Non-cooperative game decision for capacity evaluation under output demand uncertainty

In order to solve decision problem for maximum production capacity of different products under output demand uncertainty, the non-cooperative game theory was introduced to describe competition relationship between various products for shared manufacturing resources. Firstly the production line model is built based on complex network, which the manufacturing resources was aggregated to manufacturing vertices and the process relationships was described as directed edges between vertices. Secondly the production capacity was evaluated through process analysis on running process of production line and manufacturing vertices, which available capacity and duty load of vertices were defined. Then the definition about Nash equilibrium was presented in course of solving maximum capacity. Finally an aero-engine casing production line was regarded as the research object. Then the optimal production capacity under output demand uncertainty is obtained. The effectiveness and feasibility of game decision model are proved.