Methodological Aspects of Controlling Multilevel Man-Machine Organization Systems

Hierarchical on-line control models for multilevel man-machine organization systems (production and project management systems) are outlined. The models are based on the conception of emergency situations and risk averse on-line control. By using the idea that hierarchical levels can interact only in special situations, the so-called emergency points, one can decompose general and complex multi-level problems of optimal control into sequences of one-level control problems. A hierarchical on-line control model under chance constraint is presented. The model comprises a chance constraint at the upper level and enables at the lower level optimizing both the units' starting time and the resources to be hired. The objective is the average total expenses within the planning horizon while the chance constraint is the minimal permissible probability of meeting the due date on time.