Determination of function of readiness of “human-machine” systems during growth of fault rate

Abstract

The article presents studies on the establishment of the function of the readiness of the «human-machine» ergatic systems in the transitional period of reducing their failures. The establishment of the form of the readiness function is solved analytically using the direct and inverse Laplace-Carson transformations.
In the boundary conditions at the beginning of operation and in the conditions of the established pseudo-stationary regime during prolonged operation of the systems, a function of readiness is received which corresponds to the physical essence of the working state of the systems. In standby mode, the readiness function acquires the values of the generally accepted readiness factor.
The operational readiness of a complex «human-machine» ergatic system in a transitional period, reducing the effectiveness of its work, is described by the readiness function, which includes four components, three of which represent the sum of exhibitors. With the increase in the time of exploitation of the «human-machine» system, its readiness to work in the conditions of «aging» of technology and the increase in the fatigue of operators decreases asymptotically closer to its final value.
The final value of the readiness function is achieved in the long term of operation and the transition of the system to virtually steady state. In these conditions, the readiness function acquires the value of the generally accepted readiness factor.