Comments on: Light tail asymptotics in multidimensional reflecting processes for queueing networks

• T. Rolski ^[1]
  1. [1] University of Wrocław

     University of Wrocław

     Breslavia, Polonia

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 19, Nº. 2, 2011, págs. 302-305
• Idioma: inglés
• DOI: 10.1007/s11750-011-0182-z
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• Resumen

  • In the present paper, professor Masakiyo Miyazawa presents a review on a difficult but recently very interesting topic: reflected processes for queueing networks. The study of reflected processes together with Markov additive ones has been the research programme of the author for many years. The title of the review seems not to give the full picture of the research. The major problem, also studied in the paper, is to work out the stationary distribution of joint characteristics of the interesting multidimensional process. The next step, since such distributions are hardly ever available, or given in implicit forms like multidimensional Laplace transform or even in the form of an equation, is to give some bounds, asymptotics, etc.