This paper presents a method designed to estimate bounds on the Qualit
y of Service (QoS) provided by LAN/MAN networks. This method is a resu
lt of the amalgamation of a number of previous approaches. It can be a
pplied whenever the LAN/MAN technologies are characterized by MAC prot
ocols with a cyclic behaviour. The key idea is the definition of a wor
st-case model of the communication system and its study via an embedde
d Markov chain. Two solution techniques have been identified. The firs
t is based on the z-transform technique, and provides a closed formula
for the probability generating function (PGF) of the distribution of
the number of packets in the system. The second exploits the theory de
veloped by Neuts for M/G/1 type Markov chains to provide a numerical s
olution for the distribution of delay and buffer size. The method, and
an assessment of its accuracy, are presented by studying a general mo
del of a MAC protocol which behaves like a polling system with an exha
ustive-limited service discipline. Finally, the method is applied to F
DDI and CRMA.