Dear all students,
There is an unexpected challenging aspect to Homework #4, let alone the formidably long simulated time in Matlab, which are aggravated by inefficient implementation of high-level code there.
That is, due to the very generality of Little's Law in Problem 1 in Homework #4, even if you implement the system set out in Problem 1 in an incorrect way (e.g., some programming mistakes), Little's Law will still hold as long as your wrongly-implemented system is "stationary". One unexpected ramification of too much generality of Little's Law is that you can't even verify the validity of your code simply by plugging "average number of customers (jobs)" and "average response time" into the formula. It will hold for sure unconditionally. This in turn implies that you have to entirely rely on your insights when it comes to the correctness of your code. As a metaphor, it can be similar to debugging a programming code only by insights without resorting to any debugging tool.