A state-space model for serial manufacturing systems

A state-space model for serial manufacturing systems is presented. The model considers a single-input-single-output system configuration. Buffer dynamics and jumping characteristics are modelled explicitly which allow easy tracking of work-in-process. Blocking and starving phenomena are modelled via general expression of machining rate equations. Simulation results show that the model can predict blocking and starving due to full and empty buffer respectively. The model can be used to study the sensitivity of system performance, e.g. throughput, job completion time, to buffer size and machining rates. It can also serve as a set of basic equations for optimizing the system performance, e.g. determining the minimum work-in-process.