Dynamic machining control and scheduling for multiple production projects in a deterministic period

The dynamic material removal rate (MRR) control is the goal to optimize machining operations in the computer numerical controlled (CNC) machining systems. In this paper, we not only dynamically motivated the MRR into the proposed mathematical model to minimize the machining cost as well as determine the production due-dates of multiple single-tool machining projects in a deterministic production period, but also employed Calculus of Variations to manipulate the machining control task in accomplishing the optimum solution. Additionally, the decision criteria for selecting the dynamic solution and the sensitivity analyses for critical variables in the optimal solution are completely discussed. This study exactly explores the very promising solution to dynamically arrange the MRR in minimizing the machining cost for multiple machining projects in a given production period, and comprehensively schedule the due-dates of multiple single-tool machining quantities for production engineers in today's machining industry with profound insight.