Abstract

 The idea of queues is no new concept as it is seen in everyday life scenarios Queuing theory examines the dynamics of waiting lines, providing valuable insights for systems where service demand and timing are unpredictable. It is instrumental in determining the optimal service level to balance the costs of service provision and customer wait times. This theory is applicable to both finite and infinite population models, addressing the unique challenges each presents. By analyzing factors such as arrival and service rates, queueing theory aids in designing efficient systems, optimizing resource allocation, and enhancing customer satisfaction. Its applications span various fields, including telecommunications, traffic management, and manufacturing, making it a cornerstone of operations research and management science.