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Real-time dispatch practices for operating the electric grid in an economic and reliable manner are evolving to accommodate higher levels of renewable energy generation. In particular, stochastic optimization is receiving increased…

Optimization and Control · Mathematics 2018-06-28 Ryan N. King , Matthew Reynolds , Devon Sigler , Wesley Jones

High wind energy penetration critically challenges the economic dispatch of current and future power systems. Supply and demand must be balanced at every bus of the grid, while respecting transmission line ratings and accounting for the…

Optimization and Control · Mathematics 2013-05-28 Yu Zhang , Nikolaos Gatsis , Vassilis Kekatos , Georgios B. Giannakis

It is anticipated that large-scale energy storage facility (ESF) will become an essential part of the future energy markets to increase the penetration of renewables. In this paper, a new optimization algorithm is developed to participate…

Optimization and Control · Mathematics 2022-03-02 Farhad Samadi Gazijahani , Rasoul Esmaeilzadeh

This paper investigates the problems arising in the construction of a program to play the game of contract bridge. These problems include both the difficulty of solving the game's perfect information variant, and techniques needed to…

Artificial Intelligence · Computer Science 2011-06-06 M. L. Ginsberg

The supply of electrical energy is being increasingly sourced from renewable generation resources. The variability and uncertainty of renewable generation, compared to a dispatch-able plant, is a significant dissimilarity of concern to the…

Optimization and Control · Mathematics 2017-11-16 Farhad Samadi Gazijahani , Javad Salehi

This paper investigates the energy-efficient power allocation for a two-tier, underlaid femtocell network. The behaviors of the Macrocell Base Station (MBS) and the Femtocell Users (FUs) are modeled hierarchically as a Stackelberg game. The…

Networking and Internet Architecture · Computer Science 2016-11-15 Wenbo Wang , Andres Kwasinski , Zhu Han

High penetration of renewable energy source makes microgrid (MGs) be environment friendly. However, the stochastic input from renewable energy resource brings difficulty in balancing the energy supply and demand. Purchasing extra energy…

Systems and Control · Computer Science 2017-03-21 Zhenyu Qiao , Bo Yang , Qimin Xu , Fei Xiong , Cailian Chen , Xinping Guan , Bei Chen

In real time electricity markets, the objective of generation companies while bidding is to maximize their profit. The strategies for learning optimal bidding have been formulated through game theoretical approaches and stochastic…

Artificial Intelligence · Computer Science 2021-01-08 Jahnvi Patel , Devika Jay , Balaraman Ravindran , K. Shanti Swarup

Bid shading plays a crucial role in Real-Time Bidding (RTB) by adaptively adjusting the bid to avoid advertisers overspending. Existing mainstream two-stage methods, which first model bid landscapes and then optimize surplus using…

Computer Science and Game Theory · Computer Science 2026-04-30 Yinqiu Huang , Hao Ma , Wenshuai Chen , Zongwei Wang , Shuli Wang , Yongqiang Zhang , Xue Wei , Yinhua Zhu , Haitao Wang , Xingxing Wang

This paper investigates the price-based resource allocation strategies for the uplink transmission of a spectrum-sharing femtocell network, in which a central macrocell is underlaid with distributed femtocells, all operating over the same…

Information Theory · Computer Science 2015-03-19 Xin Kang , Rui Zhang , Mehul Motani

Battery powered transmitters face energy constraint, replenishing their energy by a renewable energy source (like solar or wind power) can lead to longer lifetime. We consider here the problem of finding the optimal power allocation under…

Systems and Control · Computer Science 2011-10-12 Abhinav Sinha , Prasanna Chaporkar

We consider robust Markov Decision Processes with Borel state and action spaces, unbounded cost and finite time horizon. Our formulation leads to a Stackelberg game against nature. Under integrability, continuity and compactness assumptions…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Alexander Glauner

Frequency non-selective time-selective multiple access channels in which transmitters can freely choose their power control policy are considered. The individual objective of the transmitters is to maximize their averaged energy-efficiency.…

Computer Science and Game Theory · Computer Science 2011-07-22 François Mériaux , Maël Le Treust , Samson Lasaulce , Michel Kieffer

This work is concerned with the application of game theoretic principles to model competition between demand response aggregators for selling excess energy stored in electrochemical storage devices directly to other aggregators in a power…

Systems and Control · Computer Science 2016-12-05 Mahdi Motalleb , Reza Ghorbani

We consider the task of generating draws from a Markov jump process (MJP) between two time-points at which the process is known. Resulting draws are typically termed bridges and the generation of such bridges plays a key role in…

Computation · Statistics 2019-01-31 Andrew Golightly , Chris Sherlock

The paper introduces a modified version of the classical Coupon Collector's Problem entailing exchanges and cooperation between multiple players. Results of the development show that, within a proper Markov framework, the complexity of the…

Discrete Mathematics · Computer Science 2009-12-15 R. Rovatti , C. Passerini , G. Mazzini

For spatial and network data, we consider models formed from a Markov random field (MRF) structure and the specification of a conditional distribution for each observation. Fast simulation from such MRF models is often an important…

Computation · Statistics 2019-11-18 Andee Kaplan , Mark S. Kaiser , Soumendra N. Lahiri , Daniel J. Nordman

The Gibbs sampler (a.k.a. Glauber dynamics and heat-bath algorithm) is a popular Markov Chain Monte Carlo algorithm which iteratively samples from the conditional distributions of a probability measure $\pi$ of interest. Under the…

Probability · Mathematics 2026-01-21 Filippo Ascolani , Hugo Lavenant , Giacomo Zanella

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

We analyze Bitcoin mining from the perspective of a game and propose an optimal mining model that maximizes profits of pools and miners. The model is a two-stage Stackelberg game in which each stage forms a sub-game. In stage I, pools are…

Computer Science and Game Theory · Computer Science 2021-07-22 David Lajeunesse , Hugo D. Scolnik