A router receives packets from a group of users transmitting in a multiple access system by time division (TDMA), in which everyone uses the same frequency and transmit in instants of time many different. Assuming the packets arrive accordingly with the Poisson process at the rate of one packet every 4 ms (milliseconds) and assuming that the instants of Packet transmission time is exponentially distributed with a mean of 3 ms. Given this scenario, calculate: a)The average of packets on the system. (b) The average total system delay. (c) What percentage increase in the arrival rate results in a doubling of the delay average total calculated in part (a)?

A router receives packets from a group of users transmitting in a multiple access system by time division (TDMA), in which everyone uses the same frequency and transmit in instants of time many different. Assuming the packets arrive accordingly with the Poisson process at the rate of one packet every 4 ms (milliseconds) and assuming that the instants of Packet transmission time is exponentially distributed with a mean of 3 ms. Given this scenario, calculate: a)The average of packets on the system. (b) The average total system delay. (c) What percentage increase in the arrival rate results in a doubling of the delay average total calculated in part (a)?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.4: The M/m/1/gd/∞/∞ Queuing System And The Queuing Formula L = Λw

Problem 7P

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