Mathematical model of fixed assets’ joint use by the machine-building enterprises

Abstract

High competition in the markets of goods and services makes it urgent to improve the efficiencyof the use of production assets by the enterprises. One of the possible ways to solve the problem is joint use of the assets by different subjects. The use of this mechanism in the various branches grows rapidly in the last decade due to the opportunities for aggregation of supply and demand and automated contracting provided by the modern digital technologies. The basis for production asset management systems based on sharing is a mathematical model that allows determining the optimal modes of asset use in terms of their utilization, reducing the total cost of ownership and obtaining additional operating profit. This article considers a mathematical model of a multi-product spatially distributed production system that reflects the features of the activities of machine-building enterprises and assumes the possibility of joint use of their fixed assets. Economic and social criteria for the efficiency of fixed assets sharing are formulated in terms of maximizing the profit of enterprises, minimizing logistics and downtime costs. The optimal modes of joint use of the fixed assets concerning these criteria are investigated. It is shown that the joint use of fixed assets under the certain conditions can significantly improve the efficiency of the operating activities of enterprises.