TY - JOUR N2 - In the paper, we investigate queueing system M/G/∞ with non–homogeneous customers. As non–homogenity, we mean that each customer is characterized by some arbitrarily distributed random volume. The arriving customers appear according to a stationary Poisson process. Service time of a customer is proportional to his volume. The system is unreliable what means that all its servers can break simultaneously and then the repair period goes on for random time having an arbitrary distribution. During this period, customers present in the system and arriving to it are not served. Their service continues immediately after repair period termination. Time intervals of the system in good repair mode have an exponential distribution. For such system, we determine steady–state sojourn time and total volume of customers present in it distributions. We also estimate the loss probability for the similar system with limited total volume. An analysis of some special cases and some numerical examples are attached as well. L1 - http://journals.pan.pl/Content/116285/PDF/14D_289-297_01251_Bpast.No.68-2_28.04.20_K2G_TeX.pdf L2 - http://journals.pan.pl/Content/116285 PY - 2020 IS - No. 2 (i.a. Special Section on Computational Intelligence in Communications) EP - 297 DO - 10.24425/bpasts.2020.133107 KW - queueing system with non–homogeneous customers KW - unreliable queueing system KW - total volume KW - loss probability KW - Laplace–Stieltjes transform A1 - Tikhonenko, O. A1 - Ziółkowski, M. VL - 68 DA - 30.04.2020 T1 - Performance evaluation of unreliable system with infinite number of servers SP - 289 UR - http://journals.pan.pl/dlibra/publication/edition/116285 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -