MAP-Based De omposition of Tandem Networks of /PH/1(/K) Queues with MAP Input
نویسنده
چکیده
For non-trivial (open) queueing networks and also for tandem queueing networks, de omposition often represents the only feasible solution method besides simulation. The network is partitioned into individual nodes whi h are analyzed in isolation with respe t to approximate internal traÆ representations. The quality of the qui kly obtainable results very mu h depends on the des riptors for the traÆ pro esses within the network. In this paper, the de omposition of tandem networks is based on Markovian arrival pro esses (MAPs), whi h allow to apture the orrelations in the traÆ pro esses. The orrelation stru ture of network traÆ is known to have a onsiderable impa t on performan e measures. Moreover, MAP inputs onsiderably in rease the range of appli ations of the queueing networks with phase type servi e times and ustomer losses. Numeri al experiments on tandem networks demonstrate the a ura y of the newly proposed approa h, whi h may be extended to general queueing networks with Markovian routing.
منابع مشابه
Output Models of MAP / PH / 1 ( / K )
For non-trivial (open) queueing networks, traÆ -based de omposition often represents the only feasible { and at the same time fast { solution method besides simulation. The network is partitioned into individual nodes whi h are analyzed in isolation with respe t to approximate internal traÆ representations. Sin e the orrelations of network traÆ may have a onsiderable impa t on performan e measu...
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