Иван Котляров
Introduction. Sustainable performance of an industrial enterprise implies that the structure of incoming resources corresponds to production requirements, along with the rhythm of output throughout the different phases of production activity. Quantitative assessment of these parameters should be based on relevant indicators. Unfortunately, the currently used set of metrics is incomplete and has certain methodological problems. Specifically, there is no indicator of the degree to which the resources received correspond to the needs of the enterprise, and the rhythmicity index used to assess the planned production does not take into account all the factors affecting the deviation of actual output from planned values. The objective of this study is to develop a set of indicators that would determine the conformance of actual supplies with the current needs of the enterprise, and would also more fully characterize the rhythm of the production process. Materials and Methods. The study used a non-systematic review of sources to identify problems inherent in currently used approaches to assessing the production and logistics activities of an industrial enterprise. To synthesize indicators of conformance of purchased resources with production needs and determine the rhythm of production, set theory methods were used. From a theoretical perspective, the work is based on methods for constructing measures of similarity of sets, as well as on the theory of production organization. Results. This paper proposes an integral indicator for assessing the degree to which actual material resource deliveries meet enterprise needs (in terms of product range and quantity). The paper also defines a modified rhythmicity index of production , which is used to verify the alignment of actual output with planned targets, while also accounting for the impact of above-plan volumes on the rhythm of the enterprise operations . The research demonstrates that the methodology for calculating the modified rhythmicity index is free from the shortcomings inherent in existing approaches. Discussion. The indicators obtained in the course of the study are universal. They can be used not only to assess the quality of an enterprise procurement logistics, but also to analyze the consistency of various stages of the production process, as well as to evaluate the industrial enterprise cooperation with external customers. It has been shown that the implementation of digital technologies is of great importance for improving the relevant characteristics of the production and logistics activities of the enterprise. Moreover, the data obtained can be used to justify the feasibility of digital transformation of the enterprise. The proposed methods for assessing the conformance of actual supplies with enterprise needs and calculating the modified production rhythmicity index are based on a new approach to calculating the Jaccard index. This new version of the Jaccard index can be called the normalized Jaccard index. It should be used to assess the similarity of descriptive sets for which qualitative differences between elements (specifically, those of different dimensions) are of importance. These sets can be described as descriptive immiscible sets. Conclusion. The indicators introduced in the present paper make it possible to improve the quality of assessment of the production and logistics activities of an industrial enterprise, as they make it possible to determine the extent to which the composition of acquired resources meets production needs and more fully account for the impact of various factors on the rhythm of production. Recommendations for using the proposed indicators to assess the quality of production and logistics activities of industrial enterprises are provided.