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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 study a production-inventory system with two customer classes with different priorities which are admitted to the system following a flexible admission control scheme. The inventory management is according to a base stock policy and…

概率论 · 数学 2023-03-21 Sonja Otten , Hans Daduna

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

交易与市场微观结构 · 定量金融 2020-03-18 Xuefeng Gao , Yunhan Wang

Spin models of markets inspired by physics models of magnetism, as the Ising model, allow for the study of the collective dynamics of interacting agents in a market. The number of possible states has been mostly limited to two (buy or sell)…

物理与社会 · 物理学 2021-12-14 Stefan Bornholdt

This paper investigates dual sourcing problems with supply mode dependent failure rates, particularly relevant in managing spare parts for downtime-critical assets. To enhance resilience, businesses increasingly adopt dual sourcing…

机器学习 · 计算机科学 2025-04-14 Fabian Akkerman , Nils Knofius , Matthieu van der Heijden , Martijn Mes

We consider a continuous-review inventory system in which the setup cost of each order is a general function of the order quantity and the demand process is modeled as a Brownian motion with a positive drift. Assuming the holding and…

最优化与控制 · 数学 2020-09-03 Shuangchi He , Dacheng Yao , Hanqin Zhang

We study multi-product inventory control problems where a manager makes sequential replenishment decisions based on partial historical information in order to minimize its cumulative losses. Our motivation is to consider general demands,…

最优化与控制 · 数学 2026-02-27 Massil Hihat , Stéphane Gaïffas , Guillaume Garrigos , Simon Bussy

Living systems often function with regulatory interactions, but the question of how activity, stochasticity and regulations work together for achieving different goals still remains puzzling. We propose a stochastic model of an active…

软凝聚态物质 · 物理学 2026-03-02 Tai Han , Fanlong Meng

Data assimilation refers to the problem of finding trajectories of a prescribed dynamical model in such a way that the output of the model (usually some function of the model states) follows a given time series of observations. Typically…

大气与海洋物理 · 物理学 2015-05-30 Jochen Bröcker , Ivan G. Szendro

We address the problem of searching for a change point in an anomalous process among a finite set of M processes. Specifically, we address a composite hypothesis model in which each process generates measurements following a common…

机器学习 · 统计学 2024-12-30 Liad Lea Didi , Tomer Gafni , Kobi Cohen

We study the dynamics of the limit order book of liquid stocks after experiencing large intra-day price changes. In the data we find large variations in several microscopical measures, e.g., the volatility the bid-ask spread, the bid-ask…

交易与市场微观结构 · 定量金融 2009-10-26 Bence Toth , Janos Kertesz , J. Doyne Farmer

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

We consider a multi-retailer supply chain where each retailer can dynamically choose when to share information (e.g., local inventory levels or demand observations) with other retailers, incurring a communication cost for each sharing…

最优化与控制 · 数学 2025-07-15 Sagar Sudhakara , Yuchong Zhang

In this article, we consider a continuous review (s, S) inventory system with failures of demand fulfillment (service) modeled as a Markov-modulated retrial queueing system. The inventory system features a single product that experiences…

概率论 · 数学 2023-07-18 James Cordeiro , Ying-Ju Chen , Andres Larrain-Hubach , Mark Abramson

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

最优化与控制 · 数学 2018-03-01 Nyles Breecher , Richard Stockbridge

Despite recent developments in management theory, maintaining a manufacturing schedule remains difficult because of production delays and fluctuations in demand and supply of materials. The response of manufacturing systems to such…

物理与社会 · 物理学 2015-06-23 Takahiro Ezaki , Daichi Yanagisawa , Katsuhiro Nishinari

In chemical and manufacturing processes, unit failures due to equipment degradation can lead to process downtime and significant costs. In this context, finding an optimal maintenance strategy to ensure good unit health while avoiding…

最优化与控制 · 数学 2019-01-25 Johannes Wiebe , Inês Cecílio , Ruth Misener

As is well known, average-cost optimality inequalities imply the existence of stationary optimal policies for Markov Decision Processes with average costs per unit time, and these inequalities hold under broad natural conditions. This paper…

最优化与控制 · 数学 2016-10-04 Eugene A. Feinberg , Yan Liang

This article studies a hyperbolic conservation law that models a highly re-entrant manufacturing system as encountered in semi-conductor production. Characteristic features are the nonlocal character of the velocity and that the influx and…

最优化与控制 · 数学 2009-07-08 Jean-Michel Coron , Matthias kawski , Zhiqiang Wang

Forecasting and decision-making are generally modeled as two sequential steps with no feedback, following an open-loop approach. In this paper, we present application-driven learning, a new closed-loop framework in which the processes of…

最优化与控制 · 数学 2024-04-09 Joaquim Dias Garcia , Alexandre Street , Tito Homem-de-Mello , Francisco D. Muñoz