1. This work presents the scenario of charging infrastructure development across selected countries. An overview and importance of home charging is also presented in the work. 2. This paper also provides a deep insight of the complex and dynamic nature of the optimal placement of charging station problem, thereby considering the demand, logistics, and supply aspects related to the problem. 3. An overview and comparative analysis of different modeling approaches of charging station placement problem adopted by researchers is provided. 4. The different objective functions and constraints of the charging station placement problem are also discussed along with a brief understanding of the optimization algorithms adopted for the solution of this placement problem.The paper starts with an attempt to provide scenario of the charging infrastructure planning across selected countries, importance of home charging, and then presents a general overview and brief classification of the problem. The modeling approaches and the objective functions presented in different charging system studies are discussed in the work. Finally, the work concludes by identifying the future direction of work possible in this paradigm.