THE PROPORTION OF BAULKING CUSTOMERS IN THE QUEUE GI/M/1 WITH BAULKING AT QUEUES OF LENGTH N,

Abstract : Under study is a single server queue with general independent, identically distributed arrival times and independent, negative exponential service times in which at most N customers may be in the system at any given time. It is assumed that a customer, arriving in the system to find it already full, is rejected or, what will amount to the same thing, baulks. These considerations arose as a consequence of a problem in multiple reorder-point inventory although the queuing problem is of interest for its own sake. In this note we find an expression for the proportion of rejected customers. In the steady state situations, this proportion will be the probability that a given customer will find the system full. (Author)