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We study risk-aware linear policy approximations for the optimal operation of an energy system with stochastic wind power, storage, and limited fuel. The resulting problem is a sequential decision-making problem with rolling forecasts. In…

系统与控制 · 电气工程与系统科学 2024-07-19 Thomas Mortimer , Robert Mieth

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

最优化与控制 · 数学 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

We study the problem of forecasting the number of units fulfilled (or ``drained'') from each inventory warehouse to meet customer demand, along with the associated outbound shipping costs. The actual drain and shipping costs are determined…

机器学习 · 计算机科学 2025-07-16 Riccardo Savorgnan , Udaya Ghai , Carson Eisenach , Dean Foster

A classical inventory problem is studied from the perspective of embedded options, reducing inventory-management to the design of optimal contracts for forward delivery of stock (commodity). Financial option techniques \`{a} la…

最优化与控制 · 数学 2019-04-10 Roy O. Davies , A. J. Ostaszewski

The (R, s, S) is a stochastic inventory control policy widely used by practitioners. In an inventory system managed according to this policy, the inventory is reviewed at instant R; if the observed inventory position is lower than the…

最优化与控制 · 数学 2023-09-26 Andrea Visentin , Steven Prestwich , Roberto Rossi , S. Armagan Tarim

In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

交易与市场微观结构 · 定量金融 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

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

We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

数理金融 · 定量金融 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

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

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

最优化与控制 · 数学 2024-01-04 Yuya Hikima , Akiko Takeda

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

交易与市场微观结构 · 定量金融 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

Rolling forecasts have been almost overlooked in the renewable energy storage literature. In this paper, we provide a new approach for handling uncertainty not just in the accuracy of a forecast, but in the evolution of forecasts over time.…

最优化与控制 · 数学 2022-04-18 Saeed Ghadimi , Warren B. Powell

We analyze an optimal trade execution problem in a financial market with stochastic liquidity. To this end we set up a limit order book model in continuous time. Both order book depth and resilience are allowed to evolve randomly in time.…

概率论 · 数学 2021-07-27 Julia Ackermann , Thomas Kruse , Mikhail Urusov

We consider the Windows Scheduling problem. The problem is a restricted version of Unit-Fractions Bin Packing, and it is also called Inventory Replenishment in the context of Supply Chain. In brief, the problem is to schedule the use of…

数据结构与算法 · 计算机科学 2014-04-07 Martin Farach-Colton , Katia Leal , Miguel A. Mosteiro , Christopher Thraves

We consider the coflow scheduling problem in the non-clairvoyant setting, assuming that flow sizes are realized on-line according to given probability distributions. The goal is to minimize the weighted average completion time of coflows in…

分布式、并行与集群计算 · 计算机科学 2026-01-06 Olivier Brun , Balakrishna J. Prabhu

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

最优化与控制 · 数学 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

We identify and analyze statistical regularities and irregularities in the recent order flow of different NASDAQ stocks, focusing on the positions where orders are placed in the orderbook. This includes limit orders being placed outside of…

交易与市场微观结构 · 定量金融 2017-11-22 Martin Theissen , Sebastian M. Krause , Thomas Guhr

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a functional central limit theorem for the joint dynamics of the bid and ask queues and show…

交易与市场微观结构 · 定量金融 2012-03-01 Rama Cont , Adrien De Larrard

This paper presents a methodology for strategic day-ahead planning that uses a combination of deep learning and optimization. A noise-driven recurrent neural network structure is proposed for forecasting electricity prices and local inflow…

最优化与控制 · 数学 2021-11-04 Martin Biel

We study a simple rate control scheme for a multiclass queuing network for which customers are partitioned into distinct flows that are queued separately at each station. The control scheme discards customers that arrive to the network…

概率论 · 数学 2013-07-16 John Musacchio , Jean Walrand