We know that SST and wind stress play a vital role in the onset of summer monsoon in India.Here I want to know how these factors i.e SST,wind stress,relative humidity etc. are responsible in determine OLR ,eventually determining the onset.
I am puzzled by your question because, in the meteorological literature, the acronym 'OLR' stands for 'Outgoing Long-wave Radiation', i.e., the radiation emerging from the planet and lost to space, in the thermal domain. See
This spectral range is largely separate from the 'Solar' domain: the boundaries are somewhat arbitrary, but the effective overlap between these two domains is tiny from an energy point of view.
The monsoon is a large (sub-planetary) scale seasonal dynamic process that involves very many factors, including the differential heating rates over the continents and oceans. Radiation (both solar and thermal) thus plays an important role, but so does thermodynamics and in particular the evaporation from the oceans and the condensation of water vapor in clouds. I don't think that any single process or variable can be held responsible for the onset of the monsoon. For an initial introduction to this topic, see
https://en.wikipedia.org/wiki/Monsoon
and for specific information on the Indian monsoon, consult
Yes, I know monsoon is governed by many factors apart from these we considered some factors i.e. SST , wind velocity ,heat flux etc. Here in my question I want to know is there any significant effect of these factors on OLR which eventually affects the onset of summer monsoon.