A Comparative Study of Queuing Systems with Variant of Activation Times and Impatience under N Policy

In this paper, we study single server queues under N policy with various server activation strategies and impatience of customers. Customers arrive according to a Poisson process. Service time, activation time, and impatience are exponentially distributed and are all mutually independent. Matrix Geometric Method is used to obtain the stationary distribution of the queuing process. With these distributions we compute performance measures of the respective systems. We also analyse these models numerically in order to have a comparison of the performance measures associated with them. For each model, a suitable cost function is developed. Finally, we explore the optimal value of N numerically and a comparative study of these models is presented.