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Authors:
James F. Kurose, Keith W. Ross
Chapter:
Multimedia Networking
Exercise:
Problems
Question:2 | ISBN:9780132856201 | Edition: 6

Question

Recall the simple model for HTTP streaming shown in Figure 7.3. Recall that B denotes the size of the client’s application buffer, and Q denotes the num- ber of bits that must be buffered before the client application begins playout. Also r denotes the video consumption rate. Assume that the server sends bits at a constant rate x whenever the client buffer is not full.

a. Suppose that x < r. As discussed in the text, in this case playout will alter- nate between periods of continuous playout and periods of freezing. Determine the length of each continuous playout and freezing period as a function of Q, r, and x.

b. Now suppose that x > r. At what time t = tf does the client application buffer become full?

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Answer

a)

 

Consider the analysis of client-side buffering for video streaming(figure 7.3):

Now assume ‘B’ represents the size of the client’s application buffer, and ‘Q’ represents the number of bits and ‘r’ indicates the video consumption rate in above figure.

There must be buffered before the client application begins play out while begins with Q bits and rate decreases at ‘r-x’ times

Assume that the server sends bits at a constant rate ‘x’ and x < r, if the client buffer is not full.  The playout will alternate between periods of continuous playout and periods of freezing is \frac{Q}{x} seconds.

 

Therefore, the freezing period is \frac{Q}{x} seconds.

b)

 

Assume that x > r.

 

If the client application buffer become full, then the freezing time period Q/X  to add additional B-Q bits.

 

That is\frac{Q}{x}+\frac{B-Q}{x-r}

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