  The traveling tournament problem is a well-known benchmark problem of the
sports scheduling. We propose an approximation algorithm for the traveling
tournament problem with the constraints such that both the number of
consecutive home games and that of consecutive away games are at most two
(called TTP(2)). The approximation ratio of the proposed algorithm is 1 + 24/n
for n teams, which is the first 1 + O(1/n) approximation algorithm for TTP(2).
