Homework

Small assignments

There are small homework assignments after nearly every lecture that have to be submitted before the recitation the next day.

These assignments aim to ensure that the students come to the recitations with some preparation, so that they can participate in the problem solving. The solutions will be discussed in groups during recitation.

You can find the problems directly under Assignments. You can submit your solutions handwritten, or written in LaTeX. 

You need to submit more or less correct solution for 8 out of the 10-11 small assignments to pass the course.

Solutions for the small assignments - published after the last small assignment (pdf)

Larger assignments

There are TWO larger, compulsory mid-term homework assignments in the course:

1. Warm-up and probability theory check

2. Basic queuing theory, covering lecture and recitation material 1-6.

Submission instructions: You need to prepare your solutions in the text editing system LaTeX, and submit the compiled pdf via the Assignments page. If you have not used LaTeX before, you can find an easy to use online editor at www.overleaf.com Links to an external site. . If you are a beginner, count some time for learning LaTeX. To the first home assignment I also attach a latex version, that you can also use as template.

1. Warm-up and probability theory check

The objective of the homework is to make sure you know the probability theory basics that are essential for the course. Check the "Probability recall" link under General information. I have also added some calculus exercises as a warm-up. I encourage you to solve the problems early in the course, well before the deadline.

2. Basic queuing theory

The objective if the homework is to make sure you started to study and have the necessary knowledge to understand the more advanced material. We cover the material up to the M/M/m/m queues.

How to work

You can discuss the problems with other students, but copying from other solutions is not allowed. Also consider KTHs general information on plagiarism.

Grading

The homeworks are graded P/F. You pass the moment, if you reach 75%. You receive full points even if your solution has errors, but you have to show a real attempt to solve the problem. 

In case you can not submit the homework on time, contact the teacher in advance. Otherwise 5 points will be subtracted from your exam results.

General advice

- The home assignment problems are easier than exam problems, so, do not take it easy, even if your solutions here are correct.

- It is of highest importance for you to find the correct queuing system to solve a problem. If the queuing system is wrong, the solution can not be correct. Also, do not use equations from "other" queuing systems.

- If there is a formula (you know it or it is listed on the formula sheet) you do not need to derive it. You need to derive a formula, if we write "derive" or "prove".

- Be careful with rounding numbers, and avoid it if possible. We work with small numbers here. Also, keep using common fractions (ratio of integers) if possible, not the decimal form, when small but important parts may disappear.

- Read the published solutions in detail, even if your solution was correct. Maybe you find some interesting ideas.

- The homework assignments are for you to learn. By copying someone else's solution, you only waste your time.