why is production engineering related to management sciences
Production engineering is a nomenclature used for shop floor manufacture. Management sciences is another aspect of manufacturing that is essentially industrial engineering. So industrial engineering (Management sciences) is the name used for operational side of the manufacturing.
Production engineering involves the manufacturing operations, machine tools, process planning, CNC, CAM, CIM, CAPP, Tool design, DFM, etc.
Industrial engineering involves production planning and control, resource planning, MRP, ERP, capacity planning, shop floor scheduling, Productivity improvement, value engineering, etc.
Current trend is to use the name manufacturing engineering to cover both. For a commercial organization both are essential Production engineering as well as industrial engineering aka management science. In today’s manufacturing world it is essential to have both of these disciplines incorporated in the curriculum.