Mathematical Modeling of Workflows in Production Systems

Abstract

This article proposes a new method of modeling active elements in production systems, including formulation of management tasks in hierarchical active systems in the circumstances of unidentifiability of reactions of the lower levels (workers); offers a game-theoretic model of active systems of corrective type; studies the mathematical models of incentives for the personnel in workflows; carries out parameters identification and validation of the basic and applied models; as well as develops a set of specific mathematical models to stimulate the performers of workflows.

Exact Solution of Two-Dimensional Unsteady Airflow in an Inclined Trachea

“…Chong et al (2015) used mathematical models in the medical industry to understand the dynamics of chronic viral infection. Many researchers applied mathematical models to solve problems in different branches of science (Orakbayev et al, 2015;Shangytbayeva et al, 2015;Stroiteleva & Vukovich, 2015;Efimov et al, 2015).…”