In this paper we apply Laplace Transform approach to control queue. We first present some relevant properties and important theorems of Laplace Transforms and Catastrophe Process. We determine the optimal time that the gatekeeper should wait after a rejected customer, before admitting another customer by Laplace Transform approach. This optimal time depends on penalty costs and on expected interadmit times, interaccept times and other time measurements. We verify our obtained expected times with Tang (2005) who found the expected times by setting up somewhat complex linear systems of equations. We also obtain the complete distribution of the relevant times. This Laplace Transforms approach to this problem is completely new and adds additional information to that obtained by Tang (2005). In addition, Tang’s comments on the  system do not completely generalize her result, whereas we give a more lengthy discussion of this case. Finally our results confirm Tang’s result and Tang’s result act as a partial verification that our results are correct.

About the Speaker:

Rifat Ara Jahan did her BSc and MSc in Applied Statistics from ISRT, University of Dhaka, Bangladesh.