3. In an M/M/2 communication node, packets arrive according to a Poisson process of rate 18 packets per second. The system has two parallel crossbar switches, and each switch spends an exponentially distributed amount of time with mean 100 ms to process a packet. (a) Find the probability that an arriving packet must wait to be processed. (b) Find the mean number of packets in the system. (c) Find the mean time a packet spends in the system. (d) Find the probability that more than 50 packets are in the system.

3. In an M/M/2 communication node, packets arrive according to a Poisson process of rate 18 packets per second. The system has two parallel crossbar switches, and each switch spends an exponentially distributed amount of time with mean 100 ms to process a packet. (a) Find the probability that an arriving packet must wait to be processed. (b) Find the mean number of packets in the system. (c) Find the mean time a packet spends in the system. (d) Find the probability that more than 50 packets are in the system.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Network transmission cabling

A network is a collection of devices connected by communication links. A device can be a computer or any instrument capable of sending and receiving data or information formed by other nodes toward the network. A channel that connects people or things is known as a network. It sends the data from one place to another. It is the basic concept of a computer, network, and data communications.

Question

3. In an M/M/2 communication node, packets arrive according to a Poisson process of rate 18 packets
per second. The system has two parallel crossbar switches, and each switch spends an exponentially
distributed amount of time with mean 100 ms to process a packet.
(a) Find the probability that an arriving packet must wait to be processed.
(b) Find the mean number of packets in the system.
(c) Find the mean time a packet spends in the system.
(d) Find the probability that more than 50 packets are in the system.

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