The problem of multivariate nature is formed and solved, which is related to the modeling of logistics actions regarding various military equipment and weapons that enter the zone of military conflict. The relevance of the research is related to the comprehensive solution to the problem of the logistical nature of the supply and mastering modern various weapons by the military to create parity of forces in the military conflict zone. The current study creates a complex of logistic methods and models that allow analyzing training of the military, supply of weapons, ammunition and spare parts to the zone of military conflict, for the successful implementation of the goals of the military operation. This article analyzes the problem of using modern and diverse military equipment, which needs to be solved by systematically presenting military training in logistics, supplying various weapons from various manufacturers to the area of combat operations. The optimization model has been created to select and justify the composition of suppliers of weapons, spare parts and ammunition, in the context of risks that arise in the production and transportation of military cargo in a heterogeneous transport network. Optimization is performed in conditions of conflicting criteria: the number of new weapons; time and costs for the production and supply of military equipment; logistical risks. To study dynamic processes in the logistics of supplying weapons, spare parts and ammunition, a model has been created that allows, with the help of simulation agents, the investigation of the paths of movement of military cargo under the conditions of military threats and possible excitation of critical vulnerabilities in the heterogeneous transport supply network. An algorithm for forming the optimal delivery route at the minimum time under risks has been developed. Simulation modeling is used to estimate the movement time of military cargo, delays in supply, accumulation of risks in cargo transportation, consequences of threats and vulnerabilities in supply logistics, etc. This study examines the process of training the military by mastering new competencies for the use of various modern weapons in combat conditions. Simultaneously, the short terms of training of military personnel and the logistics of their transportation to training centers are considered subject to the threats and risks of wartime. The effectiveness of the proposed approach is ensured by a systematic representation of the logistics of supplying various weapons, spare parts and ammunition to the conflict zone, and a comprehensive solution to the research tasks set. The scientific novelty of the conducted research is associated with the development of new methods and models based on system analysis. The following methods were used: simulation modeling, models for optimizing, competence model for acquiring new knowledge by the military personnel. The results of the study should be used to select and justify suppliers of new diverse weapons and military equipment, train the military to use modern kinds and types of weapons, plan routes and schedules for the supply of military cargo to the area of combat operations, in conditions of wartime threats.