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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

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

最优化与控制 · 数学 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

We study non-stationary single-item, periodic-review inventory control problems in which the demand distribution is unknown and may change over time. We analyze how demand non-stationarity affects learning performance across inventory…

最优化与控制 · 数学 2026-02-06 Nele H. Amiri , Sean R. Sinclair , Maximiliano Udenio

We consider a periodic review inventory control problem having an underlying modulation process that affects demand and that is partially observed by the uncensored demand process and a novel additional observation data (AOD) process. We…

最优化与控制 · 数学 2022-02-15 Satya S. Malladi , Alan L. Erera , Chelsea C. White

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

In this paper we consider a control problem for a Partially Observable Piecewise Deterministic Markov Process of the following type: After the jump of the process the controller receives a noisy signal about the state and the aim is to…

最优化与控制 · 数学 2021-07-21 Nicole Bäuerle , Dirk Lange

We study the problem of optimally managing an inventory with unknown demand trend. Our formulation leads to a stochastic control problem under partial observation, in which a Brownian motion with non-observable drift can be singularly…

最优化与控制 · 数学 2022-11-28 Salvatore Federico , Giorgio Ferrari , Neofytos Rodosthenous

We develop a stochastic inventory system which accounts for the limited patience of backlogged customers. While limited patience is a feature that is closer to the nature of unmet demand, our model also unifies the classic backlogging and…

最优化与控制 · 数学 2024-04-02 Andrew E. B. Lim , Zhao-Xuan Wei , Hanqin Zhang

We consider a manufacturer who manages the end-of-life phase and takes one of the three actions at each period: (1) place an order, (2) use existing inventory, (3) stop holding inventory and use an outside/alternative source. Two examples…

最优化与控制 · 数学 2021-10-26 Emin Ozyoruk , Nesim K. Erkip , Çağın Ararat

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

机器学习 · 计算机科学 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

Starting from the Avellaneda-Stoikov framework, we consider a market maker who wants to optimally set bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders she receives depend not only on…

交易与市场微观结构 · 定量金融 2020-06-29 Diego Zabaljauregui , Luciano Campi

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…

最优化与控制 · 数学 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

We consider a class of sequential decision-making problems under uncertainty that can encompass various types of supervised learning concepts. These problems have a completely observed state process and a partially observed modulation…

最优化与控制 · 数学 2021-08-24 R. Reid Bishop , Chelsea C. White

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

交易与市场微观结构 · 定量金融 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

最优化与控制 · 数学 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

This paper introduces a new approach to solve sensor management problems. Classically sensor management problems can be well formalized as Partially-Observed Markov Decision Processes (POMPD). The original approach developped here consists…

机器学习 · 计算机科学 2009-03-20 Thomas Bréhard , Emmanuel Duflos , Philippe Vanheeghe , Pierre-Arnaud Coquelin

This study presents a comprehensive approach to optimizing inventory management under stochastic demand by leveraging Monte Carlo Simulation (MCS) with grid search and Bayesian optimization. By using a business case of historical demand…

最优化与控制 · 数学 2024-07-01 Sarit Maitra

In this article, we consider the deterministic impulsively controlled system with infinite horizon and several discounted objective functionals. The constructed optimal control problem with functional constraints is reformulated as a Markov…

最优化与控制 · 数学 2026-02-10 A. Piunovskiy

Motivated by wide-ranging applications such as video delivery over networks using Multiple Description Codes, congestion control, and inventory management, we study the state-tracking of a Markovian random process with a known transition…

信息论 · 计算机科学 2017-03-06 Parisa Mansourifard , Tara Javidi , Bhaskar Krishnamachari

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

系统与控制 · 计算机科学 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu
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