The determination of quantitative-temporal characteristics of attracting repair personnel in the event of mass failures in rural distribution electric networks

The paper considers the possibility of using a numerical solution of a system of differential equations describing a delay queuing system. At the same time, to determine the required number of repair personnel, a three-phase queuing system is used, each phase of which represents a certain stage of servicing the requirements for eliminating the failure. Such a system is used in case of mass failures in rural distribution electric networks, for example, in natural emergencies. The criterion for choosing the optimal number of repair personnel for each phase of a multiphase queuing system is not to exceed the specified service waiting time by a request, which is accepted at the level of 30% of the average service time for this phase. An algorithm has been developed that uses the results of a numerical solution of a system of differential equations describing a queuing system and allows determining the point in time when this criterion is violated. For a given point in time, the queuing system changes are an increase in the number of service personnel, and the queuing system is calculated with new parameters, but using the boundary conditions received from the previous queuing system. The developed algorithm has been implemented in software and results are obtained on the required number of repair personnel for the input parameters of the queuing system, obtained from the processing of statistical information on the operation of rural distribution electric networks.