"Mathematical Modeling of Queueing Inventory System" by K. Prasanna Lakshmi is a comprehensive guide to understanding the mathematical models of queueing inventory systems. This book is an essential reference for students, researchers, and professionals in the field of operations research and management science.
The book starts with an introduction to queueing theory and inventory theory, followed by the integration of these theories in the queueing inventory system. The author covers the fundamentals of queueing systems, including arrival processes, service processes, and queueing disciplines, and the basics of inventory systems, such as inventory control policies and cost analysis.
Furthermore, the book provides a detailed discussion of mathematical modeling techniques used in queueing inventory systems, including Markov chains, renewal theory, and queueing network models. The author presents the applications of these models in real-world scenarios, such as manufacturing, healthcare, and service industries.
In addition, the book includes a chapter on simulation techniques for queueing inventory systems, such as discrete event simulation and Monte Carlo simulation. The author explains how these techniques can be used to validate and improve the accuracy of mathematical models.
Overall, "Mathematical Modeling of Queueing Inventory System" is an invaluable resource for researchers, students, and practitioners in the fields of operations research, management science, and industrial engineering. The book provides a comprehensive understanding of the mathematical models used in queueing inventory systems, their applications in real-world scenarios, and the simulation techniques used to validate these models.