Table I.

Numerical data

ParameterValueSource(s)
Bunker consumption coefficients: α,γα = 3,
γ = 0.012
Du et al. (2011), Wang and Meng (2012b), Psaraftis and Kontovas (2013) 
Unit HFO cost: βHFO (USD/ton)300Fagerholt and Psaraftis (2015) 
Unit MGO cost: βMGO (USD/ton)600Fagerholt and Psaraftis (2015) 
Weekly operational cost of a vessel: cOC (USD/week)300,000Wang and Meng (2012a, 2012b, 2012c) Dulebenets (2015, 2016),
Delayed arrival penalty: ciLT (USD/hours)U [5,000; 10,000]Zampelli et al. (2014) 
Unit inventory cost: μ (USD per TEU per hour)1Wang et al. (2014), Dulebenets et al. (2015a) 
Percent of sulphur in MGO: PMGO (%)0.1Psaraftis and Kontovas (2013), Kontovas (2014) 
Percent of sulphur in HFO: PHFO (%)3.5Psaraftis and Kontovas (2013), Kontovas (2014) 
Duration of TW (hours)U [24; 72]OOCL (2016) 
Minimum sailing speed of a vessel: vmin (knots)15Wang and Meng (2012a, 2012b, 2012c) 
Maximum sailing speed of a vessel: vmax (knots)25Wang and Meng (2012a, 2012b, 2012c) 
Maximum quantity of deployed vessels: qmax15Wang and Meng (2012a, 2012b, 2012c) 

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