BIB-VERSION:: CS-TR-v2.0 ID:: ncstrl.dartmouthcs//TR96-295 ENTRY:: March 06, 1997 ORGANIZATION:: Dartmouth College, Computer Science TITLE:: On the Existence of Schedules that are Near-Optimal for both Makespan and Total Weighted Completion time TYPE:: Technical Report (paper) REVISION:: 1 AUTHOR:: Stein, Clifford AUTHOR:: Wein, Joel DATE:: July 1996 RETRIEVAL:: For a paper copy, email RETRIEVAL:: For a paper copy, write to Technical Report Librarian Department of Computer Science Dartmouth College 6211 Sudikoff Laboratory Hanover, NH 03755-3510 USA RETRIEVAL:: Compressed Postscript at http://www.cs.dartmouth.edu/reports/TR96-295.ps.Z RETRIEVAL:: PDF at http://www.cs.dartmouth.edu/reports/TR96-295.pdf ABSTRACT:: We give a simple proof that, for any instance of a very general class of scheduling problems, there exists a schedule of makespan at most twice that of the optimal possible and of total weighted completion time at most twice that of the optimal possible. We then refine the analysis, yielding variants of this theorem with improved constants, and give some algorithmic consequences of the technique. END:: ncstrl.dartmouthcs//TR96-295