A Note on Scheduling Equal-Length Jobs to Maximize Throughput
  We study the problem of scheduling equal-length jobs with release times and deadlines, where the objective is to maximize the number of completed jobs. Preemptions are not allowed. In Graham's notation, the problem is described as 1|r_j;p_j=p|\sum U_j. We give the following results: (1) We show that the often cited algorithm by Carlier from 1981 is not correct. (2) We give an algorithm for this problem with running time O(n^5). 
Marek Chrobak, Christoph Durr, Wojciech Jawor, Lukasz Kowalik, Maciej   Kurowski