By Patrik Björklund.
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Extra resources for Applications of resource optimization in wireless networks
The distance between MALs i and j in the frequency spectrum. the minimum distance between the MALs at STRX p and STRX q. the set of feasible frequencies at STRX p. the number of TRXs in STRX p. The variables in the FAPH model are: xip = 1 0 if MAL i is assigned to STRX p otherwise. t. 9) aadj ij = |(f : f ∈ Mi , f + 1 ∈ Mj )| + |(f : f ∈ Mi , f − 1 ∈ Mj )| g(|Mi |, |Mj |). 10) Mi and Mj are the MALs for STRX p and STRX q respectively. The factor g(|Mi |, |Mj |) is a function which includes the gain from FH.
Note that the above enhancement does not compromise the solution optimality. In particular, the upper bound of the threshold ensures that optimality is reached within a ﬁnite number of iterations. The second enhancement concerns the generation of maximum feasible groups, We call a transmission group maximum feasible, if the addition of any new node (or link) will make the group infeasible. Note that, for both NSCF and LSCF, there exists at least one optimal solution in which all the transmission groups are maximum feasible.
6) ensures that the number of feasible frequencies chosen is l. 7) summarizes the number of common frequencies between STRX p and STRX q. 8) deals with the sum of adjacent frequencies between STRX p and STRX q. The separation requirement in the MAL for STRX p must be valid. 9) ensures that two frequencies v and w can not be assigned to the same MAL, unless the internal separation requirement dp is fulﬁlled. 10) ensures that the separation requirement between two STRXs is valid. If frequency w is assigned to MAL Mj , the frequency v can not be assigned to the MAL for STRX p if the distance is smaller than dpq .