The transport problem (TS), as one of the forms of the linear programming problem, allows you to optimize the distribution of limited resources of fire departments (fire trucks, equipment and materials) over several simultaneous calls. The use of TOR, as an alternative to the current deterministic departure schedule, for resource allocation should increase the response efficiency, i.e. reduce damage. The article proposes an algorithm for estimating this amount of damage reduction based on the use of available official statistics on fires and taking into account the structure of the TK.

Keywords: inverse problem, linear programming problem, spectrum of the problem, domain of feasible solutions, histogram of damage distribution

The paper discusses the principles and algorithms for increasing the efficiency of the functioning of fire departments through management innovations, including insurance principles for compensation for damage and financing of units of the State Fire Service (SFS), attraction of leasing and outsourcing tools. As a basis for modeling the influence of innovative factors on the efficiency of fire suppression, a model of insurance coverage for fire departments, taking into account the insurance burden on groups of the population of the Russian Federation, was adopted. In calculations and estimates, official data from fire statistics and Rosstat were used.

Keywords: innovation, outsourcing, leasing, insurance rate, compensation for damage, commercial fire departments, application scenarios

The issues of modeling the interaction of humans and robots in a common operating environment are considered in order to select the optimal parameters of such a system. The context of the application of multi-agent robotic systems (MRTS) is the monitoring of a fire hazardous area. The homogeneous MRTS includes unmanned aerial vehicles (UAVs) that cyclically perform operations of flying around their area of ​​the territory (with identification of fires) in an autonomous mode, returning to the charging base, waiting for charging, charging, returning to their area of ​​responsibility, flying around their area, etc. etc. An operator works in the charging area, to which the UAVs should not approach less than a certain distance. The system is presented as a multi-channel queuing system (in the charging area). A simulation model is constructed that allows, according to the data of many runs, to construct polynomial regression dependences of the quality indicators of the MRTS operation on its parameters, by which to solve the multicriteria problem of choosing the optimal parameters of the MRTS charging terminal.

Keywords: cobots, simulation, unmanned aerial vehicles, queuing system, regression equations, optimization

An approach to solving the problem of the distribution of forces and means (CMS) in those situations when the dispatcher of the city's fire garrison receives almost simultaneously (on a short time interval) several fire calls is proposed. Fire trucks of various specializations and other equipment of fire and rescue units are subject to distribution. A transport problem (TZ) is proposed as a formal model for the optimal distribution of C&S by calls. However, to use it, it is necessary to know the payment function (transport table), reflecting indicators of various types, which a priori cannot be reliably set. To overcome this uncertainty, it is proposed to use a structured expert procedure presented in the form of a detailed algorithm. The operation of the algorithm is illustrated with a model example.

Keywords: transport model, optimal distribution, objective function, linear programming problem, pairwise comparisons, ranking, distribution plan

An algorithm for planning work in a group of autonomous mobile robots performing the functions of eliminating the consequences of fires or emergency situations (ES) is proposed. Such a multi-agent robotic system (MRTS) should work effectively without the direct participation of an operator performing the functions of a decision maker (DM). The autonomy of the MRTS is due to the emergency conditions with foci of infection, dangerous for the stay of people. The paper proposes an approach and a corresponding algorithm for constructing a machine-learning model that solves the problem of optimal current planning for emergency response operations for MRTS, where an experienced decision-maker is the teacher.

Keywords: mobile robots, work area, job distribution, limited resources, linear programming problem, optimal planning, constraints

The transition of a fire from one phase to another is represented by a change in the states of the Markov chain. The phases of free combustion, extinguishing and elimination of consequences are considered. The initial data for constructing a Markov model is a sample of observations of response time indicators. Recursive expressions are constructed for estimating the transition probability matrix of the Markov chain. The predictive capabilities of the constructed Markov model of the fire development process are illustrated.

Keywords: fire phase, Markov chain, transition probability matrix, termination probability, recurrent estimation, vector of initial probabilities, prediction

A method for indirect assessment of the effectiveness of the use of internal and external checks of the readiness of units of the State Fire Service to fulfill the tasks of responding to calls is proposed. The potential for efficiency gains is assessed by reducing various types of damage through improved response rates. The initial data for the assessment are statistical data on the temporal characteristics of the response of fire departments to calls, which are approximated by a gamma distribution. The estimation takes into account the regression dependences of damage on response indicators.

Keywords: control, damage, response time, gamma distribution, quantile, efficiency improvement potential