Performance analysis and quality control of serial production system

Abstract

In this paper, we suggest a performance analysis and design method for an asymptotically reliable serial production system. The performance is approximated by an asymptotic technique and Taylor series expansion. Using a quality control device and feedback buffer, we present several control schemes to reduce waste materials and enhance the performance. An open-loop system is that its throughput is controlled only by a QCD. And there are two feedback systems, an old-first system and old-last system. The approximation is validated by a simulation and case study. The results seem to have an acceptable $O(\varepsilon^2)$ error.