Several production and flexible manufacturing systems can naturally be
modelled using queueing networks. In this paper, we consider the prob
lem of acquiring servers for the nodes of an open queueing network, so
as to optimize the steady-state mean virtual system parameters subjec
t to a budget constraint. A partial enumeration scheme and a heuristic
method have been proposed to solve this problem. Empirical results ba
sed on randomly generated test problems are used to identify a class o
f problems for which the heuristic performs well.