[BOG][B] Control techniques for complex networks

S Meyn - 2008 - books.google.com
Power grids, flexible manufacturing, cellular communications: interconnectedness has
consequences. This remarkable book gives the tools and philosophy you need to build …

[BOG][B] Queues and Lévy fluctuation theory

K Dębicki, M Mandjes - 2015 - Springer
After having worked in the domain of Gaussian queues for about a decade, we got the idea
to look at similar problems, but now in the context of Lévy-driven queues. That step felt as …

Stochastic resource allocation and delay analysis for mobile edge computing systems

Y Wang, W Wang, VKN Lau, T Nakachi… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
To alleviate the local computation demands from the ever-increasing computation-intensive
mobile applications, Mobile Edge Computing (MEC) has proved promising. Especially, by …

[HTML][HTML] Occupation densities in solving exit problems for Markov additive processes and their reflections

J Ivanovs, Z Palmowski - Stochastic Processes and their Applications, 2012 - Elsevier
This paper solves exit problems for spectrally negative Markov additive processes and their
reflections. So-called scale matrix, which is a generalization of the scale function of a …

[HTML][HTML] The Skorokhod problem in a time-dependent interval

K Burdzy, W Kang, K Ramanan - Stochastic processes and their …, 2009 - Elsevier
We consider the Skorokhod problem in a time-varying interval. We prove existence and
uniqueness of the solution. We also express the solution in terms of an explicit formula …

Reflected Schrödinger bridge: Density control with path constraints

KF Caluya, A Halder - 2021 American Control Conference …, 2021 - ieeexplore.ieee.org
How to steer a given joint state probability density function to another over finite horizon
subject to a controlled stochastic dynamics with hard state (sample path) constraints? In …

Asymptotically optimal admission control of a queue with impatient customers

AR Ward, S Kumar - Mathematics of Operations Research, 2008 - pubsonline.informs.org
We consider a GI/GI/1 queue with impatient customers in heavy traffic. We use the solution of
an approximating singular diffusion control problem to construct an admission control policy …

Heavy traffic analysis for EDF queues with reneging

Ł Kruk, J Lehoczky, K Ramanan, S Shreve - 2011 - projecteuclid.org
This paper presents a heavy-traffic analysis of the behavior of a single-server queue under
an Earliest-Deadline-First (EDF) scheduling policy in which customers have deadlines and …

[HTML][HTML] Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic

AP Ghosh, AP Weerasinghe - Stochastic Processes and Their Applications, 2010 - Elsevier
We address a rate control problem associated with a single server Markovian queueing
system with customer abandonment in heavy traffic. The controller can choose a buffer size …

Asset pricing with general transaction costs: Theory and numerics

L Gonon, J Muhle‐Karbe, X Shi - Mathematical Finance, 2021 - Wiley Online Library
We study risk‐sharing equilibria with general convex costs on the agents' trading rates. For
an infinite‐horizon model with linear state dynamics and exogenous volatilities, we prove …