Optimal organization of multi-profile production

Abstract

Abstract The effectiveness of the use of modern production equipment to a large extent depends on its workload. However, it is impossible to manufacture only one type of product; therefore, production becomes multi-profile, the role of coordinating it with the market increases. Both the market and the production process are stochastic, so the probabilistic agreement of these two processes on the basis of the Kolmogorov equation in the canonical form is considered. The level of coordination is estimated by the difference in the probability density that the market price for a given product exceeds the level of its production cost using the technology implemented in multi-production. 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 consumes control resources. The optimal allocation of these control resources in the preparation of technologies can significantly improve production efficiency. Of practical significance is the revealed fact that the dependence of control actions on time is exponential: the value of organizational control resources decreases as it moves away from the moment when demand for this type of product arises. Dependence on demand is logarithmic and the value of organizational control resources increases with increasing demand for this type of product.