This report delves into the implementation of Lean Six Sigma methodologies within industries, focusing on improving customer satisfaction, reducing cycle times, and minimizing defects. It highlights the importance of client focus, talent utilization, leadership commitment, and a supportive facilitator structure for successful implementation. The report examines the application of Lean Six Sigma in a logistical firm, specifically the Mumbai harbor port logistic system, to address environmental challenges and optimize business success. It includes a literature review of relevant articles and books, followed by a detailed modeling of the truck transportation system in Mumbai harbor and the methodologies adopted to improve efficiency. Furthermore, the report presents a solution to the "winemaker problem," optimizing profit by utilizing available resources effectively. The conclusion summarizes the key findings and provides recommendations for both the Lean Six Sigma implementation and the winemaker problem solution. Desklib offers a range of similar reports and solved assignments for students.