Mathematics of Risk Management using Unimodular Matrix. Interpolation and Numerical Simulations


Keywords:
Simulations, Numerical Results, Cost, Benefit, Risk, UrgencyAbstract
In this research, we review the state of mathematics of risk research in business, and we position
our intended contribution within the research space along the dimensions of decision support and its
application within numerical simulations to AI service management processes. The aim of this study is to
solve the problem of managing multifactorial risks using numerical methods to determine the optimal risk
management trajectories separately for each factor.
We start from a constructive and quantitative re-definition of some terms that are widely used in IT service
management. We show that the techniques we use - in particular the simulation of an IT organization
enacting the incident management process – bring considerable benefits both when the performance is
measured in terms of traditional IT metrics. IT service management processes and we present a
methodology and a tool consistent with the framework for approaching the general problem in that
particular one. The situation of risk involves the identification of several behaviors, during which one can
make a choice in the direction of risk or reliability.The solution is quite rich, and features components that
orchestrate together advanced techniques in visualization, simulation, data mining and operations research.
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