  In this paper, we introduce and study the problem of facility location along
with the notion of \emph{`social distancing'}. The input to the problem is the
road network of a city where the nodes are the residential zones, edges are the
road segments connecting the zones along with their respective distance. We
also have the information about the population at each zone, different types of
facilities to be opened and in which number, and their respective demands in
each zone. The goal of the problem is to locate the facilities such that the
people can be served and at the same time the total social distancing is
maximized. We formally call this problem as the \textsc{Social Distancing-Based
Facility Location Problem}. We mathematically quantify social distancing for a
given allocation of facilities and proposed an optimization model. As the
problem is \textsf{NP-Hard}, we propose a simulation-based and heuristic
approach for solving this problem. A detailed analysis of both methods has been
done. We perform an extensive set of experiments with synthetic datasets. From
the results, we observe that the proposed heuristic approach leads to a better
allocation compared to the simulation-based approach.
