Additional observational strength will eventually make it possible to identify the correct maximum. An obvious advantage of AFT is that it does not suffer from the presence of cycle slips. Since cycle slips change the double difference function by a multiple of 2 pi, the cosine does not change. The disadvantage of AFT is that many points within the search volume must be evaluated. One might envision a centimeter grid spacing within the search volume.
Various strategies exist to accelerate the solution.
For example, one might first proceed with a coarse grid to obtain preliminary maxima and might investigate potential solutions using a small search cube with a narrow grid. Furthermore, the cosines of the individual double differences can be tested against a threshold value. As soon as this test fails, the computations can be stopped and the next trial position can be considered. The smaller the search volume, the less is the computational load. The initial search volume might be reduced by first carrying out the wide-lane solution.