Model of Functional Behavior of Healthcare Internet of Things Device Using Erlang Phase Method

Abstract

The presented paper deals with exponentially growing technology – the Internet of Things (IoT) in the field of healthcare and medicine providing. The goal of the paper is to develop and research a discrete-continuous stochastic model (DCSM) of a functional behavior of a networked healthcare device (in the considered case – an insulin pump) in a form of a structural automaton model (SAM) using the Erlang phase method. It is spoken in the brief details about the healthcare IoT environment, networked insulin pump hazards and behavior with a description of the functional procedures, indicators and parameters of functionality and safety are given. Much attention is aimed at the development process of the DCSM using exponential and Erlang’s distribution laws, description of basic events and structure of a state vector, development of the SAMs. The procedures of validation of the developed models for the exponential and Erlang’s distribution laws are presented and include four research cases to check the relevance of the obtained results. The obtained results show the limit value of the task non-performing probability.