Sir, I have secured a 1888 rank in jee advanced 2015, please suggest a suitable branch in a suitable iit for me in terms of placement.

Hi
If you are getting core branches in the top five IIT’s :
IIT Kharagpur
IIT Kanpur
IIT Delhi
IIT Bombay
IIT Madras
Then you should go for that.
You can go for the branch in the order of :
CS
EE
ECE
ME
CIVIL

Hi
Civil at Bombay is a beter option. IIT Bombay is more repuated than Roorkee. You will get better oppurtunity at IIT B. And CIVIL is a core engineering branch. So I suggest you to go for that.