Stability of mixed generalized Jackson networks

Jackson networks are typically open or closed: Either all customers join th e network and eventually leave it, or no customers ever enter or exit. Here we focus on mixed Jackson networks, with both types of customers, general arrival streams and general service time distributions. We examine the stab ility of the model in terms of the positive Harris recurrence or transience of a Markov process which describes the state of the system. (C) 1999 Else vier Science B.V. All rights reserved.