Queueing Theory -- Fundamentals and Analysis Techniques

Author: Tang Yinghui, Tang Xiaowo
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 the M/G/1/∞ queuing system, building on traditional analysis. Chapters 5 and 6 introduce typical queuing systems with general arrivals, while Chapter 7 discusses special queuing systems, such as priority-service queuing systems. Chapter 8 presents some applications and examples of queuing system theory, and Chapters 9 and 10 explore two important extensions of classical queuing system theory—vacation queuing systems and repairable queuing systems. In the appendix, the renowned Little's formula and the relationships among p_j-1, p_j, and p_j+1 are elaborated, enhancing the rigor and completeness of the book. This book summarizes the authors' years of research accumulation and achievements. It serves as a valuable reference for researchers and engineering professionals working in applied mathematics, operations research, management science, computer science, and communication engineering. Additionally, it can be used as a textbook for undergraduate and graduate students in applied mathematics, operations research, and related fields, as well as a teaching reference for instructors.