P5. (10 pts) Consider a slotted ALOHA system. Suppose there are 2N nodes sharing the channel....
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P5. (10 pts) Consider a slotted ALOHA system. Suppose there are 2N nodes sharing the channel. These nodes are divided in two groups with N nodes each. The probability that a node in group 1 and group 2 have a packet to transmit in a time slot are p and 2p, respectively. Assume p <0.5 and each node always has packets to send. a. What is the system-level efficiency (i.e., the average number of packets that can be sent out successfully through this channel in a slot)? Your answer should be a formula in N and p. (5 pts) b. When group 2 gets a throughput that is three times higher than group 1's, what is the corresponding numerical value of p? (5 pts) P5. (10 pts) Consider a slotted ALOHA system. Suppose there are 2N nodes sharing the channel. These nodes are divided in two groups with N nodes each. The probability that a node in group 1 and group 2 have a packet to transmit in a time slot are p and 2p, respectively. Assume p <0.5 and each node always has packets to send. a. What is the system-level efficiency (i.e., the average number of packets that can be sent out successfully through this channel in a slot)? Your answer should be a formula in N and p. (5 pts) b. When group 2 gets a throughput that is three times higher than group 1's, what is the corresponding numerical value of p? (5 pts)
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a To calculate the systemlevel efficiency in a slotted ALOHA system with 2N nodes where N nodes are in each of the two groups we can use the following ... View the full answer
Related Book For
Computer Networking A Top-Down Approach
ISBN: 978-0136079675
5th edition
Authors: James F. Kurose, Keith W. Ross
Posted Date:
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