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The buffer of a computer system works according to the FIFO system (first in, first out). For simplicity, we assume that the actual occupancy of the buffer varies in a continuous manner over time. At a given time to, the occupancy of the buffer is identical to that of 3 milliseconds before. Show that there is at least one moment t, within that 3 millisecond time span for which the buffer occupancy was the same as 1 millisecond before t₁.

The buffer of a computer system works according to the FIFO system (first in, first out). For simplicity, we assume that the actual occupancy of the buffer varies in a continuous manner over time. At a given time to, the occupancy of the buffer is identical to that of 3 milliseconds before. Show that there is at least one moment t, within that 3 millisecond time span for which the buffer occupancy was the same as 1 millisecond before t₁.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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14. The buffer of a computer system works according to the FIFO system (first in, first out). For simplicity, we assume that the actual occupancy of the buffer varies in a continuous manner over time. At a given time to, the occupancy of the buffer is identical to that of 3 milliseconds before. Show that there is at least one moment t₁ within that 3 millisecond time span for which the buffer occupancy was the same as 1 millisecond before t₁.
Transcribed Image Text:14. The buffer of a computer system works according to the FIFO system (first in, first out). For simplicity, we assume that the actual occupancy of the buffer varies in a continuous manner over time. At a given time to, the occupancy of the buffer is identical to that of 3 milliseconds before. Show that there is at least one moment t₁ within that 3 millisecond time span for which the buffer occupancy was the same as 1 millisecond before t₁.
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