%0 Journal Article
%T Transient Solution of M/M/2/N System Subjected to Catastrophe cum Restoration
%A Dhanesh Garg
%J Open Access Library Journal
%V 2
%N 4
%P 1-8
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1101404
%X In this paper, we study the distribution of the number of times that<span> </span>a finite capacity with equal servers Markovian
queuing model catastrophic-cum-restorations reaches its capacity in time <i>t</i>. The occurrence of a catastrophe makes
the system empty instantly but the system takes its own time to be ready to
accept new customers. This time is referred to as ¡°restoration time¡±. The aforesaid
distribution is obtained as a marginal distribution of the joint distribution
of the number of customers in the system at time <i>t</i> and the number of times system reaches its capacity in time <i>t</i> under the conditions of catastrophes
and restorations.
%K Catastrophes
%K Markovian Queue
%K Restoration
%K Transient State
%K Laplace Transform
%U http://www.oalib.com/paper/3143526