Optimization of fuel injection in GDI engine using economic order quantity and Lambert W function

The present work evaluated the suitability of economic order quantity (EOQ), commonly used in supply chain management and process optimization, for combustion in Gasoline Direct Injected (GDI) engines. It identified appropriate sub-models to draw an analogy between the EOQ for melon picking and fuel injection in GDI engines. It used experimental data from in-cylinder combustion processes for validating the model. It used peak cylinder pressure and indicative mean effective pressure for validating the model; the R2 value for linear correlation between the experimental value and the estimated value is 0.98. This work proposes that the EOQ based on Lambert W function could be employed for optimizing the fuel quantity in GDI engines for real-world fuel economy.