This paper considers the problem of preemptive on-line scheduling for two u
niform processors in which one of the processors has speed 1 and the other
has speed s greater than or equal to 1. The objective is to minimize the ma
kespan. A best possible algorithm with competitive ratio of(1 + s)(2)/(1 s + s(2)) is proposed for this problem. (C) 1998 Elsevier Science B.V. All
rights reserved.