The purpose of the article is to define the role, place and possibilities of the adaptive approach in library management within the framework of practical implementation of the concept of sustainable innovative development of the library industry; to study the reasons for applying adaptive management methods in libraries. Research methods. The following methods and approaches were used: general scientific methods of cognition, in particular, analysis and synthesis, abstract and logical, monographic and analytical, decomposition and systematic approach. Using these methods ensured the validity of the provisions of this study. The scientific novelty lies in creating a holistic view of the features, trends and factors of the adaptive approach in library management. Conclusions. A system is considered adaptive if it can adapt to changes in internal and external conditions. Such a system remains operational in the event of unforeseen changes in the properties of the managed object, management goals, or environmental conditions by changing its functioning algorithm, behavioural programme, or search for optimal states. The task of adaptive library management is to keep the library as a system and its processes within the specified limits. The adaptive management system assesses the state of the process within the limits of permissible fluctuations and determines the need for corrective adaptation measures. Fluctuations in the processes of a library institution are expressed in terms of library production. Thus, the use of adaptive management methods meets the practical tasks of sustainable innovative development of the library industry and can be used in the library management tools for its implementation. An adaptive approach to library management is possible in the following cases: a) a developed forecasting system for prompt monitoring of the current situation of the library; b) the possibility of promptly changing plans if they no longer correspond to the new reality; c) an effective system of operational management accounting and control.
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