In this paper we describe a decision support system developed to help in as
sessing the need for various types of prison cells. In particular we predic
t the probability that a criminal has to be sent home because of a shortage
of cells. The problem is modelled through a queuing network with blocking
after service. The main objective of our study is to describe our analytica
l method and an approximate algorithm to solve this network. Through simula
tion studies we evaluate our method. Both the analytic and the simulation t
ool are elements of the decision support system.