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...Interval markov chains performance measures and sensitivity analysis mingmei teo thesis submitted for the degree of master philosophy in applied mathematics at university adelaide school mathematical sciences december contents abstract vii signed statement ix acknowledgements xi introduction background discrete time continuous intervals incorporating into literature review decision processes terminology optimisation essentials analytic investigation description problem possible methods to obtain expected total costs problems iii simplication minimisation maximisation development an solution mean hitting times analyticsolutiontoathreestatediscrete timeintervalmarkov chain counterexampleforafourstatediscrete mapping uniformisation transformingdiscrete timeexpectedtotalcoststocontinuous numerical method pre processing degeneracy outward rounding coherence separation matlabfmincon formulation choice algorithm gradient hessian initial point removal degenerate from tolerances...