The problem of rescue equipment compilation was analyzed, which showed such features as the existing limited financial resources, a significant increase in the capacity of the element base, decision making processes based solely on the experience and intuition of those responsible person was carried out. It is shown that the previously proposed solutions were based on the cost of equipment, its reliability, functionality and capacity, while the aspect of its applicability or relevance was ignored. Taken into account the significant number of potential elements of equipment that may be included in the kit, limitations that will reduce the number of possible variants based on the method of sequential analysis of variants are proposed. It is proposed to determine the priority of equipment elements of a certain class using the method of analytic hierarchy process on the prioritization of criteria and procedures for determining the competence of experts. Since the task of compilation is multi-criteria, it is proposed to include the criterion of relevance in the criteria for determining the optimal kit. Models of equipment relevance indicators are constructed, as well as the relevance rate of the equipment element is determined and a model to determine the relevance rate of the set of emergency rescue equipment for a certain emergency situation is developed. It is proposed to calculate the total relevance rate of the equipment set for all emergencies as the average value of the relevance rate of the kit for each emergency, provided they are equivalent, or as a weighted value otherwise. Numerical modeling based on the developed algorithm allowed to draw conclusions about the relevance and, as a consequence, the priority of equipment elements, as well as to assess the degree of provision of rescue unit with rescue equipment in various emergencies