In this paper we present an overview of decomposition-based analysis techniques for large open queueing networks. We present a general decomposition-based solution framework, without referring to any particular model class, and propose a general fixed-point iterative solution method for it. We concretize this framework by describing the well-known QNA method, as proposed by Whitt in the early 1980s, in that context, before describing our FiFiQueues approach. FiFiQueues allows for the efficient analysis of large open queueing networks of which the interarrival and service time distributions are of phase-type; individual queues, all with single servers, can have bounded or unbounded buffers. Next to an extensive evaluation with generally very favorable results for FiFiQueues, we also present a theorem on the existence of a fixed-point solution for FiFiQueues.
|Title of host publication||Queueing Networks: A Fundamental Approach|
|Editors||Richardus J. Boucherie, Nico van Dijk, Nico M. van Dijk|
|Place of Publication||New York|
|Number of pages||57|
|Publication status||Published - 2011|
|Name||International Series in Operations Research & Management Science|
- Queueing networks