Jackson networks with single-line stations and exponential constraints on waiting time for service. (Russian. English summary) Zbl 07880686
Summary: An exponential service network with single-line stations is considered, which differs from the Jackson network only in that the waiting time for service requirements at the network stations is limited by a random variable with an exponential distribution. Requests served at nodes and those that were not served move through the network according to different routing matrices. It is proved that there is no stationary distribution in multiplicative form.
MSC:
90B22 | Queues and service in operations research |
90B10 | Deterministic network models in operations research |
60K25 | Queueing theory (aspects of probability theory) |