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. 2022 May 19;29(46):70285–70304. doi: 10.1007/s11356-022-20713-0
Value for case study Unit
ddrpts Demand in retailer r for commodity p in period t under scenario s, (s-1).40 + U(20,60) Number
Costs:
fii Activation cost for supplier i, U(1,2).1000

Thousand

Dollars (TDollar)

fmm Activation cost for manufacture U(4,5).10000 TDollar
fdd Activation cost for DC d, U(3,4).1000 TDollar
frr Activation cost for retailer r, U(1,2).1000 TDollar
fuu Activation cost for collection centers u, U(2,3).1000 TDollar
fkk Activation cost for repairing centers k, U(2,3).1000 TDollar
fee Activation cost for disposal centers e, U(1,2).1000 TDollar
vimimpts Variable cost for shipment from supplier i to manufacture m for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vmdmdpts Variable cost for shipment from manufacturer m to DC d for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vdrdrpts Variable cost for shipment from DC d to retailer r for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vrurupts Variable cost for shipment from retailer r to collection centers u for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vukukpts Variable cost for shipment from collection centers u to repairing centers k for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vkekepts Variable cost for shipment from repairing centers k to disposal centers e for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vkmkmpts Variable cost for shipment from repairing centers k to manufacturer m for commodity p in period t under scenario s, U(3,4)/1000 TDollar
vkvkvpts Variable cost for shipment from repairing centers k to second customers v for commodity p in period t under scenario s, U(3,4)/1000 TDollar
Energy:
eii Fix energy consumption for supplier i, U(0.4,0.5)/3 Mega Watt (MW)
emm Fix energy consumption for manufacture m, U(5,6)/3 MW
edd Fix energy consumption for DC d, U(0.4,0.5)/3 MW
err Fix energy consumption for retailer r, U(0.4,0.5)/3 MW
euu Fix energy consumption for collection centers u, U(0.4,0.5)/3 MW
ekk Fix energy consumption for repairing centers k, U(0.4,0.5)/3 MW
eee Fix energy consumption for disposal centers e, U(0.4,0.5)/3 MW
eimimpts Variable energy for forward quantity from supplier i to manufacture m for commodity p in period t under scenario s, U(2,3)/100/3 MW
emdmdpts Variable energy for forward quantity from manufacturer m to DC d for commodity p in period t under scenario s, U(2,3)/100/3 MW
edrdrpts Variable energy for forward quantity from DC d to retailer r for commodity p in period t under scenario s, U(2,3)/100/3 MW
erurupts Variable energy for backward quantity from retailer r to collection centers u for commodity p in period t under scenario s, U(2,3)/100/3 MW
eukukpts Variable energy for backward quantity from collection centers u to repairing centers k for commodity p in period t under scenario s, U(2,3)/100/3 MW
ekekepts Variable energy for backward quantity from repairing centers k to disposal centers e for commodity p in period t under scenario s, U(2,3)/100/3 MW
ekmkmpts Variable energy for backward quantity from repairing centers k to manufacturer m for commodity p in period t under scenario s, U(4,5)/100/3 MW
ekvkvpts Variable energy for backward quantity from repairing centers k to second customers v for commodity p in period t under scenario s, U(2,3)/100/3 MW
Emaxts Maximum energy consumption in period t under scenario s, 120 MW
Capacity:
Capiipts Capacity of supplier i for commodity p in period t under scenario s, U(500,600).((s-1)0.0.5 + 1) Num
Capmmpts Capacity of manufacture m for commodity p in period t under scenario s, U(1000,1100).((s-1)0.0.5 + 1) Num
Capddpts Capacity of DC d for commodity p in period t under scenario s, U(200,220).((s-1)0.0.5 + 1) Num
Caprrpts Capacity of retailer r for commodity p in period t under scenario s, U(300,330).((s-1)0.0.5 + 1) Num
Capuupts Capacity of collection centers u for commodity p in period t under scenario s, U(200,220).((s-1)0.0.5 + 1) Num
Capkkpts Capacity of repairing centers k for commodity p in period t under scenario s, U(50,55).((s-1)0.0.5 + 1) Num
Capeepts Capacity of disposal centers e for commodity p in period t under scenario s, U(30,33).((s-1)0.0.5 + 1) Num
Other parameters
ps Probably of scenario s, 1/|S| %
β Conservative coefficient, 50 %
α Confidence level, 5 %
ρ Flow rate to manufacturing from repairing center, 70 %
ρ Flow rate to disposal center from repairing center, 20 %
ρ Flow rate to the second customer from repairing center, 10 %
ρρ Flow rate from supplier to manufacturing 90 %
prii Availability coefficient of supplier i, U(95,98) %
prmm Availability coefficient of manufacture m, U(95,98) %
prdd Availability coefficient of DC d, U(95,98) %
pruu Availability coefficient of collection centers u, U(95,98) %
prkk Availability coefficient of repairing centers k, U(95,98) %
pree Availability coefficient of disposal centers e, U(95,98) %
γ Agility (responsive) rate 85 %
ψ1 Minimum amount of suppliers is needed to activate, 3 Num
ψ2 Minimum amount of distributing centers is needed to activate, 3 Num