Stationary distribution of the closed queuing network with batch transitions of customers

Consideration was given to the closed queuing network with batch jockeying customers. This network extends the Gordon-Newell model to the case of batch customer servicing. The serviced batch discharges a node without changing its size and arrives to another node with a probability depending on its size. Some constraints must be imposed on the servicing process. The form of the stationary distribution was established, and an efficient algorithm to determine it was proposed.