Economic and Mathematical Model for Assessing Synergetic Effect of Lean Production and Digitalization Joint Implementation on Industrial Enterprise

Modern industrial enterprises face the need to increase operational efficiency through process optimization. This is defined by growing international competition, the accelerating pace of technological change, and the need for manufacturing organizations to adapt to dynamic market conditions. In these conditions, lean production and digital technologies form the basis for achieving sustainable economic growth and increasing competitiveness in the global commodity market. Lean production, aimed at eliminating losses, improving processes and increasing value for the end user, as well as modern digital technologies such as big data, artificial intelligence and the Internet of Things, create additional opportunities for increasing the economic efficiency of the enterprise, allowing automating routine tasks, improving resource management by increasing flexibility and decision-making efficiency. Numerous studies confirm that the isolated implementation of lean production or digitalization makes a significant contribution to reducing losses and increasing productivity. At the same time, their joint use can create a synergistic effect that will allow achieving additional improvements in the economic performance of the enterprise due to the flexibility of processes, high product quality and cost reduction. Despite this, the issue of assessing the synergetic effect of the joint integration of lean production and digitalization remains insufficiently studied. Most studies focus on various aspects of the individual application of these approaches, while forecasting and quantifying their combined application are practically not considered in the literature. The lack of mathematical models that take into account the mutual impact of lean production and digitalization makes it difficult to plan and optimize their implementation, especially in enterprises where these tools have already been partially implemented. Based on the analysis of existing approaches to assessing the synergetic effect, the article develops an economic and mathematical model for assessing the synergetic effect in the joint implementation of lean production and digitalization in an industrial enterprise. The limitations of the model have been identified, compliance with which will allow achieving positive synergy. The proposed model is a necessary tool for assessing the growth potential of an organization’s economic efficiency, improving forecasting accuracy, and justifying a strategy for implementing digital lean production based on the specific operating conditions of enterprises and ensuring the long-term sustainable development of the Russian industry

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