Algorithms in Stochastic Models

A special issue of Algorithms (ISSN 1999-4893).

Deadline for manuscript submissions: closed (31 August 2021) | Viewed by 11813

Special Issue Editors


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Guest Editor
Department of Electrical Engineering, South Dakota School of Mines and Technology, Rapid City, SD 57701, USA
Interests: optimal control; decision-making under uncertainty; predictive modeling; data analytics; and optimization in autonomous/semi-autonomous systems

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Guest Editor
Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, CO 80523-1373, USA
Interests: systems, control, and optimization; wireless networks and cellular systems; computer and communication networks; sensor networks; resource allocation and management; information theory; stochastic optimization and approximation; discrete event systems

Special Issue Information

Dear Colleagues,

Stochastic models are useful in many real-world scenarios to capture their inherent randomness. Examples of their applications include biological processes, financial markets, manufacturing processes, control systems, power grids, and weather prediction. As stochastic models often suffer from significant complexity, we are interested in algorithms to tackle computationally intensive challenges in stochastic models, including decision-making, control, signal processing, optimization, and resource allocation.

This will bring together algorithms, modeling, and numerical studies on algorithms in stochastic models in applications, including (but not limited to) intelligent transportation, smart and connected communities, sensing, smart grids, finance, and telecommunications.

Prof. Dr. Edwin K P Chong
Dr. Shankarachary Ragi
Guest Editors

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Keywords

  • Algorithms in stochastic models
  • Consensus algorithms
  • Optimization
  • Decision making under uncertainty
  • Game-theoretic approaches
  • Smart grids
  • Computer networks
  • Connected autonomous vehicles
  • Finance
  • Telecommunications

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Published Papers (2 papers)

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Research

30 pages, 326 KiB  
Article
Phase Congruential White Noise Generator
by Aleksei F. Deon, Oleg K. Karaduta and Yulian A. Menyaev
Algorithms 2021, 14(4), 118; https://doi.org/10.3390/a14040118 - 5 Apr 2021
Cited by 3 | Viewed by 6542
Abstract
White noise generators can use uniform random sequences as a basis. However, such a technology may lead to deficient results if the original sequences have insufficient uniformity or omissions of random variables. This article offers a new approach for creating a phase signal [...] Read more.
White noise generators can use uniform random sequences as a basis. However, such a technology may lead to deficient results if the original sequences have insufficient uniformity or omissions of random variables. This article offers a new approach for creating a phase signal generator with an improved matrix of autocorrelation coefficients. As a result, the generated signals of the white noise process have absolutely uniform intensities at the eigen Fourier frequencies. The simulation results confirm that the received signals have an adequate approximation of uniform white noise. Full article
(This article belongs to the Special Issue Algorithms in Stochastic Models)
12 pages, 393 KiB  
Article
UAV Formation Shape Control via Decentralized Markov Decision Processes
by Md Ali Azam, Hans D. Mittelmann and Shankarachary Ragi
Algorithms 2021, 14(3), 91; https://doi.org/10.3390/a14030091 - 17 Mar 2021
Cited by 21 | Viewed by 4256
Abstract
In this paper, we present a decentralized unmanned aerial vehicle (UAV) swarm formation control approach based on a decision theoretic approach. Specifically, we pose the UAV swarm motion control problem as a decentralized Markov decision process (Dec-MDP). Here, the goal is to drive [...] Read more.
In this paper, we present a decentralized unmanned aerial vehicle (UAV) swarm formation control approach based on a decision theoretic approach. Specifically, we pose the UAV swarm motion control problem as a decentralized Markov decision process (Dec-MDP). Here, the goal is to drive the UAV swarm from an initial geographical region to another geographical region where the swarm must form a three-dimensional shape (e.g., surface of a sphere). As most decision-theoretic formulations suffer from the curse of dimensionality, we adapt an existing fast approximate dynamic programming method called nominal belief-state optimization (NBO) to approximately solve the formation control problem. We perform numerical studies in MATLAB to validate the performance of the above control algorithms. Full article
(This article belongs to the Special Issue Algorithms in Stochastic Models)
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