I think that it depends of the dose. You can will make a oral glucose tolerance test with some rats, and made a blood extraction at different times. I have an experiment and observe a maxim glucose blood concentration at 30 minutes with a dose of 2 g o glucose / kg body weight. I used f344 rats wt and ko, with the same profile.
"I appreciate all your answers, but I'll be happy if you refer me to a reliable reference."--I attached a recent publication to my first answer, take a look and you will find what you seek.
How is glucose infused and what is the resultant level of glucose that pancreas is exposed to - will determine how much insulin endocrine pancreas releases.
As for how quickly secretion commences, generally speaking, after sensing elevation in glucose levels, endocrine pancreas responds within a minute. It is an exquisitely responsive system. We published this information long ago:
Am J Physiol. 1993 Sep;265(3 Pt 1):E446-53.
http://www.ncbi.nlm.nih.gov/pubmed/8105694
The above is just one publication, there are many more where the observation was confirmed in other contexts. Similar results were published by others as well around the same time period (I recall Dan Pipeleers from Brussels was quite active in that field).
The actual insulin secretory response time may be even shorter than 1 min. Since we were collecting a fraction each min for practical reasons, 1min was the shortest time post-glucose-stimulation we could analyze.
All of the above relates to the first phase of insulin secretion from beta cells, which is relevant to your question "start secreting...".