Proposed

Author: Tian Naisuo
Publisher:
Publish Date: 2002-05-01
Features: This book is suitable for undergraduate and graduate students, as well as teachers, in mathematics, operations research and management, and applied probability theory at universities. It can also be used as a reference for engineering and technical personnel in fields such as industrial management and economic analysis. The book systematically discusses the basic theory of phase-type distributions, quasi-birth-death processes, and matrix geometric solutions, as well as their applications in analyzing complex stochastic models. Through the analysis of stochastic models such as queues with phase distributions, multiple-server vacation queues, random environments, and supply chains, it focuses on introducing methods and techniques for modeling using quasi-birth-death processes and performing performance analysis using matrix geometric solutions. The book includes numerical examples of modern stochastic model applications such as e-commerce operation analysis, peak-hour analysis, and supply chain management.