The evolution of the theory of non‐homogeneous Markov systems

PCG Vassiliou - Applied Stochastic Models and Data Analysis, 1997 - Wiley Online Library
A review of the evolution of the theory of non‐homogeneous Markov systems (NHMSs) is
given. It starts with the definition of the stochastic process NHMS, discusses the variability of …

Non-homogeneous Markov set systems

PCG Vassiliou - Mathematics, 2021 - mdpi.com
A more realistic way to describe a model is the use of intervals which contain the required
values of the parameters. In practice we estimate the parameters from a set of data and it is …

Optimizing cost-effectiveness in a stochastic Markov manpower planning system under control by recruitment

T De Feyter, MA Guerry, Komarudin - Annals of Operations Research, 2017 - Springer
The present paper proposes a mathematical model and algorithm for optimizing cost-
effectiveness in a stochastic manpower planning system under control by recruitment. More …

The perturbed non-homogeneous semi-Markov system

PCG Vassiliou, H Tsakiridou - Semi-Markov Models and Applications, 1999 - Springer
THE PERTURBED NON-HOMOGENEOUS SEMI-MARKOV SYSTEM Page 1 Chapter 16 THE
PERTURBED NON-HOMOGENEOUS SEMI-MARKOV SYSTEM Panagiotis CG Vassiliou …

[图书][B] Non-Homogeneous Markov Chains and Systems: Theory and Applications

PCG Vassiliou - 2022 - books.google.com
Non-Homogeneous Markov Chains and Systems: Theory and Applications fulfills two
principal goals. It is devoted to the study of non-homogeneous Markov chains in the first part …

Laws of Large numbers for non-homogeneous Markov systems

PCG Vassiliou - Methodology and Computing in Applied Probability, 2020 - Springer
In the present we establish Laws of Large Numbers for Non-Homogeneous Markov Systems
and Cyclic Non-homogeneous Markov systems. We start with a theorem, where we …

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

PCG Vassiliou - Mathematics, 2024 - mdpi.com
In the present, we study the problem of strong ergodicity in nonhomogeneous Markov
systems. In the first basic theorem, we relax the fundamental assumption present in all …

Ergodic behavior of a Markov chain model in a stochastic environment

N Tsantas - Mathematical methods of operations research, 2001 - Springer
This paper is concerned with the asymptotic behavior of a time dependent Markov model in
a stochastic environment, with special relevance to manpower systems. The stochastic …

Rate of convergence and periodicity of the expected population structure of Markov systems that live in a general state space

PCG Vassiliou - Mathematics, 2020 - mdpi.com
In this article we study the asymptotic behaviour of the expected population structure of a
Markov system that lives in a general state space (MSGS) and its rate of convergence. We …

[HTML][HTML] On the periodicity of non-homogeneous Markov chains and systems

PCG Vassiliou - Linear Algebra and its Applications, 2015 - Elsevier
We firstly recall the concept of an NHMS and introduce concepts and known results
necessary for the study of asymptotic periodicity of the vector of expectations, variances and …