Understand how queues behave in real time, not just in steady state.
This book delivers a practical, math‑driven approach to analyzing transient performance in GI/G/1 queues, with a focus on busy periods, waiting times, and queue lengths.
In clear, steps‑oriented chapters, you’ll see how to model arrivals and services with advanced distributions, derive Laplace transforms, and use tensor notation to manage complex systems. The work emphasizes numerical methods that turn theoretical formulas into actionable results.
What you’ll experience:
- Techniques to obtain closed‑form transforms for key queue metrics.
- Strategies for numerically inverting transforms to get time‑domain results.
- Practical insights into busy period behavior and waiting times under FCFS discipline.
- Guidance on applying these methods to diverse GI/G/1 queue settings.
Ideal for researchers and practitioners who want rigorous, implementable tools for transient queue analysis and performance evaluation.Ideal for readers of advanced queueing theory, operations research, and stochastic processes who seek concrete techniques that translate theory into computable results.