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Fluid models have for some time been used to approximate stochastic networks with discrete state. These range from traditional ‘heavy traffic’ approximations to the recent advances in bio-chemical system models. Here we present a simple approximate compositional method for analysing a network of fluid queues with Markov-modulated input processes at equilibrium. The idea is to approximate the on/off...
We have investigated phytoplankton competition in a 1D, coupled physical-biological, individual-based model, designed to simulate a size-structured phytoplankton community, whose members belong to the same functional group but differ in size (20, 40 and 60μm ESD), and compete for two resources (light and nutrient-nitrogen) in the frame of a food-chain plankton ecosystem, forced by astronomical and...
In this paper we consider the distribution of message transmission times in buffered full cross bar interconnection networks with cyclic arbitration in which the input buffers are serviced in a 'round robin' fashion. The system is modelled as an open queue ing network in which the queues appear at the net work outputs and with the cyclic arbiter being mod elled by queue jumping. We obtain the Laplace...
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