Having to know some people from both these institutions, I can say that both of these colleges are specialized in two different fields. Let me share some facts about both these colleges I gathered by interacting with them.

• VJTI is one of the prominent engineering colleges and NITIE is prominent among the top B-schools of India. 
• NITIE is recognized for its extensive alumni and professional professors who are experts in their fields. 
• Project Management at NITIE, in terms of studies, is the best among the B-schools in the country.
• From Project Management at VJTI, 18% of the students are placed in prominent companies.
• NITIE is known for its high management extension.
• The placement and faculty of VJTI are not up to the mark when compared to NITIE.

Hence, there is no comparison between VJTI and NITIE. But one of my friends has recommended NITIE as in many aspects it manages to be better than VJTI.