Convergence in the total variation norm in multiserver queues

Springer Science and Business Media LLC - Tập 100 - Trang 293-295 - 2022
Sergey Foss1
1Heriot-Watt University, Edinburgh, Scotland

Tài liệu tham khảo

Borovkov, A.A.: Asymptotic Methods in Queueing Theory. Wiley, (1980) Brandt, A.: On stationary waiting times and limiting behaviour of queues with many servers II: The \(G/GI/m/\infty \) case. Elektron. Informationsverarb. Kybernetik 21, 151–162 (1985) Foss, S.: On ergodicity conditions for multi-server queueing systems. Siberian Math. J. 24, 168–175 (1983) Kiefer, J., Wolfowitz, J.: On the theory of queues with many servers. Trans. Amer. Math. Soc. 78, 1–18 (1955) Loynes, M.: The stability of a queue with non-independent inter-arrival and service times. Proc. Cambridge Phil. Soc. 58, 497–520 (1962) Meyn, S., Tweedie, R.: Markov Chains and Stochastic Stability. Springer, (1993) Nakatsuka, T.: The untraceable events method for absorbing processes. J. Appl. Prob. 43, 652–664 (2006) Stoyan, D.: Comparison Methods for Queues and Other Stochastic Models. Springer, (1983)