We propose a new algorithm, least space-time first (LSTF), for dealing
with the general complex-task-multiple-processor model. The results o
f the proof and simulation shown that LSTF outperforms other establish
ed heuristic algorithms (such as earliest-deadline-first) in the sense
that it minimizes the maximum tardiness of a set of tasks. LSTF can g
racefully incorporate some realistic overhead assumptions, such as con
text switch.