Stochastic Differential Equations in Computing: A Poisson Counter Approach

This book presents Poisson Counter-Driven Stochastic Differential Equations (PCSDEs) and their applications in computer systems. PCSDEs provide a mathematical framework for analyzing systems that combine continuous evolution with discrete events - a characteristic feature of many modern computer systems from network protocols to cloud computing platforms. The first comprehensive treatment of PCSDEs in computer systems, this book bridges the gap between theoretical foundations and practical engineering applications. Through careful development of mathematical tools and concrete case studies, the author demonstrates how rigorous analysis can lead to improved system design in networking, cloud computing, IoT devices, and content delivery networks.