Stability Analysis of Emission-based Production and Inventory Control Systems (EPICS)

An Emission-based Production and Inventory Control System (EPICS) is proposed, as an extension of the classical Automatic Pipeline, Inventory and Order Based Production Control System (APIOBPCS) model. EPICS assumes an emission permit, along with customer demand (as in classical case) as exogenous variable inputs, creating a Multiple Input Single Output (MISO) system. Adjustment to ordering (replenishment) also involves weightage to system emission-level as feedback. Stability Analysis is performed on EPICS model using Bounded Input Bounded Output (BIBO) stability, and the system is solved for specific scenarios. Simulations are performed to understand dynamics. Higher weightage to WIP-adjustment helps in emission reduction significantly. Initial analysis suggests that operational adjustments are not sufficiently enough to reduce the system emissions.