Sets
$e$	Set of donor groups ,$e=\{1,\cdots ,E\}$
$i$	Set of candidate locations for CCs,$i=\{1,\cdots ,I\}$
$j$	Set of candidate locations for PCs,$j=\{1,\cdots ,J\}$
$k$	Set of hospitals,$k=\{1,\cdots ,K\}$
$g$	Set of ages of platelets,$g=\{1,\cdots ,G\}$
$t$	Set of time periods, $t=\{1,\cdots ,T\}$
$w$	Set of fractionation processes,$w=\{1,\cdots ,W\}$
Parameters
${\alpha }_{\mathit{iw}}$	Cost of collecting whole blood from a donor by collection process $w$ in CC $i$
$\xi$	Fixed cost of assigning a donor group to a CC
${\chi }_{\mathit{ei}}$	Distance between donor group $e$ and CC$i$
$\mathrm{\Delta }$	Maximum coverage radius of CCs to serve donors
${\mathrm{\Gamma }}_e$	Maximum number of eligible whole blood donors in donor group $e$
$\beta$	Fixed cost of a CC establishment
${\beta }^{\text{'}}$	Fixed cost of each capacity package added in CCs
${\gamma }_{\mathit{ij}}$	Cost of transporting a whole blood unit from CC $i$ to PC $j$
${\delta }_w$	The number of obtained whole-blood-derived platelet units from a donor by collection process$w$
$\epsilon$	The capacity of each assigned package to CCs
$\rho$	Maximum allowable transportation time between CCs and PCs (hours)
${\upsilon }_{\mathit{ij}}$	1, if transportation time between CC $i$ and PC $j$ is less than or equal to $\rho$; 0, otherwise
$\zeta$	Fixed cost of a PC establishment
${\zeta }^{\text{'}}$	Fixed cost of each package capacity added in PCs
${\eta }_{\mathit{jk}}$	Cost of transporting a whole-blood-derived platelet from PC $j$ to hospital $k$
$\theta$	Inventory cost of a whole-blood-derived platelet unit in PCs
$\vartheta$	The production cost of a whole-blood-derived platelet unit in PCs
$\mu$	Wastage cost of a whole-blood-derived platelet unit in PCs
$\varrho$	Shortage cost a whole-blood-derived platelet unit in hospitals
$\lambda$	The capacity of each package added to PCs
$\tau$	Maximum allowable transportation time between PCs and hospitals (hours)
${\sigma }_{\mathit{jk}}$	1, if transportation time between PC $j$ and hospital $k$ is less than or equal to $\tau$; 0, otherwise
${\phi }_{\mathit{jg}}^t$	The available amount of whole-blood-derived platelet units of age $g$ in PC $j$ at period$t$
$\mathrm{\Omega }$	Discard rate of collected whole blood in PCs
$D_k^t$	Demand for platelet in hospital $k$ at period$t$
$M$	A large number
Decision variables
$U_{\mathit{ei}}^t$	1, if donor group $e$ is assigned to CC $i$ at period $t$; 0, otherwise
$X_{\mathit{ei}}^t$	Number of persons of donor group $e$ whose blood is collected in CC $j$ at period $t$
${X\text{'}}_{\mathit{eiw}}^t$	Number of persons of donor group $e$ whose blood is collected in CC $j$ via collection process $w$ at period$t$
$F_i$	1, if a CC is established in location $i$; 0, otherwise
${F\text{'}}_i^t$	Number of allocated capacity packages to CC $i$ at time period$t$
$P_{\mathit{ijw}}^t$	Number of donors whose blood are collected via collection process $w$ in CC $i$ and will be processed in PC $j$ at time period $t$
$V_j$	1, if a PC is established in location$j$; 0, otherwise
${V^{\text{'}}}_j^t$	Number of allocated capacity packages to PC $j$ at time period$t$
${Y\text{'}}_{\mathit{jkg}}^t$	The proportion of maximum demand for platelet of age $g$ in hospital $k$, which will be satisfied by the transferred whole-blood-derived platelets from PC $j$ at period$t$
$Q_j^t$	Number of processed whole-blood-derived platelet units in PC $j$ at period$t$
$W_j^t$	Wastage level of whole-blood-derived platelet in PC $j$ at period$t$
$R_{\mathit{jg}}^t$	Inventory level of whole-blood-derived platelet of age $g$ in PC $j$ at period$t$
$N_k^t$	Shortage level of platelet in hospital $k$ at period$t$