P8. In Section 6.3 , we provided an outline of the derivation of the efficiency of slotted ALOHA. In this problem we'll complete the derivation. a. Recall that when there are N active nodes, the efficiency of slotted ALOHA is Np(1-p)N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), find the efficiency of slotted ALOHA by letting N approach infinity. Hint: (1-1/N)N approaches 1/e as N approaches infinity.

P8. In Section 6.3 , we provided an outline of the derivation of the efficiency of slotted ALOHA. In this problem we'll complete the derivation. a. Recall that when there are N active nodes, the efficiency of slotted ALOHA is Np(1-p)N-1. Find the value of p that maximizes this expression. b. Using the value of p found in (a), find the efficiency of slotted ALOHA by letting N approach infinity. Hint: (1-1/N)N approaches 1/e as N approaches infinity.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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