The Jargon File (version 4.4.7, 29 Dec 2003):

BFI
 /B?F?I/, n.

    See brute force and ignorance. Also encountered in the variants BFMI, ?
    brute force and massive ignorance? and BFBI ?brute force and bloody
    ignorance?. In some parts of the U.S. this abbreviation was probably
    reinforced by a company called Browning-Ferris Industries in the
    waste-management business; a large BFI logo in white-on-blue could be seen
    on the sides of garbage trucks.


The Free On-line Dictionary of Computing (30 December 2018):

brute force and ignorance
BFI

    (BFI) A popular design technique at many software
   houses - brute force coding unrelieved by any knowledge of
   how problems have been previously solved in elegant ways.
   Dogmatic adherence to design methods tends to encourage this
   sort of thing.  Characteristic of early larval stage
   programming; unfortunately, many never outgrow it.

   Also encountered in the variants BFMI - brute force and
   massive ignorance, and BFBI - brute force and bloody
   ignorance.

   "Gak, they used a bubble sort!  That's strictly BFI."

   Compare bogosity.

   [Jargon File]

   (1996-06-12)