Steady State Analysis of Batch Arrival Queue with General Service
Abstract
In this paper ???????? /???? / 1 queue with service to breakdowns, multiple vacation and closedown times,where the customers arrive to the system in batches of variable size. The server takes vacation each time thesystem becomes empty, if he finds at least one customer in the system then he goes for service After completing
a service, if the queue length is ????, where????< a ,then the server performs closedown work. After a vacation ,if theserver finds atleast „a? customer waiting for service say ???? , then he serves a batches of size min(????, ????) customer,where b? ???? .the system may breakdown at random and repair time follow exponential distribution .In addition restricted admissibility of arriving batches in which not all batches are allowed to join the system at all times.
The probability generating function for the number of customer in the queue is found using the supplementary
variable technique.
Author
P.Prabhu, N. Prakash, R. Vigneshwar,
Download
