**Appendix A**

$$EEDI = \frac{A + B + C - D}{E} \tag{A1}$$

• Main Engines Emissions: Factor *A*

$$A = \left(\prod\_{j=1}^{m} f\_j\right) \left(\sum\_{i=1}^{n} P\_{ME(i)} \varepsilon\_{FME(i)} \,\mathrm{SFC}\_{ME(i)}\right) \tag{A2}$$


*PME* Power of main engines.

*CF ME* Main engine conversion factor between fuel consumption and CO2 emission.

*SFCME* Main engine specific fuel consumption.

• Auxiliary Engines Emissions: Factor *B*

$$B = \left(P\_{AE} \mathcal{c}\_{FAE} \, S \mathcal{F} \mathcal{C}\_{AE}\right) \tag{A3}$$

*PAE* Power of auxiliary engines.

*cF AE* Auxiliary engine conversion factor between fuel consumption and CO2 emission.

*SFCAE* Auxiliary engine specific fuel consumption.

• Generators/Motors Emissions: Factor *C*

$$\mathcal{C} = \left( \left( \prod\_{j=1}^{m} f\_j \sum\_{i=1}^{n} P\_{PTI(i)} - \sum\_{i=1}^{n} f\_{eff(i)} P\_{AEeff(i)} \right) \mathcal{c}\_{FAE} \mathcal{SFC}\_{AE} \right) \tag{A4}$$

*fi* Correction factor for ship specific design elements. *PPTI* Power of shaft motor divided by the efficiency of shaft generator. *feff* Availability factor of innovative energy efficiency technology. *PAE ef f* Auxiliary power reduction due to individual technologies for electrical energy efficiency.*cF AE* Auxiliary engine conversion factor between fuel consumption and CO2 emission. *SFCAE* Auxiliary engine specific fuel consumption.

• Efficiency Technologies: Factor *D*

$$D = \sum\_{i=1}^{n} f\_{eff(i)} P\_{eff(i)} \text{ c}\_{FME} \text{ SFC}\_{ME} \tag{A5}$$

*feff* Availability factor of innovative energy efficiency technology. *Peff* Output power of innovative mechanical energy efficient technology. *CF ME* Main engine conversion factor between fuel consumption and CO2 emission. *SFCME* Main engine specific fuel consumption.

• Transport Work: Factor *E*

$$E = f\_i \, f\_{\mathcal{C}} \, \mathbb{C}\_p \, V\_{ref} \, f\_w \tag{A6}$$


$$\mathbf{APPendix \to}$$

$$EEOI = \frac{\sum\_{j} F\_{\bar{j}} \mathbf{c}\_{F(j)}}{m\_{\text{c}} D} \tag{A.7}$$

*j* Fuel type.

