Optimum Operation Control for Multiple Machining Projects under Fixed Production Interval

The dynamic MRR control is the goal to optimize machining operations in the CNC machining systems. The concentration on the minimum-cost machining control with material removal rate (MRR) grows up in the computer-based machining industry. In this paper, the mathematical modeling with dynamic MRR control to minimize the machining cost as well as schedule the due-dates for multiple machining projects within a given production period is established. The optimum solution in manipulating the dynamic optimization task as well as the completeness and optimality of the solution are accomplished through Calculus of Variations. Moreover, the decision criteria for selecting the dynamic solution and the sensitivity analyses for key variables in the optimal solution are fully discussed. This study exactly explores the very promising solution to not only dynamically motivate the MRR in minimizing the machining cost, but also comprehensively schedule the due-dates for multiple machining quantities within a deterministic production period for both machine tool manufacturers and operations researchers.