In 29 games last season, Taylor averaged 4.4 points and 1.8 rebounds.
Luebke, who hasn't pitched in the big leagues since 2012, has made six rehab appearances so far in Class A and Double-A. He has allowed two hits and three runs, and owns a 4.50 ERA.
Robinson will become an unrestricted free agent. In 35 games last season, Robinson averaged 2.1 points and 1.1 rebounds.
To clear one spot in the rotation, Tim Lincecum will go on the disabled list. However, it is not certain what the other move will be to clear the second spot in the rotation.
Bochy wouldn't say what will happen to veteran starting pitcher
Hudson is 5-7 with a 4.68 ERA through 15 starts.
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