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i looking for a formula for collison backoff algorithm to find the average time to successfully transmit a complete frame. i have the the sslot time and successive collision.
Well, first, the backoff algorithms are usually at the MAC (Medium Access Control) layer, so it depends what medium (thin Ethernet, UTP Ethernet, Fast, GigE, 10Gig, Wireless, etc) you're talking about. When I was taught this subject years ago, the backoff algorithm used by Ethernet was exponential, starting maybe at 2 clock ticks or something. (Then 4, then 8, then 16). But maybe there was a random fuzz factor involved. (If there is, then computing the average would be to compute the mean of the random range, and add that to whatever).