Consider the finite M/M/1 queue holding at most N packets. a. Show that the blocking probability is PB = 1/(N + 1) at p = 1. b. Plot PB = PN for all values of p, 0≤p< for N = 4 and N = 19. c. The throughput is defined to be y = (1-PB). Sketch y/μ (the normalized throughput) as a function of p = 2/µ (normalized load) for 0 ≤p<∞, N = 4, and N = 19. Compare.

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2-13 Consider the finite M/M/1 queue holding at most N packets.
a. Show that the blocking probability is Pg= 1/(N+ 1) at p= 1.
b. Plot Pg = pN for all values of p, 0 <p<∞ for N = 4 and N
c. The throughput is defined to be y = 1(1 - Pg). Sketch y/u (the normalized
throughput) as a function of p= 1/µ (normalized load) for 0 <p<∞, N = 4,
and N = 19. Compare.
19.
Transcribed Image Text:2-13 Consider the finite M/M/1 queue holding at most N packets. a. Show that the blocking probability is Pg= 1/(N+ 1) at p= 1. b. Plot Pg = pN for all values of p, 0 <p<∞ for N = 4 and N c. The throughput is defined to be y = 1(1 - Pg). Sketch y/u (the normalized throughput) as a function of p= 1/µ (normalized load) for 0 <p<∞, N = 4, and N = 19. Compare. 19.
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