Mathematical modeling of the efficiency indicator of the functioning of the transport and production system in the conditions of the quarry of a metallurgical enterprise

The study of the operation of quarry vehicles made it possible to form the target function of the study, taking into account the criterion of the efficiency of all processes of the system, which provides for the reduction of costs for the operation of the transport and production system of the quarry of a metallurgical enterprise, namely, the subsystems: “Incoming raw materials”, “Processing of raw materials”, “Sales of raw materials”. Factors influencing the cost indicator are highlighted. These factors include the production downtime of motor vehicles, the speed of motor vehicles with cargo, and the speed of motor vehicles without cargo. The values of these factors were obtained in result of timing the operation of motor vehicles on technological routes for four days. The levels of variation intervals and the nature of their changes for the three regimes were calculated for each of the subsystems. A regression analysis of the investigated factors was carried out to model the costs. The response surfaces of the obtained mathematical models are constructed, namely: the influence of the production downtime of motor vehicles and the speed of movement without cargo on the costs of functioning of subsystems, the influence of production downtime of motor vehicles and the speed of movement with cargo on the costs of the functioning of subsystems, the influence of the speed of movement with cargo and speed of movement without cargo for the costs of functioning of subsystems. The optimal values for reducing the cost of functioning of the “Processing of raw materials” subsystem are the value of production downtime – 4-5 min., the speed of motor vehicles without cargo – 9 min., and the speed of motor vehicles with cargo – 9 km/h. The optimal values for reducing the cost of functioning of the “Sales of raw materials” subsystem are the value of production downtime – 4-6 min., the speed of motor vehicles without cargo – 14-16 min., and the speed of motor vehicles with cargo – 13-15 km/h. The optimal values for reducing the cost of functioning of the subsystem “Incoming raw materials” are: the value of production downtime is 4-5 minutes, the speed of motor vehicles without cargo is 7-8 km/h, the speed of motor vehicles with cargo is 10 km/h.