Sets |

$\text{}\mathrm{H},\text{}\mathrm{h}\text{}$ | Set and index of hospitals as well as other sources of medical waste |

$\text{}\mathrm{T},\text{}\mathrm{t}\text{}$ | Set and index of the candidate locations for temporary transit centers |

$\text{}\mathrm{E},\text{}\mathrm{e}\text{}$ | Set and index of existing treatment centers for medical waste |

$\text{}\mathrm{D},\text{}\mathrm{d}\text{}$ | Set and index of the candidate locations for temporary treatment centers |

$\text{}\mathrm{P},\text{}\mathrm{p}\text{}$ | Set and index of periods |

Parameters |

${\text{}\mathrm{PbA}}_{\mathrm{h}}\text{}$ | Probability of accidental risk at hospital $\mathrm{h}\in \mathrm{H}\text{}$ |

${\text{}\mathrm{PbA}}_{\mathrm{t}}\text{}$ | Probability of accidental risk at temporary transit center $\mathrm{t}\in \mathrm{T}\text{}$ |

${\text{}\mathrm{PbA}}_{\mathrm{e}}\text{}$ | Probability of accidental risk at existing treatment center $\mathrm{e}\in \mathrm{E}$ |

${\text{}\mathrm{PbA}}_{\mathrm{d}}\text{}$ | Probability of accidental risk at temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{Npat}}_{\mathrm{h}}^{\mathrm{p}}\text{}$ | Number of patients received at hospital $\mathrm{h}\in \mathrm{H}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{e}}$ | Population exposure around existing treatment center $\mathrm{e}\in \mathrm{E}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{d}}\text{}$ | Population exposure around temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{ht}}\text{}$ | Population exposure along the route from hospital $\mathrm{h}\in \mathrm{H}$ to temporary transit center $\mathrm{t}\in \mathrm{T}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{te}}\text{}$ | Population exposure along the route from temporary transit center $\mathrm{t}\in \mathrm{T}$ to existing treatment center $\mathrm{e}\in \mathrm{E}$ |

${\text{}\mathrm{Pop}}_{\mathrm{td}}\text{}$ | Population exposure along the route from temporary transit center $\mathrm{t}\in \mathrm{T}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{he}}\text{}$ | Population exposure along the route from hospital $\mathrm{h}\in \mathrm{H}$ to existing treatment center $\mathrm{e}\in \mathrm{E}\text{}$ |

${\text{}\mathrm{Pop}}_{\mathrm{hd}}\text{}$ | Population exposure along the route from hospital $\mathrm{h}\in \mathrm{H}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

$\text{}\mathrm{RI}\text{}$ | Infection rate of the epidemic disease |

${\text{}\mathrm{Gw}}_{\mathrm{h}}^{\mathrm{p}}\text{}$ | Generation of medical waste at hospital $\mathrm{h}\in \mathrm{H}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Cap}}_{\mathrm{t}}\text{}$ | Capacity of temporary transit center $\mathrm{t}\in \mathrm{T}\text{}$ |

${\text{}\mathrm{Cap}}_{\mathrm{e}}\text{}$ | Capacity of existing treatment center $\mathrm{e}\in \mathrm{E}\text{}$ |

${\text{}\mathrm{Cap}}_{\mathrm{d}}\text{}$ | Capacity of temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{LB}}_{\mathrm{t}}\text{}$ | Lower bound utilization requirement of temporary transit center $\mathrm{t}\in \mathrm{T}\text{}$ |

${\text{}\mathrm{LB}}_{\mathrm{e}}\text{}$ | Lower bound utilization requirement of existing treatment center $\mathrm{e}\in \mathrm{E}\text{}$ |

${\text{}\mathrm{LB}}_{\mathrm{d}}\text{}$ | Lower bound utilization requirement of temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{InS}}_{\mathrm{t}}\text{}$ | Installation cost of temporary transit center $\mathrm{t}\in \mathrm{T}$ |

${\text{}\mathrm{InS}}_{\mathrm{d}}\text{}$ | Installation cost of temporary treatment center $\mathrm{d}\in \mathrm{D}$ |

${\text{}\mathrm{Oc}}_{\mathrm{t}}^{\mathrm{p}}\text{}$ | Fixed operating cost of temporary transit center $\mathrm{t}\in \mathrm{T}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Oc}}_{\mathrm{e}}^{\mathrm{p}}\text{}$ | Fixed operating cost of existing treatment center $\mathrm{e}\in \mathrm{E}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Oc}}_{\mathrm{d}}^{\mathrm{p}}\text{}$ | Fixed operating cost of temporary treatment center $\mathrm{d}\in \mathrm{D}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{pc}}_{\mathrm{t}}^{\mathrm{p}}\text{}$ | Unit processing cost at temporary transit center $\mathrm{t}\in \mathrm{T}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{pc}}_{\mathrm{e}}^{\mathrm{p}}\text{}$ | Unit treatment cost at existing treatment center $\mathrm{e}\in \mathrm{E}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{pc}}_{\mathrm{d}}^{\mathrm{p}}\text{}$ | Unit treatment cost at temporary treatment center $\mathrm{d}\in \mathrm{D}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{tc}}_{\mathrm{ht}}^{\mathrm{p}}\text{}$ | Unit transportation cost from hospital $\mathrm{h}\in \mathrm{H}$ to temporary transit center $\mathrm{t}\in \mathrm{T}\text{}$ |

${\text{}\mathrm{tc}}_{\mathrm{te}}^{\mathrm{p}}\text{}$ | Unit transportation cost from temporary transit center $\mathrm{t}\in \mathrm{T}$ to existing treatment center $\mathrm{e}\in \mathrm{E}$ |

${\text{}\mathrm{tc}}_{\mathrm{td}}^{\mathrm{p}}\text{}$ | Unit transportation cost from temporary transit center $\mathrm{t}\in \mathrm{T}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

${\text{}\mathrm{tc}}_{\mathrm{he}}^{\mathrm{p}}\text{}$ | Unit transportation cost from hospital $\mathrm{h}\in \mathrm{H}$ to existing treatment center $\mathrm{e}\in \mathrm{E}\text{}$ |

${\text{}\mathrm{tc}}_{\mathrm{hd}}^{\mathrm{p}}\text{}$ | Unit transportation cost from hospital $\mathrm{h}\in \mathrm{H}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}\text{}$ |

Decision variables |

${\text{}\mathrm{Y}}_{\mathrm{t}}\text{}$ | Binary variable determines if a temporary transit center will be opened at candidate location $\mathrm{t}\in \mathrm{T}$ |

${\text{}\mathrm{Y}}_{\mathrm{d}}\text{}$ | Binary variable determines if a temporary treatment center will be opened at candidate location $\mathrm{d}\in \mathrm{D}$ |

${\text{}\mathrm{OT}}_{\mathrm{t}}^{\mathrm{p}}\text{}$ | Binary variable determines if a temporary transit center $\mathrm{t}\in \mathrm{T}$ will be used in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{OT}}_{\mathrm{e}}^{\mathrm{p}}\text{}$ | Binary variable determines if an existing treatment center $\text{}\mathrm{e}\in \mathrm{E}$ will be used in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{OT}}_{\mathrm{d}}^{\mathrm{p}}\text{}$ | Binary variable determines if a temporary treatment center $\text{}\mathrm{d}\in \mathrm{D}$ will be used in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{UQ}}_{\mathrm{h}}^{\mathrm{p}}\text{}$ | Uncollected amount of medical waste at hospital $\mathrm{h}\in \mathrm{H}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{t}}^{\mathrm{p}}\text{}$ | Amount of medical waste processed at temporary transit center $\mathrm{t}\in \mathrm{T}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{e}}^{\mathrm{p}}\text{}$ | Amount of medical waste treated at existing treatment center $\text{}\mathrm{e}\in \mathrm{E}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{d}}^{\mathrm{p}}\text{}$ | Amount of medical waste treated at temporary treatment center $\text{}\mathrm{d}\in \mathrm{D}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{ht}}^{\mathrm{p}}\text{}$ | Amount of medical waste transported from hospital $\mathrm{h}\in \mathrm{H}$ to temporary transit center $\mathrm{t}\in \mathrm{T}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{te}}^{\mathrm{p}}\text{}$ | Amount of medical waste transported from temporary transit center $\mathrm{t}\in \mathrm{T}$ to existing treatment center $\mathrm{e}\in \mathrm{E}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{td}}^{\mathrm{p}}\text{}$ | Amount of medical waste transported from temporary transit center $\mathrm{t}\in \mathrm{T}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{he}}^{\mathrm{p}}\text{}$ | Amount of medical waste transported from hospital $\mathrm{h}\in \mathrm{H}$ to existing treatment center $\mathrm{e}\in \mathrm{E}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |

${\text{}\mathrm{Q}}_{\mathrm{hd}}^{\mathrm{p}}\text{}$ | Amount of medical waste transported from hospital $\mathrm{h}\in \mathrm{H}$ to temporary treatment center $\mathrm{d}\in \mathrm{D}$ in period $\mathrm{p}\in \mathrm{P}\text{}$ |