| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1154699 | Statistics & Probability Letters | 2014 | 6 Pages |
•A new recurrent formula to calculate the M/Er/1M/Er/1 queue distribution is presented.•The new recurrent formula is numerically stable and very efficient.•A new analytical formula for the queue distribution is also presented.•A probabilistic interpretation for each of the analytical formula terms is given.
In this paper, two new formulations of the steady-state probability distribution of the number of customers in an M/Er/1M/Er/1 queue system are presented. On one hand, a new recurrent method which is numerically stable and computationally more efficient than the existing ones, in terms of memory and time, is presented. On the other hand, a new analytic formula, simpler than the current ones, which additionally has associated a probabilistic interpretation of its terms, that gives a new insight about this queue and its behavior, is also presented.
