Help with greedy algortitm please

[steve22]

help with greedy algortitm please!

Homework Statement

Hi Guys

I have a big problem which is bugging me. Basically the problem is about agreedy algorithm. I have attached the problem which would be similer to what I would get in the exam. I am really confused about the question I would like to get help from anyone please or example of how to solve the problem.

the problem is about

Each of ten students A-J have chosen 3 modules out of eight available as follows:

Discuss how the Greedy Algorithm can be applied to this problem and hence insert subjects into slots in such a way as to minimise the number of students who have a timetable clash.

Ive attached the problem. I would be very greatful if me anyone can help me with this question it would be very helpful to

Homework Equations

The Attempt at a Solution

 

[steve22]

Hi Guy

Does anyone know how to do this. Or am I right into thinking this is hard?

Really need help on this guys please

 

[piercas]

Hello,

I understand your confusion about the problem. A greedy algorithm is a method for finding an optimal solution to a problem by making the best possible decision at each step. In this case, we want to minimize the number of students who have a timetable clash, so we need to prioritize which modules to assign to each student first.

One approach could be to start with the student who has the fewest number of modules chosen (let's say A) and assign them the modules that have the least number of conflicts with other students. Then, move on to the student with the next fewest modules (let's say B) and assign them the modules that still have the least number of conflicts with other students. Continue this process until all students have been assigned their modules.

Alternatively, you could start with the module that has the least number of conflicts with other students and assign it to the student who has the fewest modules chosen. Then, move on to the next module with the least number of conflicts and assign it to the next student with the fewest modules chosen. Continue this process until all modules have been assigned.

I hope this helps you understand how to apply the greedy algorithm to this problem. If you are still struggling, I suggest reaching out to your classmates or instructor for further clarification. Good luck!