  The optimization of facility-based systems is considered. First, the
congestion game is converted into a matrix form, so that the matrix approach is
applicable. Then, a facility-based system with a system performance criterion
is considered. A necessary and sufficient condition is given to assure that the
system is convertible into a congestion game with the given system performance
criterion as its potential function by designing proper facility-cost
functions. Using this technology, for a dynamic facility-based system the
global optimization may be reached when each agent optimizes its payoff
functions. Finally, the approach is extended to those systems which are partly
or nearly convertible.
