Consider a pure ALOHA network with an infinite number of nodes on a straight line path of length ‘n’ units. Each packet transmission is of a unit length in time. The transmissions are attempted according to the Poisson process of rate G. Considering that in this network only broadcasts are done: wherein each transmission is to be received by all of the nodes. A transmission is considered to be successful only if it is received correctly at all the nodes. Compute the conditional probability that a transmission starting at location ‘x’ is successful ( 0 ≤ ? ≤ ?).

Consider a pure ALOHA network with an infinite number of nodes on a straight line path of length ‘n’ units. Each packet transmission is of a unit length in time. The transmissions are attempted according to the Poisson process of rate G. Considering that in this network only broadcasts are done: wherein each transmission is to be received by all of the nodes. A transmission is considered to be successful only if it is received correctly at all the nodes. Compute the conditional probability that a transmission starting at location ‘x’ is successful ( 0 ≤ ? ≤ ?).

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter9: Integer Programming

Section9.6: Solving Combinatorial Optimization Problems By The Branch-and-bound Method

Problem 3P

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