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Newsvendor problem is an extensively researched topic in inventory management. In this class of inventory problems, shortage and excess costs are considered to be proportional to the quantity lost. But, for critical goods or commodities,…

Applications · Statistics 2020-07-09 Soham Ghosh , Mamta Sahare , 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 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

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

In this paper, we consider a static, multi-period newsvendor model under a budget constraint. In the case where the true demand distribution is known, we develop a heuristic algorithm to solve the problem. By comparing this algorithm with…

Optimization and Control · Mathematics 2023-12-04 Ben Black , Trivikram Dokka , Christopher Kirkbride

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

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

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

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the…

Optimization and Control · Mathematics 2015-09-22 Roberto Rossi , Brahim Hnich , S. Armagan Tarim , Steven Prestwich

We consider stochastic optimization under distributional uncertainty, where the unknown distributional parameter is estimated from streaming data that arrive sequentially over time. Moreover, data may depend on the decision of the time when…

Optimization and Control · Mathematics 2023-10-17 Tianyi Liu , Yifan Lin , Enlu Zhou

We develop a stochastic inventory system which accounts for the limited patience of backlogged customers. While limited patience is a feature that is closer to the nature of unmet demand, our model also unifies the classic backlogging and…

Optimization and Control · Mathematics 2024-04-02 Andrew E. B. Lim , Zhao-Xuan Wei , Hanqin Zhang

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

We consider inventory decisions with many items, each of which has Poisson demand. The rate of demand for individual items is estimated on the basis of observations of past demand. The problem is to determine the items to hold in stock and…

Methodology · Statistics 2025-08-06 Edward Anderson , Nam Ho-Nguyen , Peter Radchenko

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 problems with stochastic uncertainty information on intervals for which the precise value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find a correct solution to the problem in consideration…

Data Structures and Algorithms · Computer Science 2021-09-27 Steven Chaplick , Magnús M. Halldórsson , Murilo S. de Lima , Tigran Tonoyan

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

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

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 ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

We study the feature-based newsvendor problem, in which a decision-maker has access to historical data consisting of demand observations and exogenous features. In this setting, we investigate feature selection, aiming to derive sparse,…

Machine Learning · Computer Science 2022-09-13 Breno Serrano , Stefan Minner , Maximilian Schiffer , Thibaut Vidal
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