Applications of Entropy Measures in Field of Queuing Theory

In the present communication, we have studied different variations in the entropy measures in the different states of queueing processes. In case of steady state queuing process, it has been shown that as the arrival rate increases, the uncertainty increases whereas in the case of non-steady birth-death process, it is shown that the uncertainty varies differently. In this pattern, it first increases and attains its maximum value and then with the passage of time, it decreases and attains its minimum value. Keywords—Entropy, Birth-death process, M/G/1 system, G/M/1 system, Steady state, Non-steady state