Improving efficiency of flexible manufacturing system based on optimal readiness of technologies

The efficiency of using flexible manufacturing systems (FMS) depends on their workload. However, in order for the FMS not to work for the warehouse, it is necessary to coordinate its production with the requirements of the market. Both the market and the production process are stochastic, so the probabilistic matching of these two processes based on the Kolmogorov equation is considered in the paper. The level of approval is estimated by the difference in the probability density of the market price for a product exceeding the level of its production cost using the technology implemented in FMS. The latter probability density assesses the readiness of technologies for implementation, including the availability of raw materials, materials, energy, serviceable equipment and devices – all of this is spent on managing resources. The optimal allocation of these control resources in the preparation of technologies can significantly improve the efficiency of FMS. Of practical significance is the identified logarithmic relationship between the probability density of the demand for this product on the market and the probability density of the readiness of the technology implemented in this FMS for the production of this product in the required amount and allocated financial means to improve this readiness.