Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/1082
Title: Scheduling start time dependent tasks with deadlines and identical initial processing times on a single machine
Authors: Cheng, TCE 
Ding, Q
Keywords: Sequencing
Time dependence scheduling
Computational complexity
Issue Date: Jan-2003
Publisher: Pergamon (Elsevier)
Source: Computers & operations research, Jan. 2003, v. 30, no. 1, p. 51-62 How to cite?
Journal: Computers & operations research 
Abstract: In this paper, we study the feasibility problem of scheduling a set of start time dependent tasks on a single machine with deadlines, processing rates and identical initial processing times. First, we show that the cases with arbitrary deadlines are strongly NP-complete. Second, we show that the cases with two distinct deadlines are NP-complete in the ordinary sense. Finally, we give an optimal polynomial algorithm for the makespan problem with two distinct processing rates. We solve a series of open problems in the literature and give a sharp boundary delineating the complexity of the problems.
URI: http://hdl.handle.net/10397/1082
ISSN: 0305-0548
DOI: 10.1016/S0305-0548(01)00077-6
Rights: Computers & Operations Research © 2002 Elsevier Science Ltd. The journal web site is located at http://www.sciencedirect.com.
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