Sets and indices
Oset of electricity coal loading ports, oO
Dset of electricity coal unloading ports, dD
Tset of operating years, tT
Sset of owned ships, sS
Parameters
qo,dtannual average demand of electricity coal from loading port o to unloading port d in the tth year
γsestimated residual value rate of ship s
lsestimated available life of ship s
wtactual cargo capacity of own fleet in the tth year
Gspurchasing price of ship s
Kaverage cargo carrying capacity of unit owned fleet
Γtaverage voyage time of unit own fleet in the tth year
δstindicator of whether the ship is still in operation in the tth year
{cts1,cts2,cts3,cts4,cts5,cts6,cts7}ship's operating costs in the t th year, representing the crew's wages, insurance premiums, insurance and indemnity fees, ship maintenance fees, ship moisturizing fees, ship material fees and management fees in the tth year
{cto8,ctd9}port charges of the loading port and the unloading port in the tth year
χt1refueling amount of heavy oil in the tth year
χt2refueling amount of light oil in the tth year
μtopportunity loss ratio of own fleet in the tth year
ξ˜t1expected price of heavy oil in the tth year
ξ˜t2expected price of light oil in the tth year
F˜texpected coal freight rate in the tth year
Decision variable
Rtproportion of self-owned fleet capacity in year t
Derived variables
Ct1annual capital cost of self-owned ship
Ct2operating costs of self-owned ship in the tth year
Ct3voyage costs of self-owned ship in the tth year
Ct4rental cost of chartered vessels in the tth year
Ct5opportunity loss for self-owned capacity in the tth year
xtoptimal capacity of electricity coal for self-owned fleet in year t
ytoptimal capacity of electricity coal for chartered ships in year t
ηtoptimal number of ships in the self-owned fleet in year t

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