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In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

最优化与控制 · 数学 2018-07-19 Yingdong Lu

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

系统与控制 · 电气工程与系统科学 2025-01-20 Chung-Han Hsieh

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

最优化与控制 · 数学 2018-04-25 Tonghoon Suk , Xinchang Wang

In this paper, we study a controllable tandem queueing system consisting of two nodes and a controller, in which customers arrive according to a Poisson process and must receive service at both nodes before leaving the system. A decision…

概率论 · 数学 2015-04-07 Liu Zaiming , Chen Gang , Wu Jinbiao

Inventory management problems with periodic and controllable resets occur in the context of managing water storage in the developing world and retailing limited-time availability products. In this paper, we consider a set of sequential…

最优化与控制 · 数学 2022-09-09 Yoon Lee , Yonatan Mintz , Anil Aswani , Zuo-Jun Max Shen , Cong Yang

Motivated by real-world applications such as rental and cloud computing services, we investigate pricing for reusable resources. We consider a system where a single resource with a fixed number of identical copies serves customers with…

最优化与控制 · 数学 2025-06-24 Santiago R. Balseiro , Will Ma , Wenxin Zhang

We consider a general class of dynamic resource allocation problems within a stochastic optimal control framework. This class of problems arises in a wide variety of applications, each of which intrinsically involves resources of different…

最优化与控制 · 数学 2018-01-08 Xuefeng Gao , Yingdong Lu , Mayank Sharma , Mark S. Squillante , Joost W. Bosman

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

最优化与控制 · 数学 2023-05-15 Hui Xiao , Zhihong Wei

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

We study the design of optimal allocation mechanisms in an environment where agents and goods arrive stochastically. Agents have private types that determine the principal payoff. Either agents or goods can be held in a queue at a flow cost…

理论经济学 · 经济学 2026-02-05 Zihao Li , Xuandong Chen

This paper presents a general class of dynamic stochastic optimization problems we refer to as Stochastic Depletion Problems. A number of challenging dynamic optimization problems of practical interest are stochastic depletion problems.…

最优化与控制 · 数学 2008-01-25 Carri W. Chan , Vivek F. Farias

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

投资组合管理 · 定量金融 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

In this paper, we propose a novel dynamic decision method by applying the sensitivity-based optimization theory to find the optimal energy-efficient policy of a data center with two groups of heterogeneous servers. Servers in Group 1 always…

最优化与控制 · 数学 2018-08-27 Jing-Yu Ma , Li Xia , Quan-Lin Li

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specifically, there are two disjoint sets of demand and supply types, and a reward associated with…

最优化与控制 · 数学 2018-11-20 Ming Hu , Yun Zhou

We study a mathematical model motivated by the support/resistance line method in technical analysis where the underlying stock price transitions between three states of nature in a path-dependent manner. For optimal stopping problems with…

交易与市场微观结构 · 定量金融 2025-04-15 Vicky Henderson , Saul Jacka , Ruiqi Liu , Jun Maeda

We propose a data-driven Neural Network (NN) optimization framework to determine the optimal multi-period dynamic asset allocation strategy for outperforming a general stochastic target. We formulate the problem as an optimal stochastic…

计算金融 · 定量金融 2020-06-30 Chendi Ni , Yuying Li , Peter Forsyth , Ray Carroll

In this work, we investigate the optimal dynamic packet scheduling policy in a wireless relay network (WRN). We model this network by two sets of parallel queues, that represent the subscriber stations (SS) and the relay stations (RS), with…

网络与互联网体系结构 · 计算机科学 2011-04-19 Hussein Al-Zubaidy , Changcheng Huang , James Yan

We consider a general queueing system with price-sensitive customers in which the service provider seeks to balance two objectives, maximizing the average revenue rate and minimizing the average queue length. Customers arrive according to a…

数据结构与算法 · 计算机科学 2025-12-09 Jacob Bergquist , Adam N. Elmachtoub

We address a dynamic pricing problem for airlines aiming to maximize expected revenue from selling cargo space on a single-leg flight. The cargo shipments' weight and volume are uncertain and their precise values remain unavailable at the…

最优化与控制 · 数学 2024-04-09 Chengyu Du , Fang He , Xi Lin

We propose and solve a stochastic dynamic programming (DP) problem addressing the optimal provision of regulation service reserves (RSR) by controlling dynamic demand preferences in smart buildings. A major contribution over past dynamic…

系统与控制 · 计算机科学 2017-07-26 Bowen Zhang , Michael C. Caramanis , John Baillieul
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