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Optimising embedded ATM networks

In this paper we discuss configuring digital cross-connect systems (DCS) to form an embedded logical asynchronous transfer mode (ATM) network from a physical facility network. A DCS forms a channel, called a pipe, that connects two nodes. Configuration of these switches results in allocation of bandwidth to these pipes. The ATM network is modelled as a network of M/M/1 queues and the design of the logical network is formulated as an optimisation problem. The properties of the logical network are investigated and a property of unfragmented flows is found. This is conjectured to apply to more complicated networks.