Modeling and Assessment of Production Cycle Information Entropy Under Joint Activities

Abstract

Development of optimal interaction scenario of industrial facilities under joint activities is a problem requiring taking into account strategic planning and tactical coordination of goals and scenarios of participants of production cycle. The collaborative scenario is proposed to be presented as an interrelated set of scenarios of participants resulting in a common strategy by eliminating contradictions and fixing common goals. Objective functions of joint activities and criteria for achieving them are formulated. Balanced scorecard of an enterprise is created and used for joint activities monitoring and control as well as dynamic assessment of goal achievement, harmonization and correction of operational plans at all stages of production cycle. A model and a method of assessing the degree of trust in operational processes of participants are developed along with subsequent control measures in case of deviation from the interaction scenario. The model and the method are illustrated by numerical modeling example of optimization of inventory nomenclature to be purchased. The space of states of the process under investigation is formed and transition probabilities are determined as a solution of corresponding Kolmogorov’s system of differential equations. Information entropy is calculated and compliance of the parties of joint activities is estimated according to the method of Nikolayev-Temnov. Modeling results confirm the correlation between entropy growth and compliance decrease and, as a result, performance sustainability degradation. Monitoring entropy can serve a tool of joint production cycle maintenance.