An Approximation Solution to Refinery Crude Oil Scheduling Problem with Demand Uncertainty Using Joint Constrained Programming

Table 1

System information.

Scheduling horizon			30
Number of vessel arrivals			9
Vessel	Arrival time	Amount of crude	Concentration of key component 1		Concentration of key component 2
Vessel 1	1	100	0.01		0.04
Vessel 2	4	100	0.03		0.02
Vessel 3	7	100	0.05		0.01
Vessel 4	11	100	0.01		0.04
Vessel 5	14	100	0.03		0.02
Vessel 6	17	100	0.05		0.01
Vessel 7	21	100	0.01		0.04
Vessel 8	24	100	0.03		0.02
Vessel 9	27	100	0.05		0.01
Number of storage tanks			3
Storage tank		Capacity	Initial oil amount	Initial concentration of key component 1	Initial concentration of key component 2
Storage tank 1		100	20	0.0167	0.0333
Storage tank 2		100	50	0.03	0.0225
Storage tank 3		100	70	0.0433	0.0133
Number of charging tanks			3
Charging tank		Capacity	Initial oil amount	Initial concentration of key component 1	Initial concentration of key component 2
Charging tank 1		100	30	0.0167	0.0333
Charging tank 2		100	50	0.03	0.0225
Charging tank 3		100	30	0.0433	0.0133
Number of CDUs				2
Costs involved in vessel operation				Unloading cost: 8, sea waiting cost: 5
Tank inventory costs				Storage tank: 0.05; charging tank: 0.08
Changeover cost for charged oil switch				50
The penalty cost for crude mix shortfalls				0.5