Recent content by hemanth

Arrivals are Poisson distributed with parameter $$ \lambda$$. Consider a system, where at the time of arrival of a tagged packet, it sees $$N_Q$$ packets. Given that the tagged packet arrives at an instant $$t$$, which is uniform in [0, T], what is the probability that all $$N_Q$$ packets...

If X is a random variable distributed uniformly in [0, Y], where Y is geometric with mean alpha. i) Is this definition valid for uniform distribution ? ii) If it is valid, what is the pdf of the transformation Y-X?

Given that an Poisson arrival has occurred in an interval [0,t], where t is geometric with mean (alpha). Is it true that the arrival instant is uniform in [0,t]?

When the first system goes off when an arrival is being served, the service is continued from the left point when it again becomes on (preemptive resume). subsequent arrivals when one is being served are queued, and served one after the other during the ON periods of the first system.

Thanks a lot CB, i have one more question, [FONT=arial]i have a process which is ON for exponential duration with mean alpha,and then it goes OFF. [FONT=arial]once it is OFF, it remains OFF for an exponential duration with mean beta then again it comes back to ON and this ON-OFF continues...

thanks a lot $\chi$ $\sigma$, i was wondering whether this could be done directly, this was obvious but not sure with the proof. was thinking to find the pdf and do the long way. thanks a lot

[FONT=arial]i have a machine which runs for exponential duration with mean alpha,and fails. [FONT=arial]once it fails, to repair it, it takes an exponential duration with mean beta then again it comes back to service and this continues. [FONT=arial] what is the probability that it is in non...