Application of Linear Programming Methods to Create Optimal Evacuation Routes for the Population, Taking Into Account the Experience of a Special Military Operation

The article considers the problem of planning the evacuation of the population in emergency situations, which has been updated by the experience of the special military operation. A mathematical model of the problem is proposed based on algorithms and procedures of linear programming, which allows to optimize the evacuation routes taking into account the capacity of roads, the capacity of temporary accommodation facilities, and the operational situation. The model is tested on a hypothetical example using specialized software, demonstrating its practical applicability for minimizing the total evacuation time.