Rudenskaya V. Economic and mathematical modelling of coordination processes in project management system

Object of research: coordination processes in project management system under conditions of unstable econ-omy. Purpose of research: development of theoretical basis, models and methods of coordination in project management system under conditions of unstable econ-omy. Methods of research: system analysis, economic and mathematical modelling, coordination theory, fuzzy set theory. Results: processes taking part in the project management systems are classified, relations between them are determined, generalised critical analysis of mod-ern models and methods used in project management sys-tems is suggested; conception of coordination processes organisation in project management system is proposed; model complex for synthesis of hierarchical project man-agement system and organisation processes in project management system is developed; approaches to model-ling of project's states are grounded; basic uncertainties arising during project coordination are analysed, and the necessity of fuzzy set use is proven; fuzzy estimation of ability to be coordinated and controlled is proposed; for-mal estimation of ability to be coordinated for processes in project management system are developed; fuzzy critical route, fuzzy critical task and fussy reserve are formalised; tools for implementation of hierarchical adaptive project management system is proposed; technique for solution and implementation of the problem of workflow manage-ment for single task is determined. Novelty: conception of coordination processes organisation in project manage-ment system in which for the first time it is proposed to organise a project management system with the respect to viable system theory, what is allowing to rise the effi-ciency of management system due to on-line coordination and respective autonomy of functional subsystems in the project; model complex for organisation of processes in management system with the formal approach to determi-nation of node-sets allowing to increase the efficiency of single processes due to determination of unrelated task complexes; models of coordination processes organisation in which for the first time it is used workflow manage-ment for task implementation and operations for their in-ter-level coordination; estimation models of ability to be coordinated and controlled for single processes and tasks and fuzzy model for project implementation dynamics, where fuzzy estimations of ability to be coordinated, con-trolled and critical for single task complexes are deter-mined. Field of use: interindustrial.