The quality of tasks during the elimination of the consequences of destruction (accidents) of potentially dangerous objects by all units of different departments depends on the experience and coherence of actions, objective quantitative assessment and effectiveness of all measures provided by the regulations in these situations. The purpose of the study: to develop a mathematical model that allows to evaluate the effectiveness of radiation, chemical, biological exploration and special treatment during the elimination of destruction (accidents) at potentially dangerous objects. Objectives of the study: to determine the main tasks that arise during RHB infection and to consider the possibility of using a mathematical model to determine the effectiveness of their implementation using the theory of queuing. The model for determination of efficiency of performance of the set tasks is investigated and using methods of the mathematical analysis and the theory of queuing ways of its perfection are substantiated. Applying the model of the system approach, the possibility of increasing the efficiency of radiation, chemical or biological reconnaissance and special treatment is mathematically substantiated. It is proved that the relative efficiency does not depend on the number of units of resources involved and the duration of the process, but only on the number of measures taken. The obtained results can be used when considering and evaluating the effectiveness of any units of CBRN protection involved in the elimination of the consequences of destruction (accident) at potentially dangerous objects, as the optimal solution always has only one (highest) measure of "rationality" as it maximizes system efficiency. Keywords: chemical, biological, radioactive and nuclear protection, radiation and chemical reconnaissance, special treatment, efficiency, queuing theory.