A resident may apply for a furlough if he or she is not precluded from doing so under this section. A resident shall be ineligible to apply for a furlough if:

(1) He or she is not classified by the secretary as eligible for or on minimum security status; or

(2) His or her minimum term of imprisonment has not been set; or

(3) He or she has a valid detainer pending and the agency holding the detainer has not provided written approval for him or her to be placed on a furlough-eligible status. Such written approval may include either specific approval for a particular resident or general approval for a class or group of residents.