This Forbes article advances a strategy to make the minimum required payment and invest the difference. This may be of particular interest to those borrowers in an income driven repayment (IDR) program.
http://www.forbes.com/sites/davidmarotta/2015/07/26/how-quickly-should-i-pay-my-student-loans/
http://www.forbes.com/sites/davidmarotta/2015/07/26/how-quickly-should-i-pay-my-student-loans/