Department of Mathematics, G.B.S. College, Mauranipur (INDIA)
Department of Mathematical Sciences and Computer Application, Bundelkhand University, Jhansi, U.P. (INDIA)

In this paper a Closedown time concent is introduced in a Bulk queuing model closedown time dependent a MX/G(a,b)/queuing system with multiple vacation is considered. After completing a service, if the queue length is  , where  <a, then the server performs closedown work. After that the server leaves for multiple vacation of random length, irrespective of queue length. After a vacation, when it returns. If the queue length is less than ‘a’, it leaves for another vacation and so on, until he finds ‘a’ customers in the queue. After a vacation, if the server finds at least ‘a’ customers waiting for service, say , then he serves a batch of size min (,b) customers, where b >a. Various Characteristics of the queueing system and a cost model with the numerical result for a particular case of the model are presented in this paper.