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We consider a natural dynamic staffing problem in which a decision-maker sequentially hires workers over a finite horizon to meet an unknown demand revealed at the end. Predictions about demand arrive over time and become increasingly…

数据结构与算法 · 计算机科学 2025-10-21 Yiding Feng , Vahideh Manshadi , Rad Niazadeh , Saba Neyshabouri

Most existing generation scheduling models for power systems under demand uncertainty rely on energy-based formulations with a finite number of time periods, which may fail to ensure that power supply and demand are balanced continuously…

最优化与控制 · 数学 2025-04-02 Youngchae Cho , Insoon Yang , Takayuki Ishizaki

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

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

最优化与控制 · 数学 2024-04-30 Marc Goerigk , Mohammad Khosravi

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

系统与控制 · 电气工程与系统科学 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

Standard Markovian optimal stopping problems are consistent in the sense that the first entrance time into the stopping set is optimal for each initial state of the process. Clearly, the usual concept of optimality cannot in a…

最优化与控制 · 数学 2018-12-05 Sören Christensen , Kristoffer Lindensjö

We consider the problem of repeatedly allocating multiple shareable public goods that have limited availability in an online setting without the use of money. In our setting, agents have additive values, and the value each agent receives…

计算机科学与博弈论 · 计算机科学 2025-11-10 Chido Onyeze , David X. Lin , Siddhartha Banerjee , Éva Tardos

We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed…

最优化与控制 · 数学 2015-10-20 Apostolos N. Burnetas , Odysseas Kanavetas

Motivated by recent progress on pricing in the AI literature, we study marketplaces that contain multiple vendors offering identical or similar products and unit-demand buyers with different valuations on these vendors. The objective of…

Problem definition: Traditional monopoly pricing assumes sellers have full information about consumer valuations. We consider monopoly pricing under limited information, where a seller only knows the mean, variance and support of the…

最优化与控制 · 数学 2026-03-30 Tim S. G. van Eck , Pieter Kleer , Johan S. H. van Leeuwaarden

In this study, we analyze and compare the performance of state-of-the-art deep reinforcement learning algorithms for solving the supply chain inventory management problem. This complex sequential decision-making problem consists of…

机器学习 · 计算机科学 2025-01-07 Francesco Stranieri , Fabio Stella

We consider decision-making problems under decision-dependent uncertainty (DDU), where the distribution of uncertain parameters depends on the decision variables and is only observable through a finite offline dataset. To address this…

最优化与控制 · 数学 2025-08-12 Chengrui Qu , Huiwen Jia , Pengcheng You

Facility location decisions significantly impact customer behavior and consequently the resulting demand in a wide range of businesses. Furthermore, sequentially realized uncertain demand enforces strategically determining locations under…

最优化与控制 · 数学 2020-01-08 Beste Basciftci , Shabbir Ahmed , Siqian Shen

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

最优化与控制 · 数学 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

This paper deals with numerical solutions to an impulse control problem arising from optimal portfolio liquidation with bid-ask spread and market price impact penalizing speedy execution trades. The corresponding dynamic programming (DP)…

计算金融 · 定量金融 2010-06-07 Fabien Guilbaud , Mohamed Mnif , Huyên Pham

We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending…

物理与社会 · 物理学 2022-11-15 Andrea Civilini , Vito Latora

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log…

投资组合管理 · 定量金融 2025-12-02 Yue Cao , Zongxia Liang , Sheng Wang , Xiang Yu

This paper establishes a new and comprehensive theoretical analysis for the application of reinforcement learning (RL) in high-frequency market making. We bridge the modern RL theory and the continuous-time statistical models in…

交易与市场微观结构 · 定量金融 2024-08-13 Yuheng Zheng , Zihan Ding