Ergodicity and Perturbation Bounds for $M_t/M_t/1$ Queue with Balking, Catastrophes, Server Failures and Repairs

Equilibrium balking strategies in the single server Markovian queue with catastrophes

We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and an exponential repair time is set on. We assume that the arriving customers decide whether to join the system or balk, based on a natural reward-cost structure. We study the balking behavior of the customers and derive the corresponding Nash equilibrium strategies.

带竞争与灾变的CBIRE过程的指数遍历性

Exponential Ergodicity of CBIRE-Processes with Competition and Catastrophes

本文在Lyapunov型条件下，通过马尔可夫耦合与耦合生成元精细估计，证明带竞争与灾变的CBIRE过程的指数遍历性，明确三类因素平衡分支机制以保障遍历性的作用。

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.