Production Engineering

Production / Industrial Engineering are pretty much the same disciplines. The areas of study include production systems (batch / mass / etc. ), production planning and management, economics of production systems, optimization and simulation techniques, etc. The supporting core engineering disciplines like engineering design, machine tools, production technology, thermodynamics, fluid mechanics, strength of materials, material Science, are all taught as well. Manufacturing Systems Engineering is more often a graduate level course rather than an undergraduate course which focuses on production systems and practices, and their mathematical modeling. There is far less emphasis on the supporting engineering disciplines and far more focus on understanding the determinants of efficient manufacturing in different modes of production. In addition, manufacturing processes are studied in detail - from CNC's and other precision machinery, to nanotechnology.

COEP is better any day, not just for a particular branch but as a college itself. It has a rich history, some exceptional alumni from both Mechanical and Instrumentation departments and frankly the brand speaks for itself. Mechanical department was very recently renovated, so you are going to GET state-of-the-art facilities there. Along with that comes the added bonus of good placements with good packages. Oh and a fun fact, our Mechanical department is 104 years old!
Instrumentation has always had state of the art labs and some amazing teaching faculty coupled with the great placement and packages. COEP is one of the oldest institutes to offer Instrumentation in Maharashtra at least. We completed 51 years this June.
So, apart from tradition and branding, you are going to enjoy many other facilities you will get at COEP including the famous Boat Club. But in the end, the choice is yours.