Burst segmentation benefit in optical switching

We derive the asymptotic behavior of the ratio between the blocking probabilities of burst segmentation (BS) and just-enough-time (JET) policies in an optical burst switch. It is shown that if the ratio between the offered load and the number of wavelengths, k, is fixed and equals c as the number of wavelengths approaches infinity, the ratio between the blocking probabilities of BS and JET approaches 1 if c > 1; 0.5 if c = 1; and is O(1/k) with a constant c/(1 - c)/sup 2/ if c < 1.