Queueing theory is a fundamental area of applied mathematics that plays a critical role in optimizing performance across a wide range of industries, from telecommunications and manufacturing to healthcare and transportation. This book, "Queue Syst...

Queueing theory is a fundamental area of applied mathematics that plays a critical role in optimizing performance across a wide range of industries, from telecommunications and manufacturing to healthcare and transportation. This book, "Queue Systems: Mathematical Models and Applications," provides a rigorous mathematical foundation for understanding queueing behaviour, analyzing stochastic processes, and applying optimization techniques to real-world problems. Designed for graduate students, researchers, and professionals, this book presents a comprehensive overview of queueing systems while maintaining a balance between theoretical derivations and practical applications. The chapters are structured to introduce fundamental concepts first, progressing to more advanced models and specialized topics. Topics covered include Markovian queues, general distributions, priority queues, bulk service models, retrial systems, and queueing networks. A dedicated section on simulation techniques is also included to help readers develop computational insights into queue behaviour. Mathematical precision is maintained throughout, with detailed derivations of key results supported by proofs, theorems, and practical examples. Numerous exercises are included at the end of each chapter to reinforce understanding and encourage further exploration. This book aims to serve as a reference guide for those conducting research in Queueing theory while also being an invaluable resource for practitioners in industries where waiting time, service efficiency, and resource optimization are crucial considerations. By bridging the gap between theory and application, "Queue Systems: Mathematical Models and Applications" seeks to provide a thorough yet accessible exposition of Queueing theory, equipping readers with the analytical tools needed to tackle real-world challenges.