Bryan Shaw, the busiest reliever in the big leagues over the last five years, is not expected to be back with the Indians next year.

The Indians, it has been learned, don't think that they will be able to compete with the kind of offers Shaw is expected to receive this winter on the free agent market. Shaw and five other Indians will be free to field bids from other teams on Tuesday.

Shaw has made more appearances than any big-league reliever in the last five years. He's pitched in 378 games, all with the Indians, in that time. He was acquired from Arizona along with Trevor Bauer in a three-team trade in December of 2012.

The Indians have had one of the top bullpens in baseball over the last several years. The cost of keeping that pen intact has grown. Closer Cody Allen is expected to make an estimated $11 million through arbitration this winter. Set-up man Andrew Miller, entering the last year of his deal, will make $9 million this year.

Shaw made $4.6 million this season. He's expected to be in line for a three or four-year deal worth an estimated $8 million a year.

If the Indians tried to keep Shaw at those prices, it would mean they'd be paying their top three relievers close between $28 million and $30 million in 2018.