Kronecker Modeling and Analysis of Multidimensional Markovian Systems

• Main Author: Dayar, Tuğrul (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Series in Operations Research and Financial Engineering,
• Subjects: Probabilities.; Computer mathematics.; Computer system failures.; Probability Theory and Stochastic Processes.; Computational Mathematics and Numerical Analysis.; System Performance and Evaluation.

This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. Numerical methods for steady-state and transient...

Table of Contents:

• Introduction
• Modeling with Kronecker Products
• Avoiding Unreachable States
• Preprocessing
• Vector-Kronecker Product Multiplication
• Steady-State Analysis
• Transient Analysis
• Conclusion.