Strange particles produced in S-Au/W/Pb 200 A GeV and Pb-Pb 158 A GeV react
ions are described invoking final hadronic phase space in thermal equilibri
um, but allowing chemical nonequilibrium. Several sets of statistical freez
e-out parameters are obtained for each system, invoking different models of
dense matter. We show that only when allowing for strange and nonstrange f
lavour abundance nonequilibrium. a statistically significant description of
the experimental results is obtained. Physical properties of the fireball
at chemical freeze-out condition are evaluated and considerable universalit
y of hadron freeze-out between the two different collision systems is estab
lished. The relevance of the Coulomb effect in the highly charged Pb-Pb fir
eballs for the chemical analysis are discussed. The influence of explosive
collective matter flow is also described.