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Optimal control under uncertainty is a prevailing challenge for many reasons. One of the critical difficulties lies in producing tractable solutions for the underlying stochastic optimization problem. We show how advanced approximate…

机器学习 · 计算机科学 2024-10-28 Joe Watson , Hany Abdulsamad , Rolf Findeisen , Jan Peters

This study proposes an Ensemble Differential Evolution with Simula-tion-Based Hybridization and Self-Adaptation (EDESH-SA) approach for inven-tory management (IM) under uncertainty. In this study, DE with multiple runs is combined with a…

最优化与控制 · 数学 2023-10-16 Sarit Maitra , Vivek Mishra , Sukanya Kundu

We study the numerical solution of nonlinear partially observed optimal stopping problems. The system state is taken to be a multi-dimensional diffusion and drives the drift of the observation process, which is another multi-dimensional…

最优化与控制 · 数学 2010-01-20 Mike Ludkovski

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

统计计算 · 统计学 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

This paper shows a comprehensive analysis of three algorithms (Time Series, Random Forest (RF) and Deep Reinforcement Learning) into three inventory models (the Lost Sales, Dual-Sourcing and Multi-Echelon Inventory Model). These…

人工智能 · 计算机科学 2025-05-14 Lee Yeung Ping , Patrick Wong , Tan Cheng Han

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

机器学习 · 统计学 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

The Bayesian inversion method demonstrates significant potential for solving inverse problems, enabling both point estimation and uncertainty quantification (UQ). However, Bayesian maximum a posteriori (MAP) estimation may become unstable…

数值分析 · 数学 2025-06-04 Ruibiao Song , Liying Zhang

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

系统与控制 · 电气工程与系统科学 2021-08-24 Prakash Mallick , Zhiyong Chen

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

机器学习 · 计算机科学 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

In this paper, we consider an infinite horizon, continuous-review, stochastic inventory system in which cumulative customers' demand is price-dependent and is modeled as a Brownian motion. Excess demand is backlogged. The revenue is earned…

最优化与控制 · 数学 2018-07-12 Dacheng Yao

How to ensure accessibility to food and nutrition while food supply chains suffer from demand and supply uncertainties caused by disruptive forces such as the COVID-19 pandemic and natural disasters is an emerging and critical issue.…

综合经济学 · 经济学 2024-06-14 Mengfei Chen , Mohamed Kharbeche , Mohamed Haouari , Weihong "Grace" Guo

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

投资组合管理 · 定量金融 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

最优化与控制 · 数学 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

In this paper, we study the offline sequential feature-based pricing and inventory control problem where the current demand depends on the past demand levels and any demand exceeding the available inventory is lost. Our goal is to leverage…

机器学习 · 统计学 2026-03-12 Korel Gundem , Zhengling Qi

We consider the problem of estimating rare event probabilities, focusing on systems whose evolution is governed by differential equations with uncertain input parameters. If the system dynamics is expensive to compute, standard sampling…

统计计算 · 统计学 2019-11-05 Siddhant Wahal , George Biros

Portfolio optimization is a critical task in investment. Most existing portfolio optimization methods require information on the distribution of returns of the assets that make up the portfolio. However, such distribution information is…

计量经济学 · 经济学 2025-10-09 Masahiro Kato , Kentaro Baba , Hibiki Kaibuchi , Ryo Inokuchi

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

统计方法学 · 统计学 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

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…

最优化与控制 · 数学 2024-10-30 Menglei Jia , Albert H. Schrotenboer , Feng Chen

In this paper, we present a simple microeconomic model with linear continuous-time dynamics that describes a production-inventory system with debt repayment. This model is formulated in terms of optimal control and its exact solutions are…

最优化与控制 · 数学 2012-06-01 Ekaterina Tuchnolobova , Victor Terletskiy , Olga Vasilieva

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

定量方法 · 定量生物学 2010-01-20 Tina Toni , Michael P. H. Stumpf