Some comments on the simple queue. (English) Zbl 0547.60095
Summary: This communication provides an explicit expression for the joint probability of exactly i arrivals and j service completions in a duration of length t for the simple queue. The impossibility of a similar expression for the queue-length distribution is explained.
MSC:
| 60K25 | Queueing theory (aspects of probability theory) |
| 60J10 | Markov chains (discrete-time Markov processes on discrete state spaces) |
| 90B22 | Queues and service in operations research |
