On the limiting characteristics for an inhomogeneous $M_t\mathrm{\mid }{M}_t\mathrm{\mid }S$ queue with catastrophes

We study weak ergodicity, bounds on the rate of convergence, and problems of computing of the limiting characteristics for an inhomogeneous $M_t\mathrm{\mid }{M}_t\mathrm{\mid }S$ queueing model with possible catastrophes.