An exponential two-node queueing network with one server on each node is studied. The first node is of unlimited capacity while the buffer length before the second node is equal to r, r < 1. In addition to usual (positive) customers arriving to the first queue, there are negative customers arriving at each node. Two disciplines of the node conjugation are considered: discipline with internal losses and blocking with repeated service on the first node server. In both cases, necessary and sufficient ergodicity conditions are obtained and an algorithm is developed for the computation of the queueing network stationary state probabilities.
Ergodicity conditions for a two-node open network with internal losses or blocking and negative arrivals
D'APICE, Ciro;
2004-01-01
Abstract
An exponential two-node queueing network with one server on each node is studied. The first node is of unlimited capacity while the buffer length before the second node is equal to r, r < 1. In addition to usual (positive) customers arriving to the first queue, there are negative customers arriving at each node. Two disciplines of the node conjugation are considered: discipline with internal losses and blocking with repeated service on the first node server. In both cases, necessary and sufficient ergodicity conditions are obtained and an algorithm is developed for the computation of the queueing network stationary state probabilities.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
