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It is worth noticing that node i sorts and forwards packets in L in decreasing order of their types and qualities from node j's point of view.
In this case, we can avoid this problem by finding the probability that the household head i sorts any location j given by Eq. (1).
Second, node i sorts L based on the packets' types and qualities on node j, that is, prime packets are in front of ordinary packets, and packets with high qualities are in front of those with low qualities for each type.
We say that an i-sequence of reversals ρ1... ρ i sorts a permutation π into a permutation π T if π ∘ ρ1... ρ i = π T. The length of a shortest sequence of reversals sorting a permutation π into π T is called the reversal distance of π and π T, and is denoted by d π, π T ).
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CEO of Professional Science Editing for Scientists @ prosciediting.com