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** NOTE: The "Walrand 1st ed." problems are on the "Non-textbook problems" handout. The "Walrand 2nd ed." problems are in your textbook. Walrand 2nd ed. #6.2: Walrand 2nd ed. #6.3: Walrand 2nd ed. #6.4: Walrand 2nd ed. Appendix A #8: Walrand 1st ed. #2.12: The denominator for B given should read "1 + rho + rho^2 / 2! + ...". The "1" was missing on the scanned copy. You should be able to solve for N=1 and N=2 on paper. You will need to write a spreadsheet or program to solve for N=3 and N=4. (Some spreadsheets however may have difficulty calculating factorials of large numbers.) Interpret your answer for N=1. Walrand 1st ed. #2.14: (a) "Draw a diagram ..." - This should be a graph showing the number of bits in the buffer as a function of time. (b) "Using your diagram ..." - Write an expression for the delay from the time until the 1st packet arrives until its transmission is complete. Write similar expressions for the 2nd and 3rd packets. (c) "Give a simple condition ..." - Give me mathematical expressions that if true will result in the queueing times to be 0. (d) "Exhibit arrival times ..." - Draw a function, as in part (a), showing your choice of arrival times for at least 10 packets and the resulting buffer content. Walrand 2nd ed. #9.8: Make the following changes to the information given. First, change the arrival rate from "1Mbs" to 10 Mbps. Second, "10 and 20 Mbs" means "10 and 20 Mbps". Third, change the delay constraint from "0.10 microsec" to 1 millisec. Finally, assume a packet length of 1000 bits. |
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| Scott Jordan | last modified 10/13/08 | UCI CS Networked Systems |