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This work provides a Deep Reinforcement Learning approach to solving a periodic review inventory control system with stochastic vendor lead times, lost sales, correlated demand, and price matching. While this dynamic program has…

Machine Learning · Computer Science 2022-11-30 Dhruv Madeka , Kari Torkkola , Carson Eisenach , Anna Luo , Dean P. Foster , Sham M. Kakade

The real-time joint optimization of inventory replenishment and vehicle routing is essential for cost-efficiently operating one-warehouse, multiple-retailer systems. This is complex, as future demand predictions should capture correlation…

Optimization and Control · Mathematics 2024-10-30 Menglei Jia , Albert H. Schrotenboer , Feng Chen

The economic warehouse lot scheduling problem is a foundational inventory-theory model, capturing computational challenges in dynamically coordinating replenishment decisions for multiple commodities subject to a shared capacity constraint.…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

With information revolution, increased globalization and competition, supply chain has become longer and more complicated than ever before. These developments bring supply chain management to the forefront of the managements attention.…

Neural and Evolutionary Computing · Computer Science 2010-02-11 S. Narmadha , Dr. V. Selladurai , G. Sathish

We study the trade-off between envy and inefficiency in repeated resource allocation settings with stochastic replenishments, motivated by real-world systems such as food banks and medical supply chains. Specifically, we consider a model in…

Optimization and Control · Mathematics 2025-09-01 Chido Onyeze , Sean R. Sinclair , Chamsi Hssaine , Siddhartha Banerjee

It is common in inventory theory to consider policies that minimize the expected cost of ordering and holding goods or materials. Nevertheless, the realized cost is a random variable, and, as the Saint Petersburg Paradox reminds us, the…

Probability · Mathematics 2019-10-22 Alessandro Arlotto , J. Michael Steele

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

A data-based policy for iterative control task is presented. The proposed strategy is model-free and can be applied whenever safe input and state trajectories of a system performing an iterative task are available. These trajectories,…

Systems and Control · Computer Science 2019-03-22 Ugo Rosolia , Xiaojing Zhang , Francesco Borrelli

A well-know control policy in stochastic inventory control is the (R, s, S) policy, in which inventory is raised to an order-up-to-level S at a review instant R whenever it falls below reorder-level s. To date, little or no work has been…

Optimization and Control · Mathematics 2022-03-08 Andrea Visentin , Steven Prestwich , Roberto Rossi , S. Armagan Tarim

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

Inventory and queueing systems are often designed by controlling weighted combination of some time-averaged performance metrics (like cumulative holding, shortage, server-utilization or congestion costs); but real-world constraints, like…

Optimization and Control · Mathematics 2025-07-01 Madhu Dhiman , Veeraruna Kavitha , Nandyala Hemachandra

We consider an inventory system in which inventory level fluctuates as a Brownian motion in the absence of control. The inventory continuously accumulates cost at a rate that is a general convex function of the inventory level, which can be…

Optimization and Control · Mathematics 2014-01-21 Jim Dai , Dacheng Yao

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

Data Structures and Algorithms · Computer Science 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie

Competitive analysis of online algorithms has commonly been applied to understand the behaviour of real-time systems during overload conditions. While competitive analysis provides insight into the behaviour of certain algorithms, it is…

Performance · Computer Science 2018-06-06 Sathish Gopalakrishnan

The trade-off between the cost of acquiring and processing data, and uncertainty due to a lack of data is fundamental in machine learning. A basic instance of this trade-off is the problem of deciding when to make noisy and costly…

Machine Learning · Statistics 2017-03-30 Christopher R. Dance , Tomi Silander

We study the inbound supply mode and inventory management decision making for a company that sells an assortment of products. Stochastic demand for each product arrives periodically and unmet demand is backlogged. Each product has two…

Optimization and Control · Mathematics 2023-08-08 Melvin Drent , Poulad Moradi , Joachim Arts

Chance constrained stochastic model predictive controllers (CC-SMPC) trade off full constraint satisfaction for economical plant performance under uncertainty. Previous CC-SMPC works are over-conservative in constraint violations leading to…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Avik Ghosh , Cristian Cortes-Aguirre , Yi-An Chen , Adil Khurram , Jan Kleissl

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

Optimization and Control · Mathematics 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

Inventory management is considered to be an important field in Supply Chain Management because the cost of inventories in a supply chain accounts for about 30 percent of the value of the product. The service provided to the customer…

Neural and Evolutionary Computing · Computer Science 2010-02-11 S. Narmadha , Dr. V. Selladurai , G. Sathish

Rollout algorithms have demonstrated excellent performance on a variety of dynamic and discrete optimization problems. Interpreted as an approximate dynamic programming algorithm, a rollout algorithm estimates the value-to-go at each…

Data Structures and Algorithms · Computer Science 2013-11-27 Andrew Mastin , Patrick Jaillet