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?
You can find similar books in the "Read Also" column, or choose other free books by Vin Nguyen to read onlineMoreLess
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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