First of all, I beg forgiveness for the "do my work for me" nature of this question.
I am doing some technical analysis of our software integration with a 3rd party software system. We make requests throughout the day to the 3rd party system, and it responds to those requests within a period of time.
I would like to be able to make a prediction about the maximum number of requests being "alive" at the same time.
The information I have is as follows
- Number of requests per day
- Duration of each request (time it takes before we get the response)
- 45% of daily requests are made between 0800-1300, with each hour being roughly the same volume
Ideally, I would like to be able to make the following prediction:
The likelihood of N overlapping requests = L%
For example, likelihood of 2 overlapping requests = 95%, likelihood of 3 overlapping requests = 60%, etc....