Question: Suppose five active nodes A, B, C, D and E are competing for access to a channel using slotted ALOHA. Assume each node has an

Suppose five active nodes A, B, C, D and E are competing for access to a channel using slotted ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each slot with probability p. The first slot is numbered slot 1, second slot is numbered slot 2 and so on

a. What is the probability that node B succeeds for the first time in slot 3. Think about what should happen for node B to succeed in slot 3 for first time. What should happen in slot 1 and 2? Workout the probabilities of these individual events. As these events are what we call mutually exclusive events, the overall probability of that event is the multiplication of individual events.

b. What is the probability that some node (either A, B, C, D or E) succeeds for the first time in slot 3?

c. What is the probability that the first success (for any of the nodes) occurs in slot 3? d. What is the efficiency/utilisation of this four node system?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Suppose three active nodes A, B, and C are competing for accessing a channel using slotted ALOHA. Assume each node has infinitely many packets to send. Each node transmits in each slot with...

Problem 4 Suppose three active nodes A, B, and C are competing for accessing a channel using slotted ALOHA. Assume each node has infinitely many packets to send. Each node transmits in each slot with...

Suppose four active nodes (a, b, c, d) are competing for access to a wireless channel using ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each...

Need correct answer with detailed calculation Suppose nodes A, B, C, D, and E are competing to have access to a shared channel using slotted ALOHA. Each node attempts to transmit in each slot with...

Suppose nodes A, B, C, D, and E are competing to have access to a shared channel using slotted ALOHA. Each node attempts to transmit in each slot with probability p independently. The first slot is...

5 ) [ 2 0 points ] A . Consider two nodes, A and B , that use the slotted ALOHA protocol to contend for a channel. Suppose node A has more data to transmit than node B , and node A ' s retransmission...

Slotted ALOHA is one of the simplest random access protocols that a transmitting node always transmits at the full rte of the channel as Rbps: when there is a collision, each node involved in the...

a) Suppose the information content of a packet is the bit pattern 1110 0110 1001 1101 and an even parity scheme is being used. What would the value of the field containing the parity bits be for the...

Question 7 ( 5 points ) Listen Slotted ALOHA is one of the simplest random access protocols that a node always transmits at the full rte of the channel as R bps: when the each node involved in the...

Introduction to Computer Networks Homework # 6 due on December 2 9 th 1 . ( 1 0 points ) If all the links in the Internet were to provide reliable delivery service, would the TCP reliable delivery...

A household refrigerator that has a power input of 450 W and a COP of 1.5 is to cool 5 large watermelons, 10 kg each, to 8C. If the watermelons are initially at 28C, determine how long it will take...

1. How do the innovation ideas described here support the creation and maintenance of a high-performance work system? What element(s) of a high-performance work system do these efforts relate to? 2....

How much All Other Motor Gas Blending Components is imported into the state of South Carolina? 9 4 3 0 9 0 9 6 1 9 2 2

Required information [The following information applies to the questions displayed below Fitness Fanatics is a regional chain of health clubs. The managers of the clubs, who have authority to make...

What were your most important educational experiences?

How was your life influenced by those events?

Which of these influenced your life most dramatically?