Measurements of the production of Lambda particles in S+Pb and S+S col
lisions at a beam momentum of 200 GeV/c per nucleon are presented. The
S+Pb data was taken with two different experimental configurations, a
nd the results agree well with each other. The effects of a new Monte
Carlo simulation of the NA36 TPC on the efficiency calculations are di
scussed. The Lambda rapidity and multiplicity distributions are then c
ompared to three theoretical models of heavy ion interactions, and to
the NA35 results. There is still a significant disagreement between th
e two experiments. The comparison to the models indicates that reinter
actions of secondaries are important in explaining the observed Lambda
yields. Finally, the yields of doubly strange baryons in S+Pb interac
tions have been recalculated using the new efficiencies. The ratios of
double to singly strange baryons are unchanged from the previously pu
blished results.