Looking to fortify a bullpen that has blown more than a third of its save chances, the
Left-hander Jesus Luzardo and infielder Sheldon Neuse were sent to Oakland as part of Sunday's deal.
A 36-year-old right-hander, Madson has a 2.06 ERA and is seventh among relievers in hits plus walks per inning at 0.79. He has not allowed any of the seven inherited runners to score in his past 13 appearances.
Doolittle is a 30-year-old left-hander who has held left-handed batters hitless in 23 at-bats this year with 12 strikeouts and no walks. He is 1-0 with three saves, a 3.38 ERA and 31 strikeouts in 21 1/3 innings.