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6th European Conference - Academic Conferences

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Solving for PK:<br />

K<br />

Pk<br />

p0<br />

K<br />

1<br />

k 0 k 0 2<br />

p<br />

k<br />

1<br />

2<br />

k<br />

p<br />

0<br />

k<br />

1<br />

p<br />

p<br />

0<br />

k<br />

Hind Al Falasi and Liren Zhang<br />

k<br />

k<br />

K<br />

K<br />

1<br />

0 2<br />

1<br />

2<br />

1<br />

1<br />

0 2<br />

k<br />

k<br />

k<br />

*Where PK = PB = Probability an arriving packet is turned away due to full buffer = Probability of a<br />

covert channel.<br />

Figure 3: Markov chain model of the SAFP queue<br />

6. Results<br />

Figure 4 provides an overview of the relationship between the blocking probability and the size of the<br />

SAFP buffer. We are assuming the simplest possible scenario, where the arrival rate is twice as fast<br />

as the service rate. Starting with a buffer with size 0, the blocking probability is 1.<br />

Figure 4: Pk vs. K<br />

This is understandable, as at this point the SAFP is turning away every packet, due to lack of storage<br />

place. When the size of the buffer is 2, we calculate a probability of a covert channel which is more<br />

than 50%. While the probability slightly decreases as we increase the size of the buffer, we find that<br />

12<br />

(4)<br />

(5)

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