Question

If originally RTT_{S} = 16 ms with α = 0.125 and β =
0.25.

Calculate the new RTT_{S} after the following events (times
are relative to event 1)

Event 1: | 00 ms | Segment 1 was sent | RTT_{S} = ms |

Event 2: | 10 ms | Segment 2 was sent | RTT_{S} = ms |

Event 3: | 16 ms | Segment 1 timed out and resent | RTT_{S} = ms |

Event 4: | 21 ms | Segment 1 was acknowledged | RTT_{S} = ms |

Event 5: | 34 ms | Segment 2 was acknowledged | RTT_{S} = ms |

Answer #1

**Inirial RTT** (Original RTT)=16ms

**Alpha** (Smoothing Factor)=0.125

**Beta** (Deviation Factor)=0.25

Here we have to find out the the RTT (Round Trip time) after all the events (after segment 2 is acknowledged)

Since the question didn't asked for Time out timer so we don't need to calculate Deviation Factor (Usually caculated through Jacobson Algorighm) so we don't need beta value here.

**Segment 1** is sent at 0ms and acknowledged at
21ms means * Actual RTT of Segment 1* is
21ms and initial RTT was 16ms. So after recieving Segment 1 the
next updated RTT will be

RTT1 (updated RTT after acknowleding segment1 ) =
(** Alpha**)* (

RTT1 = (0.125)*(16)+(0.875)*(21)

RTT1 = 20.375

Now for the next RTT we will use RTT1

The next segment was being sent at 10ms and acknowledged at 34ms means Actual RTT of Segment 2 is 24ms and the RTT1 was 20.375. So the RTT after recieving Ack for segment 2 will be :

* RTT2* (updated RTt after acknowleding
Segment2
)=(

* RTT2*
=(0.125)*(20.375)+(0.875)*(24)

** RTT2**= 23.546875

So here is the Final RTT after all the events is RTT2=23.546875

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