SUMMARY
The choice of route for cargo delivery to pointed place or places are urgent task of logistics. When consideration of this problem, the classical statement of route choice formulated as traveling salesman problem have been given. The logistics of technical supply in the war activity zones set up claims of choice of the optimal route. These claims are connected with more influence of delivered cargo loses in various tracts of the route on probabilities spread of the loses in comparison with peacetime. Therefore, there has been urgent the determination task of such route via all delivery points that the probability of delivery is maximum. The delivered cargo are not equivalent, and it is another future of considered task. The transport losses in the route between two points caused the losses of all remain loads. In the paper, the mathematical model of the logistics of technical supply in the war activity zones has been offered with aim to provide the maximum effectiveness and safety of delivery of cargo in appointed stations. The task of determination of the most safety path of the delivery of cargo has been formulated. The expression of mathematical expectation of the delivered cargo has been calculated for the selected path. The solution of given task has been offered.