关键词: 产量, 需求不确定, 生产线, 产品组合, 非合作博弈, Nash均衡

Abstract: To solve decision problem for production line of different product mix under output demand uncertainty, the non-cooperative game model was introduced to describe competitive relationship among various products for manufacturing resources. Then, through all products pursuit of their own maximal output, maximum utilization of production line and manufacturing resources were realized. And the judging basis for output mix feasibility and solving approach on maximal output in mixed production line were proposed based on load rate of bottle-neck unit. In the process of solving maximum output mix, the definition and search algorithm of Nash equilibrium were put forward. Finally, an aero-engine casing production line was taken as the research object, then the optimal product mix of two given examples under output demand uncertainty was obtained. By comparing to integer programming, genetic algorithm and tabu search, effectiveness and feasibility of game model were proved.

Key words: output, demand uncertainty, production line, product mix, non-cooperative game, Nash equilibrium