Dynamics in production-inventory-assembly manufacturing systems

Extending the approach presented in [1], a mathematical model which describes the interaction between production, inventory and assembly subsystems of a manufacturing process is postulated. The model consists of a set of nonlinear, stochastic, difference equations and contains a set of explicit feedback loops from the state variables (inventory stock levels) to the output of the production subsystem. A set of implicit feedback loops from the final assembly to subassemblies is also present. The normalized output of the final assembly is referred to as the production rate.