Bicriterion scheduling problems have attracted the attention of many r
esearchers, especially in the past decade. Although more than fifty pa
pers have been published on this topic, most studies done so far focus
only on a single machine. In this paper, we extend the development to
the two-machine case and present algorithms for the bicriterion of mi
nimising makespan and number of tardy jobs and of makespan and total t
ardiness. Computational results are also presented.