On private property, a container needs no separate permit in Madison Heights. Your own driveway, a commercial parking area or a fenced work area are all straightforward.
The public ground is where the code is thin, and that cuts both ways. We read the streets and sidewalks chapter and the excavations chapter end to end and neither names a container, a dumpster or an obstruction permit at all. The only rule that touches a container on public ground is written for collection day: nothing to be disposed of may be placed in a public street, alley or other public place, or in a front or side yard, earlier than 12 hours before the regular collection time, and it has to be gone no later than 12 hours after collection. That is a rule for a cart on a Tuesday, not a route for a project container on a Thursday.
So the honest answer is that a multi-day container belongs on private property here, and a street placement is a question to put to the City rather than a form to file.
There are two authorizations to be aware of, and your account manager handles both. At a residential address the City's own rules say no resident or occupant may dispose of bulky waste, general waste or garbage except to an authorized collector of the city. And the City requires a general business license from anyone providing goods or services at or from any location in the city, which on the face of the words reaches a container delivered to a Madison Heights address. Neither is a form you fill in. Your account manager confirms the City's position on your address before anything is scheduled, and we will tell you if there is a hold-up rather than deliver into one.
Oakland County is the other place a requirement could sit, and the county's own pages on it would not open for us, so we make no claim either way about a county step. Your account manager checks it rather than assuming.
Madison Heights City Hall is at 300 West Thirteen Mile Road, and that is the office to reach for the construction permit itself. Your account manager will point you to the right desk.