My name is Pooria, an Optical Telecommunications student. I have been working on Flexible Bandwidth Optical Networks since 2009. However, in my current project, I got a question that I thought maybe you can help me to solve. Well, I need to introduce a quantitative criterion for judging the degree of spectral fragmentation in the network links. I will explain the problem in a simple way, hence, it is highly appreciated if you could guide me.
Assuming, we have a row of twelve chairs. Five people will randomly sit on them. We take two possible cases:
- They sit on the five first chairs respectively. We named this case “The Compact case”.
- In the second case, which we named “The Fragmented case”, people sit on chairs in the following order:
- Man 1 – Chair 1, Man 2 – Chair 4, Man 3 – Chair 6, Man 4 – Chair 8, Man 5 – Chair 10.
Now, I would like to introduce a factor that shows How far is the fragmented case form the compact case. More difficult, what will be this factor if people need random number of chairs as well. For example:
- Man 1 needs 2 chairs, Man 2 needs 1 chair, Man 3 needs 1 chair, Man 4 needs 1 chair, Man 5 needs 3 chairs.
I will be grateful if you could guide me through this problem. Thank you very much.
Looking forward to hear you,