# A Dynamic Framework for Community-Facility Siting with Inter-Community Competition
## 2 Literature Review
### Community-Facility Location Problems  
This section provides a detailed analysis of the optimization objectives, constraints, research methodologies, and adaptability of studies on CFLPs. As shown in Table 1, most studies on CFLPs have focused on healthcare and medical facilities [31; 32; 33; 34; 35; 36; 37; 38; 39], which may be attributed to the increasing awareness of public health and the close attention paid to primary medical facilities after the pandemic. Additionally, there is a small body of research in the literature that has involved community emergency facilities [40; 41] and community waste collection facilities [42; 43]. We also found that efficiency and equity were the most fundamental and common objectives in previous research. Among them, efficiency objectives were well-developed, covering various stages of facility location and operation, including the economic benefits of facility sitting [34; 36; 42], service supply efficiency [37; 38; 40], facility coverage [33; 34; 43; 44], and facility accessibility [32; 34; 35; 36; 38; 40; 41; 42; 44]. In contrast, equity objectives were relatively \begin{table}
\begin{tabular}{c c c c c} \hline
**Study** & **Facility Type** & **MS** & **BO/MO** & **Objectives** & **Constraints** \\ \hline [PERSON] et al., & & & & & \\
2019 [32] & CMHF & & \(\surd\) & accessibility, covering & N \\ [PERSON] et al., & & & & & \\
2022 [33] & CMHF & & & covering & number of facilities \\ [PERSON] et al., & & & & & demand point-facility \\
2022 [34] & CMHF & \(\surd\) & accessibility, covering, cost & assignment, facility capacity, \\ [PERSON] et al., & & & & & number of facilities \\
2022 [35] & CMHF & \(\surd\) & travel distance & number of facilities, demand \\ [PERSON] et al., & & & & & point-facility assignment \\
2021 [36] & CMHF & \(\surd\) & travel distance, cost & facility capacity, conditions of \\ [PERSON] et al., & & & & & facility opening \\
2015 [37] & CMHF & & & service supply amount & demand point-facility \\  & & & & & assignment, facility capacity, \\  & & & & & number of facilities \\ Khodaparasti & & & & distance between facilities, & threshold distance, facility \\  & & & & total travel time, & capacity, distance between \\  & & & & input–output ratio & facilities, number of facilities \\ [PERSON] et al., & & & & accessibility & N \\
2014 [39] & CMHF & & & & \\ [PERSON] et al., & & & & & facility capacity, number of \\
2021 [40] & CEF & \(\surd\) & service supply amount, & facility capacity, number of \\ [PERSON] et al., & & & & travel distance & facilities \\
2021 [41] & CEF & \(\surd\) & accessibility, safety, travel & threshold distance, \\  & & & & distance & environmental element \\ [PERSON] et al., & & & & travel distance, cost, & facility capacity, demand \\
2020 [42] & WCF & \(\surd\) & consecutive visit & point-facility assignment, \\  & & & & frequencies & threshold distance \\ [PERSON] \& [PERSON], & & & & number of facilities, demand \\
2022 [43] & WCF & & & covering & point-facility assignment, \\ [PERSON] et al., & & & & & facility capacity \\
2021 [44] & CGF & \(\surd\) & \(\surd\) & covering, accessibility & N \\  & & & & service distribution Gini & facility number, \\ This study & CGF & \(\surd\) & \(\surd\) & coefficient, service & facility-community allocation \\  & & & & supply rate & strategies \\ \hline \end{tabular} MS: multi-scenario; BO: bi-objective MO: multi-objective; WCF: waste collection facilities; CMHF: community medical and healthcare facilities; CEF: community emergency facilities; CGF: community general facilities; N: no relevant information was provided.  
\end{table} 
Table 1: Review of community-facility location problems (CFLPs) studies. limited in the reviewed studies. For instance, [PERSON], [PERSON], [PERSON], and [PERSON] developed a spatial optimization model for residential care facilities to maximize accessibility equity [39], while [PERSON], [PERSON], [PERSON], and [PERSON] aimed to ensure that second-level facilities were well-dispersed by minimizing the distance between primary and secondary facilities [38].