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EE465-USC-Fall08-Assignment7

# EE465-USC-Fall08-Assignment7 - EE 465 Homework 7 Due...

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EE 465 : Homework 7 Due : 11/4/2008, Tuesday in class. 1. Solve 6.6 (6.6) (do parts (a) and (b) only) from textbook 2. Solve 6.12 (6.12) from textbook 3. Solve 6.13 (6.13) from textbook 4. Solve 6.15 (6.15) from textbook 5. Solve 6.17 (6.17) from textbook 6. Solve 6.22 (6.22) from textbook 7. Consider a simple telephone switching center where calls arrive according to a Poisson process of rate λ . The center has two switches: A and B. Each arriving call is routed to switch A with probability p and to switch B with probability 1 - p . Switch A has capacity C A (can handle C A calls simultaneously) and switch B has capacity C B . When a routed call finds the switch full, it is simply blocked and rejected. Call durations are exponentially distributed with rate μ . (i) Compute the blocking probability of switch A. (ii) Compute the blocking probability of the center. (iii) Suppose there is only one switch in the center with capacity C A + C B . Compute the blocking probability of the center.

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