AtrafficsourceemitsburstsofdataatapeakrateR,lastingtimeB.ThechannelservingthesourcehasabasecapacityCmin.Whenanewburstisdetected,thecapacityiseventuallyincreasedtoitsmaximumvalueCmaxafteratimeDsince...

AtrafficsourceemitsburstsofdataatapeakrateR,lastingtimeB.ThechannelservingthesourcehasabasecapacityCmin.Whenanewburstisdetected,thecapacityiseventuallyincreasedtoitsmaximumvalueCmaxafteratimeDsince the beginning of the burst, if it is still going on. Once the output capacity is increased to C_max, it remains at that value until the buffer is completely drained. Use a fluid approximation in all your calculations.

(a) Assume C_max
= R and B>D. Calculate the amount of time required to clear the backlog.

(b) Do again the calculation of point (a), this time assuming that R>C_max
and B>D.

(c) Repeat point (a),assuming that C_max
= R and B bean gative exponential random variable with mean 1∕. In this case, calculate the mean time required to clear the backlog.