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This tutorial describes recently developed general optimality conditions for Markov Decision Processes that have significant applications to inventory control. In particular, these conditions imply the validity of optimality equations and…

最优化与控制 · 数学 2016-06-06 Eugene A. Feinberg

This study introduces an optimal mechanism in a dynamic stochastic knapsack environment. The model features a single seller who has a fixed quantity of a perfectly divisible item. Impatient buyers with a piece-wise linear utility function…

计算机科学与博弈论 · 计算机科学 2024-02-23 Jihyeok Jung , Chan-Oi Song , Deok-Joo Lee , Kiho Yoon

For a long investment time horizon, it is preferable to rebalance the portfolio weights at intermediate times. This necessitates a multi-period market model in which portfolio optimization is usually done through dynamic programming.…

投资组合管理 · 定量金融 2024-05-29 Shubhangi Sikaria , Rituparna Sen , Neelesh S. Upadhye

This paper extends the single-item single-stocking location non-stationary stochastic inventory problem to relax the assumption of independent demand. We present a mathematical programming-based solution method that relaxes the assumption…

最优化与控制 · 数学 2023-09-26 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

As countries interact more and more, technology gains a decisive role in facilitating today's increased need for interconnection. At the same time, systems, becoming more advanced as technology progresses, feed each other and can produce…

系统与控制 · 电气工程与系统科学 2021-12-14 Evripidis P. Kechagias , Dimitrios M. Miloulis , Georgios Chatzistelios , Sotiris P. Gayialis , Georgios A. Papadopoulos

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

机器学习 · 计算机科学 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

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…

最优化与控制 · 数学 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim , Brahim Hnich

In this paper, we propose a novel approach to Bayesian experimental design for non-exchangeable data that formulates it as risk-sensitive policy optimization. We develop the Inside-Out SMC$^2$ algorithm, a nested sequential Monte Carlo…

机器学习 · 统计学 2024-05-30 Sahel Iqbal , Adrien Corenflos , Simo Särkkä , Hany Abdulsamad

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

最优化与控制 · 数学 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

We present a simulation-and-regression method for solving dynamic portfolio allocation problems in the presence of general transaction costs, liquidity costs and market impacts. This method extends the classical least squares Monte Carlo…

投资组合管理 · 定量金融 2019-06-05 Rongju Zhang , Nicolas Langrené , Yu Tian , Zili Zhu , Fima Klebaner , Kais Hamza

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

形式语言与自动机理论 · 计算机科学 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall

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…

机器学习 · 计算机科学 2022-11-30 Dhruv Madeka , Kari Torkkola , Carson Eisenach , Anna Luo , Dean P. Foster , Sham M. Kakade

Production logistics has an important role as a chain that connects the components of the production system. The most important goal of production logistics plans is to keep the flow of the production system well. However, compared to the…

When coping with the urgent challenge of locating and rescuing a deep-sea submersible in the event of communication or power failure, environmental uncertainty in the ocean can not be ignored. However, classic physical models are limited to…

计算工程、金融与科学 · 计算机科学 2025-05-06 Runhao Liu , Ziming Chen , Peng Zhang

Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in…

最优化与控制 · 数学 2015-09-23 Michael N. Katehakis , Benjamin Melamed , Jim Shi

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…

应用统计 · 统计学 2025-11-18 Pedro A. Pury

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

系统与控制 · 电气工程与系统科学 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

Motivated by a challenging problem in financial trading we are presented with a mixture of regressions with variable selection problem. In this regard, one is faced with data which possess outliers, skewness and, simultaneously, due to the…

应用统计 · 统计学 2012-05-23 Alberto Cozzini , Ajay Jasra , Giovanni Montana

Resilient supply chains are critical, especially for Original Equipment Manufacturers (OEMs) that power today's digital economy. Safety Stock dimensioning-the computation of the appropriate safety stock quantity-is one of several mechanisms…

应用统计 · 统计学 2025-11-07 Elvis Agbenyega , Cody Quick

We propose a formulation of the stochastic cutting stock problem as a discounted infinite-horizon Markov decision process. At each decision epoch, given current inventory of items, an agent chooses in which patterns to cut objects in stock…

最优化与控制 · 数学 2022-06-29 Anselmo R. Pitombeira-Neto , Arthur H. Fonseca Murta