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Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed…

Optimization and Control · Mathematics 2015-10-20 Apostolos N. Burnetas , Odysseas Kanavetas

We consider Assemble-to-Order (ATO) inventory systems with a general Bill of Materials and general deterministic lead times. Unsatisfied demands are always backlogged. We apply a four-step asymptotic framework to develop inventory policies…

Optimization and Control · Mathematics 2021-08-16 Martin I. Reiman , Haohua Wan , Qiong Wang

We study the classical single-item inventory system in which unsatisfied demands are backlogged. Replenishment lead times are random, independent identically distributed, causing orders to cross in time. We develop a new inventory policy to…

Probability · Mathematics 2021-02-02 Alexander Stolyar , Qiong Wang

We investigate the optimal pricing strategy in a service-providing framework, where customers can leave the system prior to service completion. In this setting, a price is quoted to an incoming customer based on the current number of…

Optimization and Control · Mathematics 2026-05-05 Jieqi Di , Sigrún Andradóttir , Hayriye Ayhan

We study how an e-commerce firm should make real-time fulfillment decisions in a two-layer distribution network when multi-item customer orders arrive sequentially and future demand is unknown. The central managerial tension is whether to…

Machine Learning · Computer Science 2026-05-26 Xi Chen , Yuze Chen , Ziyi Chen , Yuan Zhou

We consider a queueing system composed of a dispatcher that routes deterministically jobs to a set of non-observable queues working in parallel. In this setting, the fundamental problem is which policy should the dispatcher implement to…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Bruno Gaujal , Tommaso Nesti

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

Optimization and Control · Mathematics 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

High-tech systems are typically produced in two stages: 1) Production of components using specialized equipment and staff; 2) System assembly/integration. Component production capacity is subject to fluctuations, causing a high risk of…

Probability · Mathematics 2024-04-18 Mirjam S. Meijer , Dennis Schol , Willem van Jaarsveld , Maria Vlasiou , Bert Zwart

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

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

Optimization and Control · Mathematics 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

We consider the dynamic inventory problem with non-stationary demands. It has long been known that non-stationary (s, S) policies are optimal for this problem. However, finding optimal policy parameters remains a computational challenge as…

Optimization and Control · Mathematics 2020-07-20 Onur A. Kilic , S. Armagan Tarim

We consider an outsourcing problem where a software agent procures multiple services from providers with uncertain reliabilities to complete a computational task before a strict deadline. The service consumer requires a procurement strategy…

Computer Science and Game Theory · Computer Science 2021-10-26 Farzaneh Farhadi , Maria Chli , Nicholas R. Jennings

This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

Optimization and Control · Mathematics 2021-08-13 Zhen Chen , Roberto Rossi

In recent decades, new methods and approaches have been developed for forecasting intermittent demand series. However, the majority of research has focused on point forecasting, with little exploration into probabilistic intermittent demand…

Applications · Statistics 2024-04-16 Shengjie Wang , Yanfei Kang , Fotios Petropoulos

This paper proposes a mathematical model for the design of a two-echelon supply chain where a set of suppliers serve a set of terminal facilities that receive uncertain customer demands. This model integrates a number of system decisions in…

Optimization and Control · Mathematics 2015-11-26 Jianxun Cui , Meng Zhao , Xiaopeng Li , Mohsen Parsafard , Shi An

We investigate the problem of serving deferrable and nondeferrable electric demands with colocated stochastic supply and grid-imported electricity. Deferrable demands arrive randomly and can be delayed within their service deadlines.…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Minjae Jeon , Lang Tong , Qing Zhao

We study the dynamic pooling of multiple orders into a single trip, a strategy widely adopted by online delivery platforms. When an order has to be dispatched, the platform must determine which (if any) of the available orders to pool it…

Data Structures and Algorithms · Computer Science 2026-01-13 Hongyao Ma , Will Ma , Matias Romero

Supply chain management is an integrated approach for planning and controlling materials, information, and finances as they move in a process which begins from suppliers and ends with customers in forward approach. As distribution network…

Optimization and Control · Mathematics 2021-10-22 Mohammad Najjartabar Bisheh , Hamid Davoudpour , G. Reza nasiri

We consider an NP-hard selective and periodic inventory routing problem (SPIRP) in a waste vegetable oil collection environment. This SPIRP arises in the context of reverse logistics where a biodiesel company has daily requirements of oil…

Optimization and Control · Mathematics 2021-02-22 Leopoldo E. Cárdenas-Barrón , Rafael A. Melo