## 4 Multi-Objective Optimization Model under Uncertain Conditions
### Model Construction
#### 4.2.2 Parameters Description  
\(w_{i}\) represents the number of IMWs generated in \(i\).  
\(uncc\) represents the unit collection cost of IMW in \(i\).  
\(uncc\) represents the unit shipping cost of IMW.  
\(Tunpc_{j},\ Numpc_{m}\) represent the unit processing cost of IMW at \(j,\ m\).  
\(Tunc_{j},\ Numscc_{m}\) represent the unit temporary storage cost of IMW at \(j,\ m\).  
\(Dulc_{p},\ Hulc_{k}\) represent the unit landfill cost at \(p\) and the unit landfill cost at \(k\) for the slag and hazardous waste, respectively, which is generated by the treatment of IMW.  
\(suntc,\ fautc\) represent the unit transportation cost of handling slag and hazardous waste generated by IMW, respectively.  
\(Tfoc_{j},\ Ngoc_{m},\ Dfoc_{p},\ Hfoc_{k}\) represent the fixed operating cost of \(j,\ m,\ p,\ k\).  
\(etc^{\prime}_{j},\ ntc^{\prime}_{m}\) represent the cost of technology upgrade and technological transformation for \(j,\ m\), respectively.  
\(td\) represents transportation distance.  
\(pw_{j}\) represents the number of IMW in \(j\) that are not upgraded.  
\(\bar{p}tw_{j}\) represents the number of IMW that \(j\) upgrades to increase.  
\(\bar{m}pw_{m}\) represents the number of IMW processed by \(m\) after technical modification.  
\(Tpc_{j},\ Npc_{m},\ \dot{D}pc_{p},\ \dot{H}pc_{k}\) represent the processing capability and capacity limit of \(j,\ m,\ p,\ k\).  
\(\bar{t}jpc_{j}\) indicates the improved processing capability of \(j\) after the technology upgrade.  
\(\eta,\ \theta\) represent the unit coefficient of slag and hazardous waste generated by IMW;  
\(nob_{i}\) represents the number of beds owned by \(i\).  
\(\varphi_{i}\) represents bed utilization rates of \(i\).  
\(bimwgc\) represents the coefficient of IMW production.  
\(cir,\ \dot{t}r\) represent the probability of infection risk occurring during collection and transport, respectively.  
\(Tsir_{j},\ Nsir_{m},\ Tpij_{j},\ Npir_{m}\) represent the probability of infection risk occurring during the temporary storage and handling of \(j,\ m\).  
\(cpe,\ tpe\) represent population exposure during collection and transportation, respectively.  
\(Tsir_{j},\ Nspe_{m},\ Tppe_{j},\ Nspe_{m}\) represent human exposure during the temporary storage and handling in \(j,\ m\);  
\(cer\),\(\ ter\) represent the effect radius of infection during collection and transportation, respectively.  
\(Tser_{j},\ Nser_{m},\ Tper_{j},\ Nper_{m}\) represent the effect radius of infection during temporary storage and handling of \(j,\ m\).  
\(cpd,\ tpd\) represent the population density during collection and transportation, respectively.  
\(Tspd_{j},\ Nspd_{m},Tppd_{j},\ Nppd_{m}\) represent the population density during temporary storage and processing of \(j,\ m\).  
\(Cfo\),\(\ Cc\),\(\ Cp\),\(\ Cl\),\(\ Ct\),\(\ Ctu\),\(\ Ctt\),\(\ Cts\), respectively, represent the fixed operation cost, collection cost, processing cost, landfill cost, transportation cost, technology upgrade cost, technology transformation cost, and temporary storage cost in IMW disposal network.  
\(Rc,\ Rp,\ Rt,\ Rts\), respectively, represent the collection risk, processing risk, transportation risk, and temporary storage risk in IMW disposal network.  
\(C,\ R\) represent the total economic cost and total infectious risk of IMW disposal network, respectively.