Queueing Theory: Fundamentals and Analysis Techniques: Fundamentals and Analysis Techniques

Author: Tang Yinghui
Publisher:
Publish Date: 2006-01-01
Features: The book is divided into 10 chapters, systematically introducing the fundamental theories of queuing systems. It focuses on explaining the transient and steady-state properties of several typical queuing systems, as well as basic analytical methods and techniques. Chapters 2 and 3 cover simple queuing systems with infinite and finite sources, respectively. Chapter 4 elaborates on a new approach and technique for analyzing the transient properties of M/G/1/∞ queuing systems, building on traditional analysis. Chapters 5 and 6 introduce typical queuing systems with general arrivals, respectively. Chapter 7 discusses special queuing systems, such as priority service queuing systems. Chapter 8 presents some applications and examples of queuing system theory, while Chapters 9 and 10 explore two important extensions of classical queuing system theory—vacation queuing systems and repairable queuing systems. In the appendix, the famous Little's formula and the relationships among p_j-, p_j, and p_j+ are elaborated, enhancing the rigor and completeness of the book. This book summarizes the author's years of research accumulation and achievements. It holds significant reference value for researchers and engineering professionals working in fields such as applied mathematics, operations research, management science, computer science, and communication engineering. Additionally, it can serve as a textbook for undergraduate and graduate students in applied mathematics, operations research, and related disciplines, as well as a teaching reference for instructors.