The rapid advancement of integrated circuit (IC) technology has increased the demand for efficient and effective VLSI optimization methods. This paper presents a systematic literature review as well as a conceptual framework for optimizing placement and routing congestion estimation and control in VLSI design. This paper review existing algorithms, optimization techniques for placement and routing, congestion estimation, and control mechanisms. The goal is to comprehend the advantages, disadvantages, and applicability of these algorithms in addressing VLSI design problems. Furthermore, the research proposal seeks to create a comprehensive approach that incorporates various optimization techniques to improve the overall performance of integrated circuits. The estimation and control of routing congestion receive special attention because it has a significant impact on signal flow and overall circuit quality. The preferred programming platform for implementing the proposed methodology is the MATLAB technical computing language, along with the required toolboxes. This research aims to contribute to the advancement of efficient and reliable IC designs by addressing the key challenges in VLSI design using an optimized placement and routing framework.