A large-deviations analysis of Markov-modulated infinite-server queues

[1]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[2]  Julian Keilson,et al.  The matrix M/M/∞ system: retrial models and Markov modulated sources , 1993 .

[3]  P. Glynn Large Deviations for the Infinite Server Queue in Heavy Traffic , 1995 .

[4]  Amir Dembo,et al.  Large Deviations Techniques and Applications , 1998 .

[5]  Michel Mandjes,et al.  A large deviations approach to the transient of the Erlang loss model , 2001, Perform. Evaluation.

[6]  Adam Shwartz,et al.  Large Deviations For Performance Analysis , 2019 .

[7]  Nico Vandaele,et al.  Modeling Traffic Flows with Queueing Models: a Review , 2007, Asia Pac. J. Oper. Res..

[8]  Gennadi Falin,et al.  The M/M/∞ queue in a random environment , 2008, Queueing Syst. Theory Appl..

[9]  Bernardo D'Auria M/M/∞ queues in semi-Markovian random environment , 2008, Queueing Syst. Theory Appl..

[10]  P. Glynn,et al.  A new view of the heavy-traffic limit theorem for infinite-server queues , 1991, Advances in Applied Probability.

[11]  Ivo J. B. F. Adan,et al.  An infinite-server queue influenced by a semi-Markovian environment , 2009, Queueing Syst. Theory Appl..

[12]  Michel Mandjes,et al.  Semi-Markov-Modulated Infinite-Server Queues: Approximations by Time-Scaling , 2012 .

[13]  W. Marsden I and J , 2012 .

[14]  Katja N. Rybakova,et al.  Transcription stochasticity of complex gene regulation models. , 2012, Biophysical journal.

[15]  Michel Mandjes,et al.  Markov-modulated infinite-server queues with general service times , 2014, Queueing Syst. Theory Appl..