Mathematical model and methodology for assessing the structural observability of a knowledge management system: A practical case study at United Engine Corporation (UEC)
Abstract
In the context of digital transformation, knowledge management has become a critical factor in the sustainable development of organizations; however, the state of Knowledge Management Systems (KMS) often remains poorly formalized and largely unobservable. A research gap exists in the lack of formalized models capable of diagnosing KMS states based on indirect measurements. This study aims to adapt and validate a mathematical framework of structural observability for diagnosing latent states of a KMS using a limited set of indirect measurements derived from expert data. Observability is herein conceptualized as the structural identifiability of a static measurement model, enabling the unique reconstruction of the latent state vector based on expert-specified structural linkages. The methodology integrates principles of structural observability, expert-based verification of causal relationships among state variables, and the weighted least squares (WLS) estimation technique. To enhance estimation reliability, the procedure incorporates dimensionality reduction of the linkage matrix (via aggregation of highly correlated variables) and calibration of the weighting matrix based on the consistency analysis of expert judgments. The primary scientific contribution lies in the adaptation of structural analysis, expert identification, and linear estimation methods to the KMS diagnostic problem, demonstrating the feasibility of recovering internal KMS states from a limited measurement set using expert data. The model’s practical validation at an industrial enterprise reveals that the key observable factors of the KMS are knowledge formalization, knowledge-sharing intensity, and knowledge-sharing culture. Limitations in the observability of absorptive capacity and knowledge relevance within the employed measurement framework are identified. The practical significance of the study is to provide organizations with a quantitative auditing tool for KMS and a data-driven framework for optimizing monitoring systems.
Acknowledgments
The authors express their gratitude to the managers and specialists of United Engine Corporation (UEC) who participated in the expert assessment within the framework of this study. Their profound knowledge, practical experience, and valuable judgments on organizational mechanisms of knowledge management served as the foundation for the construction and validation of the model, ensuring the reliability and practical significance of the results obtained. The authors also sincerely thank the anonymous reviewer, whose comments and recommendations made it possible to significantly improve the quality of the work and refine its key propositions.
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