Kou Fujimoto

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Abstract This paper is concerned with geometric decay properties of the joint queue length distribution A n 1 , n 2 ) in two-stage tandem queueing system P H / P H / q -+ /PH/c2 . We prove that, under some conditions, p h n 2 ) C(n2)r]n1 as nl -+ ca and p (n l , n2 ) C ( n i ) F 2 as n2 -+ ca. We also obtain the asymptotic form of state probabilities when(More)
We present a novel reduction method of port-Hamiltonian systems by a renormalization group. The reduced system is suitable for a fast numerical calculation in a mesoscopic scale. Especially, we aim at the development of renormalized molecular dynamics with controls. First, we define a renormalized Hamiltonian with coarse graining. Next, we introduce a(More)
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