Abstract. We develop the use of piecewise linear test functions for the analysis of sta- bility of multiclass queueing networks and their associated fluid ...
We develop the use of piecewise linear test functions for the analysis of stability of multiclass queueing networks and their associated fluid limit models.
Piecewise linear test functions for stability and instability of queueing networks Journal Articles ... multiclass queueing networks; performance analysis ...
Piecewise linear test functions for stability and instability of queueing networks Journal Articles uri icon. Overview; Identity; Additional Document Info ...
Queueing Systems: Theory and Applications 13 41-46. Down, D. and S. Meyn (1994a). Piecewise linear test functions for stability of queueing networks.
(1994). Piecewise linear test functions for stability of queueing networks. Proc. 33rd Conference on Decision and Control, 2069–2074. [Du96] Dumas, V. (1996).
Piecewise linear Lyapunov functions are used in Fayolle, Malyshev, Mensikov and ... The following linear program tests the stability of the system for all 1 and 2 ...
Jun 7, 2023 · In Section 3.2, we apply a piecewise-linear test function to the expanded network to obtain a stability criterion (Proposition 1) for both the ...
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In this paper, a class of piecewise linear Lyapunov functions is used to obtain the sufficient conditions for the stability of multiclass fluid networks ...
In Section 1.1, we discuss the M/M/1 queue, which is the “simplest” queueing network. It consists of a single queue, where jobs enter according to a Pois- son ...