Lean Six Sigma is a methodology that combines the principles of Lean Management and Six Sigma to improve efficiency and reduce waste in business processes. It is a data$-$driven approach that uses statistical analysis and other tools to identify and eliminate the root causes of problems, reduce variation, and improve quality.

Lean Six Sigma has been successfully implemented by many organizations, including:

General Electric $($GE$)$: GE has used Lean Six Sigma to reduce waste and improve efficiency in its manufacturing processes, resulting in higher productivity and lower costs.

Mazda: Mazda has used Lean Six Sigma to reduce waste and improve quality in its manufacturing processes, resulting in higher customer satisfaction and lower costs.

The Malcolm Baldrige Principles are a set of criteria for evaluating the quality management systems of organizations. They are named after Malcolm Baldrige, who was the US Secretary of Commerce from $1981$ to $1987.$ The principles are used to assess the performance of organizations in a variety of industries, including healthcare, education, and manufacturing.

The Malcolm Baldrige Principles have been successfully implemented by many organizations, including:

Mayo Clinic: Mayo Clinic has used the Malcolm Baldrige Principles to improve the quality of its healthcare services, resulting in higher patient satisfaction and lower costs.

Harvard Business School: Harvard Business School has used the Malcolm Baldrige Principles to improve the quality of its education programs, resulting in higher student satisfaction and lower costs.

Final answer: In conclusion, Lean Six Sigma and the Malcolm Baldrige Principles are two effective methodologies for improving quality management systems in organizations. They can be used to reduce waste and improve efficiency in business processes, resulting in higher productivity, higher customer satisfaction, and lower costs.