Methods engineering and operations analysis involve analyzing work methods, systems, tools, equipment, layout, and processes to improve productivity, efficiency, quality, and reduce costs. A systematic approach is used, including defining problems and objectives, analyzing current processes, formulating alternatives, evaluating and selecting the best alternative, implementing it, and auditing results. Various techniques are used for data collection and analysis, including motion study, work measurement, diagrams, and statistical tools. The goal is to continuously improve processes and operations.