6 resultados para Batch Markovian Arrival Process

em Bulgarian Digital Mathematics Library at IMI-BAS


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This work was supported by the Bulgarian National Science Fund under grant BY-TH-105/2005.

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This is a review of methodology for the algorithmic study of some useful models in point process and queueing theory, as discussed in three lectures at the Summer Institute at Sozopol, Bulgaria. We provide references to sources where the extensive details of this work are found. For future investigation, some open problems and new methodological approaches are proposed.

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Key words: Markov-modulated queues, waiting time, heavy traffic.

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Fermentation processes as objects of modelling and high-quality control are characterized with interdependence and time-varying of process variables that lead to non-linear models with a very complex structure. This is why the conventional optimization methods cannot lead to a satisfied solution. As an alternative, genetic algorithms, like the stochastic global optimization method, can be applied to overcome these limitations. The application of genetic algorithms is a precondition for robustness and reaching of a global minimum that makes them eligible and more workable for parameter identification of fermentation models. Different types of genetic algorithms, namely simple, modified and multi-population ones, have been applied and compared for estimation of nonlinear dynamic model parameters of fed-batch cultivation of S. cerevisiae.

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2000 Mathematics Subject Classification: Primary 60G70, 62F03.

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2000 Mathematics Subject Classification: Primary 60G55; secondary 60G25.