Neuts

Neuts is a surname. In mathematics and operations research, it is associated most prominently with Marcel J. Neuts, a Belgian-born American mathematician who pioneered matrix-analytic methods for stochastic processes and queueing theory. Neuts developed matrix-geometric approaches for solving Markov chains with block-structured state spaces, providing practical techniques for analyzing complex systems. His work helped establish methods for quasi-birth-death processes and other structured Markov chains, enabling efficient computation of equilibrium distributions for models that arise in telecommunications, manufacturing, and service systems. Neuts' methods unified several disparate techniques under the umbrella of matrix-analytic methods and influenced a generation of researchers in applied probability and operations research. Among his notable publications is Matrix-Geometric Solutions in Stochastic Models, a foundational text that outlines these approaches and their computational implementations. The term matrix-analytic methods is often associated with his name due to the breadth of his contributions. The surname Neuts thus appears in scholarly literature related to stochastic modeling, queueing theory, and the numerical analysis of Markov processes.