Research Article

Incorporating a Bayesian Network into Two-Stage Stochastic Programming for Blood Bank Location-Inventory Problem in Case of Disasters

Table 3

Model parameters.

SymbolDescription

Deterministic parametersΦThe number of periods in planning horizon
TTime interval of each period
eUnit transportation fee (RMB/ km•U, U is the abbreviation of blood Units. 1 Unit equals 200 ml)
vThe velocity of transportation (km/h)
αDemand service level (confidence level)
riInventory holding cost per unit of blood bank i (RMB/U•h)
ciFixed construction cost of blood bank i (RMB)
uhInventory holding cost per unit of hospital h (RMB/U•h)
tkiTransportation time from donor point k to blood bank i (h)
tihTransportation time from blood bank i to hospital h (h)
disnhDistance from potential disaster point n to hospital h. (km)
laLifespan of blood product a (h)
fkabSupply capacity of blood product a with type b in donor point k (U)
dhabDaily demand for blood product a with type b per hour in hospital h(U/h)
1 if blood type is able to substitute type b, 0 otherwise.
TThe continuous blood transfusion time in the first-time treatment (h)

Stochastic parameterspsProbability of scenario s(∈S)
Transportation time from the actual disaster point to hospital h under scenario s(h)
1 if hospital h is available to the injured under scenario s, 0 otherwise.
1 if the injured are sent to hospital h under scenario s, 0 otherwise.
Emergency demand for blood product a with type b under scenario s (U/h)