I doubt you will find a competed DOE for this topic with all the data & analysis you might need. The article Dave Scott linked to is actually close ... the results of a designed set of experiments (a "DOE") to optimize the heating profile. ITt gives the basic results as well as some of the basic graphs that would be produced.
If you want to do your own DOE from scratch, you need to decide what you want to learn (and how big of a budget you have). I am not an expert on reflow profiles, but from the article, it appears that some key parameters are
* initial ramp rate
* soak temperature
* soak time
* peak temperature
* cooling rate
Since you said you wanted to "optimize" the process, then a RSM (response surface methodology) approach would be called for. With 5 factors, you would need 30-50 individual trials to complete a standard DOE. From the results of these trials, you would then perform the analysis to determine the optimized parameters.
As an alternative, you might consider an EVOP (evolutionary operations) approach. Here you make minor adjustments to an existing process and see what the results are. The disadvantage is that it might take longer to optimize the process. the advantageis that you can continue with normal production as you do the experiments.
Tim F