Consider a single-server queue operating on discrete time slots, with Bernoulli arrivals and departures in each time slot. The departure rate is = 0.75. Plot the expected delay of a job as a function of the arrival rate . You have to run the simulations long enough, for example at least for 10^6 time slots.

(Hints: use Littles law to calculate the expected delay, but you have to simulate the queue dynamics to get the expected queue length first.)

Note:

Choose one programming language to do the simulation from C/C++, Matlab, Python, and Java.

Report (in a format of one single PDF) should include the plot, and simulation code and annotations.