We study the nonpreemptive parallel machines scheduling problem where
some of the machines are planned to be shutdown. We apply LPT algorith
m to the problem and analyze its performance. Our analysis shows that
the makespan of the LPT schedule is bounded by twice the optimum makes
pan if no more than half of the machines are allowed to be shutdown si
multaneously. We also show that this bound is tight by constructing a
worst-case example. (C) 1998 Elsevier Science Ltd. All rights reserved
.