Hey Sharad, both are decent B-schools but here are a few comparision points:
JIMS, Rohini- The infrastructure is quite good considering the size of campus. The building are well organized, classrooms are well maintained and technologically updated.
Asian Business School - The B-school is a 6floor builiding and is not much when it comes to size of campus. The classrooms are fully Air conditioned and there is free wifi access for PGDM students.
JIMS, Rohini - The permanent faculty is experiences but not as competent. But the visiting faculty is excellent. Some the best DU professors and other famous personalities visit the college for guest lectures.
Asian Business School - Faculties are excellent and are cooperative.
JIMS, Rohini - The visiting company provides summer internship, live projects along with placements. Some of the comapanies are Colgate, GSK, Star India, TCS etc and the average package is around 6.25 LPA.
Asian Business School - The average package revolves around 5.8 LPA offered by companies such as Nestle, Godrej, ITC etc.
JIMS, Rohini - For PGDM, the total fee sums up to Rs. 7.15 lakhs.
Asian Business School - For PGDM, the total fees sums up to Rs. 7.20 lakhs
In my personal opinion, Asian Business School assures you 100% placement and has great corporate exposure and offers additional certification along with PGDM course. But at the end of the day it's your choice. Hope it helps! Good luck.