Indices
$i$	Set of test kits.
$H$	Set of hospitals
$h\subset H$	Set of Hospitals with incinerators
$h^{\prime }\subset H$	Set of Hospitals without incinerators
$t$	Set of time periods
$r$	Set of candidate locations for the DC
$k$	Set of candidate locations for the landfill
$p$	Set of manufacturers of internal test kits
$p^{\prime }$	Set of suppliers of foreign test kits
Parameters
$T{C}_{pir}$	The cost of transporting a test kit type $i$ from the manufacturer $P$ to the DC $r$ per unit distance
$T{C}_{P^{\prime }ir}$	The cost of transporting a test kit type $i$ from the supplier $P^{\prime }$ to the DC $r$ per unit distance
$T{C}_{riH}$	The cost of transporting a test kit type $i$ from the DC $r$ to the hospital $H$ per unit distance
$T{C}_{h^{\prime }ik}$	The cost of transporting a test kit type $i$ from the hospital $h^{\prime }$ to the landfill $k$ per unit distance
$L{C}_i$	Cost of product landfilling operations $i$
$O{C}_i$	Cost of product burning operation $i$
$PE{C}_i$	The cost of purchasing each Iranian test kit $i$
$PF{C}_i$	The cost of purchasing each foreign test kit $i$
$F{C}_r$	The cost of establishing DC $r$
$F{C}_k$	The cost of establishing landfill center $k$
$D_{iHt}$	The amount of demand for product $i$ in hospital $H$ at period $t$
$EG$	Carbon emission rate of kit incineration
$EV$	Carbon emission rate due to the transporting the kits by vehicle per unit distance
$CC$	The capacity of each vehicle
$CI$	The limited capacity of DC
$D{S}_{pr}$	The amount of distance between manufacturer $p$ and DC $r$
$D{S}_{p^{\prime }r}$	The amount of distance between supplier $p^{\prime }$ and DC $r$
$D{S}_{rH}$	The amount of distance between DC $r$ and hospital $H$
$D{S}_{h^{\prime }k}$	The amount of distance between hospital $h^{\prime }$ and landfill center $k$
$I{C}_i$	The inventory holding cost for product $i$ at each period
$R_{pr}$	Population density rate, in the path of manufacturer $p$ to the DC $r$
$R_{p^{\prime }r}$	Population density rate, in the path of supplier $p^{\prime }$ to the DC $r$
$R_{rH}$	Population density rate, in the path of DC $r$ to the hospital $H$
$R_{h^{\prime }k}$	Population density rate, in the path of hospital $h^{\prime }$ to the landfill center $k$
$C{B}_i$	The penalty cost of shortage for kit $i$ at each period.
$M$	The big number
Decision variables
$Y_r$	If DC $r$ is opened:1; otherwise, 0
$Y_k$	If landfill center $k$ is opened:1; otherwise, 0
$Q_{pirt}$	The number of kits type $i$ transported from the manufacturer $p$ to the DC $r$ at period $t$
$Q_{P^{\prime }irt}$	The number of kits type $i$ transported from the supplier $P^{\prime }$ to the DC $r$ at period $t$
$X_{riHt}$	The number of kits type $i$ transported from the DC $r$ to the hospital $H$ at period $t$
$R{S}_{iht}$	The number of products $i$ that must be incinerated in hospital $h$ at period $t$
$R{D}_{h^{\prime }ikt}$	The number of products $i$ that must be transported from the hospital $h$ to the landfill center $k$ to be buried at period $t$
$I_{rit}$	Inventory level of Kit $i$ in the DC $r$ at the end of each period $t$.
$E_{prt}$	If DC $r$ is assigned to manufacturer $p$ in period $t$ :1 and; otherwise, 0
$E_{p^{\prime }rt}$	If DC $r$ is assigned to supplier $p^{\prime }$ in period $t$ :1 and; otherwise, 0
$E_{rHt}$	If hospital $H$ is assigned to DC $r$ in period $t$ :1 and; otherwise, 0
$E_{h^{\prime }kt}$	If landfill center $k$ is assigned to hospital $h^{\prime }$ in period $t$ :1 and; otherwise, 0
$B_{iHt}$	The amount of shortage for each type of product $i$ in hospital $H$ at period $t$
$N_{prt}$	The number of vehicles used in the rout of manufacturer $p$ to DC $r$ at period $t$
$N_{p^{\prime }rt}$	The number of vehicles used in the rout of supplier $p^{\prime }$ to DC $r$ at period $t$
$N_{rHt}$	The number of vehicles used in the rout of DC $r$ to hospital $H$ at period $t$
$N_{h^{\prime }kt}$	The number of vehicles used in the rout of hospital $h^{\prime }$ to landfill center $k$ at period $t$