Fluid And Diffusion Approximations of a Two Station Mixed Queueing Network
Fluid And Diffusion Approximations of a Two Station Mixed Queueing Network
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The relative traffic intensity at station 1, pi, is then 0. 81, 0. 91, and . 96 for Systems 1, 2, and 3, respectively. For each system, we consider values of A^ between 1 and 100. (Observe that because m2 = 1, the throughput rate is given by a', the fraction of busy time at station 2. ) Figure 4 compares the throughput rate approximations (a) against exact solutions (a') for System 1 (here, pi = . 81). We display throughput rates as a function of N, the number of closed customers in the system.... As we expect, the throughput rate approaches I as N increases. The throughput rate is clearly less than 1 for small values of A/', but it approaches 1 rapidly as N increases. In particular, the throughput rate increases to 0. 909, 0975, and 0. 997 for A'^ = 5, ^V = 10, and N = 15, respectively. The difference between the throughput rate and unity, of course, is even smaller for values of pi closer to 1. Figure 5 shows the relative percentage error in throughput time approximations for each system (calculated via (d — a*)/a').
What to read after Fluid And Diffusion Approximations of a Two Station Mixed Queueing Network?
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To quickly assess the difficulty of the text, read a short excerpt:
The relative traffic intensity at station 1, pi, is then 0. 81, 0. 91, and . 96 for Systems 1, 2, and 3, respectively. For each system, we consider values of A^ between 1 and 100. (Observe that because m2 = 1, the throughput rate is given by a', the fraction of busy time at station 2. ) Figure 4 compares the throughput rate approximations (a) against exact solutions (a') for System 1 (here, pi = . 81). We display throughput rates as a function of N, the number of closed customers in the system.... As we expect, the throughput rate approaches I as N increases. The throughput rate is clearly less than 1 for small values of A/', but it approaches 1 rapidly as N increases. In particular, the throughput rate increases to 0. 909, 0975, and 0. 997 for A'^ = 5, ^V = 10, and N = 15, respectively. The difference between the throughput rate and unity, of course, is even smaller for values of pi closer to 1. Figure 5 shows the relative percentage error in throughput time approximations for each system (calculated via (d — a*)/a').
What to read after Fluid And Diffusion Approximations of a Two Station Mixed Queueing Network?
You can find similar books in the "Read Also" column, or choose other free books by Vin Nguyen to read onlineMoreLess
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