AN (a, c, d) POLICY M/M/1 BULK SERVICE QUEUE WITH BERNOULLI SCHEDULE

摘要

A single server bulk service queue under the policy (a, c, d) with Bernoulli schedule is considered here. The arrival process is assumed to be Poisson with parameter X. Here, the server begins service only if the number of units in the queue n is at least c and the server serves a max {n, d} units in a batch according to FCFS rule and the service time distribution is assumed to be exponential with parameter u. If after a service completion epoch the queue size n is less than c but not less than a secondary limit a(a