Estimating the number of control points for production systems with variable speeds

The problem of production control under variable speeds with disturbances is introduced. Given the target amount needed, the due date and the amount produced up to a routine control point, the decision-maker determines the proper speed and the next control point so that the number of control points will be minimized. Golenko-Ginzburg and Sinuany-Stern have suggested a heuristic algorithm to solve this problem. In this paper an analytical estimation of the number of control points is obtained under some specific assumptions.