On the afternoon of July 10, 2025, Professor Nikolaos Limnios, Distinguished French National Professor at the Université de Technologie de Compiègne (UTC), was invited by the School of Management to deliver an academic lecture at Lecture Hall 214, Chang’an Campus, School of Management, Northwestern Polytechnical University. The lecture, entitled Asymptotic Approximation Techniques for the Reliability of Complex Systems, was the 19th session of the 2025 Overseas Lecture Series of the School of Management. It was chaired by Associate Professor Wu Bei of the School of Management, and some faculty members and postgraduate students of the school attended the event.

In his lecture, Professor Limnios explored in depth asymptotic approximation techniques for the reliability of complex systems. He pointed out that in the dependent studies of reliability, availability, maintainability and safety, complex systems often have an enormous number of states, ranging from thousands to millions or even more, making it crucial to develop effective approximation methods. Professor Limnios elaborated on approximation algorithms based on minimal sets and asymptotic spectral methods, and discussed their applications in series system schemes and continuously degradable systems in detail. He noted that the minimal set approximation method can effectively simplify the reliability evaluation process of complex systems by identifying the key components of a system, while the asymptotic spectral method, by using the properties of stochastic processes, provides a powerful tool for the quantitative analysis of system performance.
During the interactive session, the participating teachers and students held a heated discussion with Professor Limnios on the technical details, practical applications and future research directions in the reliability analysis of complex systems. This lecture brought new perspectives and inspiration to the faculty and students of the School of Management in the research field of complex system reliability.
(Written by Long Zhengsi / Reviewed by Shao Jing, Zhang Shuang)
About the Speaker
Nikolaos Limnios is a Distinguished French National Professor and former Director of the Institute of Applied Mathematics at the Université de Technologie de Compiègne. In 2018, he was awarded the Ordre des Palmes académiques, the highest honor in the French academic and educational sectors, in recognition of his outstanding contributions to the development and dissemination of French culture, education and art worldwide.
Professor Limnios has devoted more than 40 years to the field of probability and statistics, and has made important contributions to the fundamental theories of stochastic processes such as branching processes and semi-Markov processes, as well as their statistical estimation. He has actively applied these theories to a wide range of fields including seismology, biology, finance and insurance, and quality assessment, demonstrating the extensive practical value of his theoretical achievements.
He has achieved remarkable results in academic publications, research projects, academic influence and industry-academia cooperation: he has published more than ten monographs and over 300 academic papers; he serves as Associate Editor and Editorial Board Member of several prestigious SCI journals in probability and statistics, including Communications in Statistics: Theory and Methods, Communications in Statistics: Simulation and Computation and Methodology and Computing in Applied Probability; his total citations exceed 6,200, with an H-index of 34.