The Marlins added some much-needed bullpen depth Tuesday, signing veteran reliever Jon Rauch to a one-year deal worth $1 million. Rauch, 34, figures to slot into the back of the bullpen, possibly setting up for closer-apparent Steve Cishek. Rauch is a 10-year veteran who has spent parts of six seasons in the National League East. He posted a 3.59 ERA in 73 appearances in 2012 for the New York Mets. He struck out 42 batters and walked 12 in 57 2/3 innings. At 6-11, Rauch is the tallest player in the majors. He’s also a hard thrower and has posted an ERA below 3.61 in three of his last four seasons, appearing in 260 games over that span. That includes a 3.12 (57.2/20) mark for Minnesota in 2010, when he went 3-1 and converted a career-high 21 saves. For his career, Rauch is 42-38, 3.80 in 541 games (11 starts) with the Chicago White Sox (2002, 2004), Montreal/Washington (2004-08), Arizona (2008-09), Minnesota (2009-10), Toronto (2011) and the Mets (2012). He has 62 career saves in 93 chances. Since becoming a full-time reliever in 2006, Rauch leads the Majors in appearances (507) and relief wins (34). To make room for Rauch on the 40-man roster, the Marlins designated outfielder Bryan Petersen for assignment. Rauch can earn another $750,000 based on how many days he’s on the Marlins’ roster — $250,000 each for 90 days, 120 and 150.