On the limiting characteristics for an inhomogeneous $M_t|M_t|S$ queue   with catastrophes
  We study weak ergodicity, bounds on the rate of convergence, and problems of computing of the limiting characteristics for an inhomogeneous $M_t|M_t|S$ queueing model with possible catastrophes. 
Alexander Zeifman, Anna Korotysheva, Victor Korolev
math.PR