Orhan, Muhsin Can2016-01-082016-01-082011http://hdl.handle.net/11693/15256Ankara : The Department of Computer Engineering and the Graduate School of Engineering and Science of Bilkent University, 2011.Thesis (Master's) -- Bilkent University, 2011.Includes bibliographical references leaves 63-66.Markovian systems with multiple interacting subsystems under the influence of a control unit are considered. The state spaces of the subsystems are countably in- finite, whereas that of the control unit is finite. A recent infinite level-dependent quasi-birth-and-death (LDQBD) model for such systems is extended by facilitating the automatic representation and generation of the nonzero blocks in its underlying infinitesimal generator matrix with sums of Kronecker products. Experiments are performed on systems of stochastic chemical kinetics having two or more countably infinite state space subsystems. Results indicate that, albeit more memory consuming, there are many cases where a matrix analytic solution coupled with Lyapunov theory yields a faster and more accurate steady-state measure compared to that obtained with simulation.viii, 106 leaves, illustrationsEnglishinfo:eu-repo/semantics/openAccessMarkov processesNumerical analysisSimulationBiologyQueues theoryQA188 .O74 2011Kronecker products.Markov processes.Numerical analysis.Queuing theory.ThesisB130538