A general fluid flow model for a network buffer with tail drop queueing policy is introduced and shown to be suitable for representing a large class of queueing system. An on-line identification scheme for this model is presented and an optimal control strategy is developed using the minimal principle of Pontryagin. Experimental results show that the implementation of this control policy is nearly optimal for a large range of experimental conditions.
An approximate dynamical extension of queueing theory result is described and is applied to Jackson's and G's Networks. It is shown that the dynamics of these networks may be represented by non-linear compartmental systems which are cooperative for the former case and may sometimes be competitive for the latter case. The implications in term of stability are discussed and an illustrative example is provided.
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