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In offline data-driven multi-objective optimization (MOO), optimization is performed using surrogate models trained only on an offline dataset. These surrogate models contain inherent errors and uncertainty. This epistemic uncertainty can…

Neural and Evolutionary Computing · Computer Science 2026-04-30 Huanbo Lyu , Miqing Li , Shiqiao Zhou , Daniel Herring , Jelena Ninic , Zheming Zuo , Lingfeng Wang , James Andrews , Fabian Spill , Shuo Wang

Ben-Tal and Teboulle \cite{BTT86} introduce the concept of optimized certainty equivalent (OCE) of an uncertain outcome as the maximum present value of a combination of the cash to be taken out from the uncertain income at present and the…

Optimization and Control · Mathematics 2022-03-22 Qiong Wu , Huifu Xu

Online caching is among the most fundamental and well-studied problems in the area of online algorithms. Innovative algorithmic ideas and analysis -- including potential functions and primal-dual techniques -- give insight into this…

Data Structures and Algorithms · Computer Science 2023-05-05 Sharat Ibrahimpur , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

This paper examines the value of storage in securing reliability of a system with uncertain supply and demand, and supply friction. The storage is frictionless as a supply source, but once used, it cannot be filled up instantaneously. The…

Optimization and Control · Mathematics 2011-09-30 Ali ParandehGheibi , Mardavij Roozbehani , Asuman Ozdaglar , Munther A Dahleh

The dynamic set cover problem has been subject to growing research attention in recent years. In this problem, we are given as input a dynamic universe of at most $n$ elements and a fixed collection of $m$ sets, where each element appears…

Data Structures and Algorithms · Computer Science 2024-07-10 Shay Solomon , Amitai Uzrad , Tianyi Zhang

I study the simplest model of revenue management with reusable resources: admission control of two customer classes into a loss queue. This model's long-run average collected reward has two natural upper bounds: the deterministic relaxation…

Theoretical Economics · Economics 2026-01-23 Robert L. Bray

We consider the optimal coverage problem where a multi-agent network is deployed in an environment with obstacles to maximize a joint event detection probability. The objective function of this problem is non-convex and no global optimum is…

Optimization and Control · Mathematics 2017-08-15 Xinmiao Sun , Christos G. Cassandras , Xiangyu Meng

This paper presents a dynamic pricing and energy management framework for electric vehicle (EV) charging service providers. To set the charging prices, the service providers faces three uncertainties: the volatility of wholesale electricity…

Signal Processing · Electrical Eng. & Systems 2018-01-10 Chao Luo , Yih-Fang Huang , Vijay Gupta

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

We consider the problem of online dynamic power management that provides hard real-time guarantees. In this problem, each of the given jobs is associated with an arrival time, a deadline, and an execution time, and the objective is to…

Data Structures and Algorithms · Computer Science 2013-04-09 Jian-Jia Chen , Mong-Jen Kao , D. T. Lee , Ignaz Rutter , Dorothea Wagner

We propose some machine-learning-based algorithms to solve hedging problems in incomplete markets. Sources of incompleteness cover illiquidity, untradable risk factors, discrete hedging dates and transaction costs. The proposed algorithms…

Risk Management · Quantitative Finance 2020-08-13 Simon Fécamp , Joseph Mikael , Xavier Warin

We consider a class of multi-stage robust covering problems, where additional information is revealed about the problem instance in each stage, but the cost of taking actions increases. The dilemma for the decision-maker is whether to wait…

Data Structures and Algorithms · Computer Science 2013-02-25 Anupam Gupta , Viswanath Nagarajan , Vijay V. Vazirani

In this work, we study the multi-agent decision problem where agents try to coordinate to optimize a given system-level objective. While solving for the global optimal is intractable in many cases, the greedy algorithm is a well-studied and…

Multiagent Systems · Computer Science 2022-12-01 Rohit Konda , David Grimsman , Jason Marden

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

Data Structures and Algorithms · Computer Science 2025-07-04 Jens Schlöter

Distribution networks are increasingly exposed to threats such as extreme weather, aging infrastructure, and cyber risks--resulting in more frequent contingencies and outages, a trend likely to persist. Microgrids, particularly dynamic…

Optimization and Control · Mathematics 2025-10-10 Hannah Moring , Bala Kameshwar Poolla , Harsha Nagarajan , Johanna L. Mathieu , Andrey Bernstein , David M. Fobes

We study the optimal control of storage which is used for both arbitrage and buffering against unexpected events, with particular applications to the control of energy systems in a stochastic and typically time-heterogeneous environment.…

Optimization and Control · Mathematics 2015-09-22 James Cruise , Stan Zachary

This letter introduces a method to manage energy storage in electricity grids. Starting from the stochastic characterization of electricity generation and demand, we propose an equation that relates the storage level for every time-step as…

Systems and Control · Computer Science 2016-12-05 Pedro H. J. Nardelli , Hirley Alves

This paper studies the problem of maximizing revenue from a grid-scale battery energy storage system, accounting for uncertain future electricity prices and the effect of degradation on battery lifetime. We formulate this task as an online…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Jack Umenberger , Anna Osguthorpe Rasmussen

Orthogonal greedy learning (OGL) is a stepwise learning scheme that adds a new atom from a dictionary via the steepest gradient descent and build the estimator via orthogonal projecting the target function to the space spanned by the…

Machine Learning · Computer Science 2014-11-14 Lin Xu , Shaobo Lin , Jinshan Zeng , Zongben Xu

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

Optimization and Control · Mathematics 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca
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