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Model Predictive Control (MPC) is well understood in the deterministic setting, yet rigorous stability and performance guarantees for stochastic MPC remain limited to the consideration of terminal constraints and penalties. In contrast,…

Optimization and Control · Mathematics 2025-10-24 Jonas Schießl , Hannah Selder , Ruchuan Ou , Michael Heinrich Baumann , Timm Faulwasser , Lars Grüne

The reliable power system operation is a major goal for electric utilities, which requires the accurate reliability forecasting to minimize the duration of power interruptions. Since weather conditions are usually the leading causes for…

Applications · Statistics 2018-10-12 Longfei Wei , Arif I. Sarwat

We consider the problem of an aggregator attempting to learn customers' load flexibility models while implementing a load shaping program by means of broadcasting daily dispatch signals. We adopt a multi-armed bandit formulation to account…

Systems and Control · Electrical Eng. & Systems 2020-06-19 Nathaniel Tucker , Ahmadreza Moradipari , Mahnoosh Alizadeh

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

We build on theoretical results from the mechanism design literature to analyze empirical models of second-degree price discrimination (2PD). We show that for a random-coefficients discrete choice ("BLP") model to be suitable for studying…

General Economics · Economics 2025-10-03 Soheil Ghili , K. Sudhir , Nitish Jain , Ankur Garg

This paper studies the scheduling of a large population of non-preemptive flexible electric loads, each of which has a flexible starting time but once started will follow a fixed load shape until completion. We first formulate the…

Optimization and Control · Mathematics 2025-03-10 Mehdi Davoudi , Mingyu Chen , Junjie Qin

We study how delegating pricing to large language models (LLMs) can facilitate collusion in a duopoly when both sellers rely on the same pre-trained model. The LLM is characterized by (i) a propensity parameter capturing its internal bias…

Theoretical Economics · Economics 2026-03-24 Shengyu Cao , Ming Hu

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

Optimization and Control · Mathematics 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

Fluctuations in electricity tariffs induced by the sporadic nature of demand loads on power grids has initiated immense efforts to find optimal scheduling solutions for charging and discharging plug-in electric vehicles (PEVs) subject to…

Systems and Control · Computer Science 2020-04-28 Abbas Mehrabi , Aresh Dadlani , Seungpil Moon , Kiseon Kim

A power market with non-convexities may not have an equilibrium price for power that provides economic stability of the centralized dispatch outcome. In this case, the market players are entitled to receive the uplift payments that…

Optimization and Control · Mathematics 2020-07-03 Vadim Borokhov

Recent technology advances have enabled firms to flexibly process and analyze sophisticated employee performance data at a reduced and yet significant cost. We develop a theory of optimal incentive contracting where the monitoring…

Theoretical Economics · Economics 2019-11-22 Anqi Li , Ming Yang

We consider a high-dimensional dynamic pricing problem under non-stationarity, where a firm sells products to $T$ sequentially arriving consumers that behave according to an unknown demand model with potential changes at unknown times. The…

Methodology · Statistics 2023-03-21 Zifeng Zhao , Feiyu Jiang , Yi Yu , Xi Chen

On-demand mobility sharing, provided by one or several transportation network companies (TNCs), is realized by real-time optimization algorithms to connect trips among tens of thousands of drivers and fellow passengers. In a market of…

Social and Information Networks · Computer Science 2022-04-06 Hongmou Zhang , Xiaotong Guo , Jinhua Zhao

Utilities use demand response to shift or reduce electricity usage of flexible loads, to better match electricity demand to power generation. A common mechanism is peak pricing (PP), where consumers pay reduced (increased) prices for…

Optimization and Control · Mathematics 2017-10-02 John Audie Cabrera , Yonatan Mintz , Jhoanna Rhodette Pedrasa , Anil Aswani

The cost of the power distribution infrastructures is driven by the peak power encountered in the system. Therefore, the distribution network operators consider billing consumers behind a common transformer in the function of their peak…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Wenqi Cai , Hossein N. Esfahani , Arash B. Kordabad , Sébastien Gros

We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes in the market. Instead of the usual purely deterministic trend we introduce a non-stationary…

Applications · Statistics 2012-01-06 Fred Espen Benth , Claudia Klüppelberg , Gernot Müller , Linda Vos

Informal and privatized transit services, such as minibuses and shared auto-rickshaws, are integral to daily travel in large urban metropolises, providing affordable commutes where a formal public transport system is inadequate and other…

Computer Science and Game Theory · Computer Science 2026-03-10 Devansh Jalota , Matthew Tsao

We investigate the problem of serving deferrable and nondeferrable electric demands with colocated stochastic supply and grid-imported electricity. Deferrable demands arrive randomly and can be delayed within their service deadlines.…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Minjae Jeon , Lang Tong , Qing Zhao

Regulators and utilities have been exploring hourly retail electricity pricing, with several existing programs providing day-ahead hourly pricing schedules. At the same time, customers are deploying distributed energy resources and smart…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Phillippe K. Phanivong , Duncan S. Callaway

The largescale penetration of variable renewable energy (VRE) and their generation uncertainties poses a major challenge for the distribution system operator (DSO) to efficiently determine the day-ahead real and reactive power distribution…

Systems and Control · Computer Science 2019-04-22 M. Nazif Faqiry , Lawryn Edmonds , Hongyu Wu