2026 Peter Buchholz: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	33	3049	2723	186	170	167	4508

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3049

2723

186

170

167

4508

Overview

Peter Buchholz is affiliated with TU Dortmund University in Germany. Their research spans multiple fields, primarily focusing on Engineering, Computer Science, and Physics and Astronomy. The scientist's work is concentrated in subfields such as Management Information Systems, Management Science and Operations Research, Industrial and Manufacturing Engineering, Nuclear and High Energy Physics, and Computational Theory and Mathematics.

Their main research topics cover a range of advanced methodologies and applications, including:

Advanced Queuing Theory Analysis
Simulation Techniques and Applications
Scheduling and Optimization Algorithms
Petri Nets in System Modeling
Transportation Planning and Optimization
Probability and Risk Models
Astrophysics and Cosmic Phenomena

Peter Buchholz has contributed to several recent papers reflecting diverse research interests. Notable publications include:

"Reconstruction of events recorded with the surface detector of the Pierre Auger Observatory," 2020, published in Repository KITopen (Karlsruhe Institute of Technology)
"Breakthrough technologies and innovations along the mineral raw materials supply chain - towards a sustainable and secure supply," 2022, published in Mineral Economics
"Scheduling Algorithms for a Hybrid Flow Shop under Uncertainty," 2020, published in Algorithms
"Search for Ultra-high-energy Photons from Gravitational Wave Sources with the Pierre Auger Observatory," 2023, published in The Astrophysical Journal
"The XY Scanner - A Versatile Method of the Absolute End-to-End Calibration of Fluorescence Detectors," 2021, published in Proceedings of 37th International Cosmic Ray Conference - PoS(ICRC2021)

The scientist frequently collaborates with a group of peers who contribute to overlapping areas of study. Regular co-authors include:

Miklós Telek
M. Aglietta
I. Allekotte
Jaime Álvarez-Muñiz
Gioacchino Alex Anastasi

Publication venues that regularly feature the scientist's work include Repository KITopen (Karlsruhe Institute of Technology), Mineral Economics, Algorithms, The Astrophysical Journal, and Proceedings of 37th International Cosmic Ray Conference - PoS(ICRC2021).

Best Publications

Exact and ordinary lumpability in finite Markov chains

Peter Buchholz

463
Citations
A Novel Approach for Phase-Type Fitting with the EM Algorithm

A. Thummler;P. Buchholz;M. Telek

276
Citations
Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models

Peter Buchholz;Gianfranco Ciardo;Susanna Donatelli;Peter Kemper

202
Citations
Input Modeling with Phase-Type Distributions and Markov Models: Theory and Applications

Peter Buchholz;Jan Kriege;Iryna Felko

152
Citations
Input Modeling with Phase-Type Distributions and Markov Models

Peter Buchholz;Jan Kriege;Iryna Felko

138
Citations
Hierarchical Markovian models: symmetries and reduction

Peter Buchholz

131
Citations
Bisimulation relations for weighted automata

Peter Buchholz

128
Citations
Hierarchical structuring of superposed GSPNs

P. Buchholz

128
Citations
Structured analysis approaches for large Markov chains

Peter Buchholz

117
Citations
A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation

G. Horvath;P. Buchholz;M. Telek

110
Citations
An EM-Algorithm for MAP Fitting from Real Traffic Data

Peter Buchholz

108
Citations
A class of hierarchical queueing networks and their analysis

Peter Buchholz

106
Citations
Multi-class Markovian arrival processes and their parameter fitting

Peter Buchholz;Peter Kemper;Jan Kriege

82
Citations
Model-checking large structured Markov chains

Peter Buchholz;Joost-Pieter Katoen;Peter Kemper;Carsten Tepper

80
Citations
A novel approach for fitting probability distributions to real trace data with the EM algorithm

A. Thummler;P. Buchholz;M. Telek

79
Citations
Kronecker Based Matrix Representations for Large Markov Models

Peter Buchholz;Peter Kemper

78
Citations
QPN-Tool for the Specification ans Analysis of Hierarchically Combined Queueing Petri Nets

Falko Bause;Peter Buchholz;Peter Kemper

72
Citations
Equivalence Relations for Stochastic Automata Networks

Peter Buchholz

71
Citations
Analytical analysis of access-schemes of the CSMA type

P. Buchholz;J. Plonnigs

68
Citations
Exact performance equivalence: an equivalence relation for stochastic automata

Peter Buchholz

63
Citations

Frequent Co-Authors

William H. Sanders Carnegie Mellon University

Holger Hermanns Saarland University

Gianfranco Ciardo Iowa State University

Joost-Pieter Katoen RWTH Aachen University

Reinhard German University of Erlangen-Nuremberg

Mark S. Squillante IBM (United States)

External Links

Personal website of Peter Buchholz

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to various related online degrees and career pathways. For instance, those interested in leveraging mathematical skills in technology and business may consider pursuing an ms in data analytics. This degree combines statistical methods and programming, making it a popular choice for math graduates aiming for roles in data science and analytics.

For students seeking to apply their quantitative and leadership skills in the corporate world, exploring easiest mba program to get into options can provide a practical pathway. These programs offer business education with manageable admission requirements, ideal for professionals transitioning from math-centric backgrounds.

Additionally, flexible learning formats cater to busy learners through easy online mba programs. These facilitate skill enhancement without compromising current commitments, broadening career prospects in management, finance, and consulting.

For those focused on research and advanced executive leadership, identifying the most affordable dba programs offers access to doctoral-level education. These programs emphasize strategic decision-making and business innovation, complementing a strong analytical foundation from mathematical studies.