What is the number of messages required to send a file F of 4 Mbits from one station to another? Assuming that a station cannot send a new message until it receives an acknowledgment of the successful reception of the previously sent message. The acknowledgment takes the form of a 16-bit message. A timer is set to a duration T after the sending of each message. If time T expires before receiving an acknowledgment, the sending station resends the same message. The distance between the two farthest stations in the network is 1 km. The signal propagation speed is v = 200,000 km/s. What is the minimum value of T? (

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.10: Exponential Queues In Series And Open Queuing Networks
Problem 8P
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Consider a network with a data rate of 10 Mbps. Messages sent on this network have a maximum size of 1000 bits, including a 16-bit control field.

  1. What is the number of messages required to send a file F of 4 Mbits from one station to another?
  2. Assuming that a station cannot send a new message until it receives an acknowledgment of the successful reception of the previously sent message. The acknowledgment takes the form of a 16-bit message. A timer is set to a duration T after the sending of each message. If time T expires before receiving an acknowledgment, the sending station resends the same message. The distance between the two farthest stations in the network is 1 km. The signal propagation speed is v = 200,000 km/s. What is the minimum value of T? (You ignore the queuing time and the processing time and use only the propagation time and the transmission time)
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