Ja. Hoogeveen et al., COMPLEXITY OF SCHEDULING MULTIPROCESSOR TASKS WITH PRESPECIFIED PROCESSOR ALLOCATIONS, Discrete applied mathematics, 55(3), 1994, pp. 259-272
We investigate the computational complexity of scheduling multiprocess
or tasks with prespecified processor allocations. We consider two crit
eria: minimizing schedule length and minimizing the sum of the task co
mpletion times. In addition, we investigate the complexity of problems
when precedence constraints or release dates are involved.