TITLE:
Transient Solution of M/M/2/N System Subjected to Catastrophe cum Restoration
AUTHORS:
Dhanesh Garg
KEYWORDS:
Catastrophes, Markovian Queue, Restoration, Transient State, Laplace Transform
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.4,
April
14,
2015
ABSTRACT: In this paper, we study the distribution of the number of times that a finite capacity with equal servers Markovian
queuing model catastrophic-cum-restorations reaches its capacity in time t. 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 t and the number of times system reaches its capacity in time t under the conditions of catastrophes
and restorations.