Mathematical analysis of the queuing system and application

The mathematical study of waiting lines is mainly concerned with queue performance measures where several applications have been drawn in past studies. This work studies the mathematical analysis of queuing models formed from observed data of a shopping mall checkout service unit. The efficiency of the models in terms of utilization and waiting length is carried out by administering questionnaires so as to rate the system performance. The results show that the inconsistency of the arrival and service process is a major cause for needless long queues formed.