Queueing systems play a pivotal role in modeling and optimizing service processes across diverse industries. Among various Queueing models, the tandem Queueing model stands out as a fundamental and versatile framework. Understanding and effectively analyzing these systems is crucial for improving efficiency, minimizing delays, and enhancing customer satisfaction. This survey reviews the historical development of tandem Queueing theory, elucidates core concepts, and highlights its significance in modern service systems. We also provide an overview of analytical tools and techniques used to evaluate tandem Queueing system performance, covering both classical and contemporary methodologies.Purpose of this paper is to provide an in-depth evaluation and comprehensive overview of tandem Queueing models.