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The success of any business depends on how well it is able to satisfy customer demand, while remaining financially viable. Globalisation and the growth of e-commerce have resulted in retail businesses having to manage increasing numbers of…

Optimization and Control · Mathematics 2022-07-29 Hans Jurie Zietsman , Jan Harm van Vuuren

Fashion discounters face the problem of ordering the right amount of pieces in each size of a product. The product is ordered in pre-packs containing a certain size-mix of a product. For this so-called lot-type design problem, a stochastic…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Tobias Kreisel , Sascha Kurz , Jörg Rambau

This paper addresses the problem of managing perishable inventory under multiple sources of uncertainty, including stochastic demand, unreliable supplier fulfillment, and probabilistic product shelf life. We develop a discrete-event…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Leonardo Kanashiro Felizardo , Edoardo Fadda , Mariá Cristina Vasconcelos Nascimento

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

Optimization and Control · Mathematics 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

This study investigates large language model (LLM) -based multi-agent systems (MASs) as a promising approach to inventory management, which is a key component of supply chain management. Although these systems have gained considerable…

Multiagent Systems · Computer Science 2026-02-06 Konosuke Yoshizato , Kazuma Shimizu , Ryota Higa , Takanobu Otsuka

Order picking is the single most cost-intensive activity in picker-to-parts warehouses, and as such has garnered large interest from the scientific community which led to multiple problem formulations and a plethora of algorithms published.…

Optimization and Control · Mathematics 2025-06-26 Giorgio Abelli , Maximilian Katzmann , Imran Khan , Olaf Maurer , Julius Pätzold , Paweł Pszona , Jan-David Salchow

Supply Chain Management requires addressing a variety of complex decision-making challenges, from sourcing strategies to planning and execution. Over the last few decades, advances in computation and information technologies have enabled…

Artificial Intelligence · Computer Science 2025-07-30 David Simchi-Levi , Konstantina Mellou , Ishai Menache , Jeevan Pathuri

We consider a warehouse in which dozens of mobile robots and human pickers work together to collect and deliver items within the warehouse. The fundamental problem we tackle, called the order-picking problem, is how these worker agents must…

Since its inception in the mid-60s, the inventory staggering problem has been explored and exploited in a wide range of application domains, such as production planning, stock control systems, warehousing, and aerospace/defense logistics.…

Data Structures and Algorithms · Computer Science 2025-06-13 Noga Alon , Danny Segev

We introduce a combinatorial optimization-enriched machine learning pipeline and a novel learning paradigm to solve inventory routing problems with stochastic demand and dynamic inventory updates. After each inventory update, our approach…

Optimization and Control · Mathematics 2024-02-08 Toni Greif , Louis Bouvier , Christoph M. Flath , Axel Parmentier , Sonja U. K. Rohmer , Thibaut Vidal

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

We study the warehouse problem, arising in the area of inventory management and production planning. Here, a merchant wants to decide an optimal trading policy that computes quantities of a single commodity to purchase, store and sell…

Data Structures and Algorithms · Computer Science 2024-01-22 Ishan Bansal , Oktay Günlük

We study inventory control policies for pharmaceutical supply chains, addressing challenges such as perishability, yield uncertainty, and non-stationary demand, combined with batching constraints, lead times, and lost sales. Collaborating…

Artificial Intelligence · Computer Science 2025-01-22 Francesco Stranieri , Chaaben Kouki , Willem van Jaarsveld , Fabio Stella

Reinforcement learning (RL) has shown promise in solving various combinatorial optimization problems. However, conventional RL faces challenges when dealing with complex, real-world constraints, especially when action space feasibility is…

Machine Learning · Computer Science 2025-08-12 Jaike van Twiller , Yossiri Adulyasak , Erick Delage , Djordje Grbic , Rune Møller Jensen

From cutting costs to improving customer experience, forecasting is the crux of retail supply chain management (SCM) and the key to better supply chain performance. Several retailers are using AI/ML models to gather datasets and provide…

Machine Learning · Computer Science 2021-04-30 Shaun D'Souza

The continuous-review (s,S) inventory model is a cornerstone of stochastic inventory theory, yet its analysis becomes analytically intractable when dealing with non-Markovian systems. In such systems, evaluating long-run performance…

Machine Learning · Computer Science 2026-01-21 Eliran Sherzer , Yonit Barron

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

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

We study the problem of forecasting the number of units fulfilled (or ``drained'') from each inventory warehouse to meet customer demand, along with the associated outbound shipping costs. The actual drain and shipping costs are determined…

Machine Learning · Computer Science 2025-07-16 Riccardo Savorgnan , Udaya Ghai , Carson Eisenach , Dean Foster

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf