BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TN-97-58 ENTRY:: August 18, 1997 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Precedence Constrained Scheduling to Minimize Weighted Completion Time on a Single Machine. TYPE:: Technical Note AUTHOR:: Chekuri, Chandra AUTHOR:: Motwani, Rajeev DATE:: August 1997 PAGES:: 6 ABSTRACT:: We consider the problem of scheduling a set of jobs on a single machine with the objective of mimizing weighted (average) completion time. The problem is NP-hard when there are precedence constraints between jobs, [12] and we provide a simple and efficient combinatorial 2-approximation algorithm. In contrast to our work, earlier approximation altorithms [9] achieving the same ratio are based on solving a linear programming relaxation of the problem. NOTES:: [Adminitrivia V1/Prg/19970624] END:: STAN//CS-TN-97-58