These models have been developed to establish a trade off between costs of providing and the waiting time of a customer in the queuing system. Constructing a model entails describing the components of the system arrival process queue structure and service process and solving for the measure of performance average length of waiting time average time spent by the customer in the line traffic intensity etc of the waiting systems.

Competitive Models: These models are used to characterize the behaviour of two or more opponents ( called players) who compete for the achievement of conflicting goals. These models are classified according to several factors such as number of competitors sum of loss and gain and type of strategy which would yield him the best or the worst out comes.