The Cramér–Lundberg Model and Its Variants: A Queueing Perspective (Springer Actuarial)

Providing a systematic and self-contained approach to evaluate the crucial quantities found in the Cramér–Lundberg model, the book makes use of connections with related queueing models when appropriate, and its emphasis on clean transform-based techniques sets it apart from other works. In addition to consolidating a wealth of existing results, the book also derives several new outcomes using the same methodology.

This material is complemented by a thoughtfully chosen collection of exercises. The book's primary target audience is master's and starting PhD students in applied mathematics, operations research, and actuarial science, although it also serves as a useful methodological resource for more advanced researchers. The material is self-contained, requiring only a basic grounding in probability theory and some knowledge of transform techniques.

Onno Boxma is Professor of Stochastic Operations Research in the Department of Mathematics and Computer Science of Eindhoven University of Technology. His main research interests are in queueing theory and its applications to the performance analysis of computer-, communication-, production- and traffic systems, and in insurance risk.