing a stochastic model that describes the dynamic distribution of inventory stock over time without assuming a specific demand distribution. Our model provides a flexible…

Applications · Statistics 2025-11-18 Pedro A. Pury

We consider a fundamental generalization of the classical newsvendor problem where the seller needs to decide on the inventory of a product jointly for multiple locations on a metric as well as a fulfillment policy to satisfy the uncertain…

Optimization and Control · Mathematics 2025-06-04 Ayoub Foussoul , Vineet Goyal

Demand forecasting plays an important role in many inventory control problems. To mitigate the potential harms of model misspecification, various forms of distributionally robust optimization have been applied. Although many of these…

Probability · Mathematics 2018-08-21 Linwei Xin , David A. Goldberg

We consider a repeated newsvendor problem where the inventory manager has no prior information about the demand, and can access only censored/sales data. In analogy to multi-armed bandit problems, the manager needs to simultaneously…

Machine Learning · Computer Science 2017-10-17 Gábor Lugosi , Mihalis G. Markakis , Gergely Neu

We study a censored variant of the data-driven newsvendor problem, where the decision-maker must select an ordering quantity that minimizes expected overage and underage costs based only on offline censored sales data, rather than…

Optimization and Control · Mathematics 2026-04-22 Chamsi Hssaine , Sean R. Sinclair

How should a risk-averse newsvendor order optimally under distributional ambiguity? Attempts to extend Scarf's celebrated distribution-free ordering rule using risk measures have led to conflicting prescriptions: CVaR-based models…

Optimization and Control · Mathematics 2025-07-16 Jonathan Yu-Meng Li , Tiantian Mao , Reza Valimoradi

The rapid expansion of digital commerce platforms has amplified the strategic importance of coordinated pricing and inventory management decisions among competing retailers. Motivated by practices on leading e-commerce platforms, we analyze…

General Economics · Economics 2025-12-02 Hang Wu , Qin Wu , Yue Liu , Mengmeng Shi

Since the seminal work of Scarf (1958) [A min-max solution of an inventory problem, Studies in the Mathematical Theory of Inventory and Production, pages 201-209] on the newsvendor problem with ambiguity in the demand distribution, there…

Statistics Theory · Mathematics 2019-08-20 Bikramjit Das , Anulekha Dhara , Karthik Natarajan

The global markets provide enterprises with selling opportunities and challenges in stabilizing operational strategies. From the perspective of production management, it is important to improve the profitability of an enterprise by…

Machine Learning · Computer Science 2022-07-28 Xiaoli Yan

In the Newsvendor problem, the goal is to guess the number that will be drawn from some distribution, with asymmetric consequences for guessing too high vs. too low. In the data-driven version, the distribution is unknown, and one must work…

Machine Learning · Statistics 2026-01-05 Zhuoxin Chen , Will Ma
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