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|Title: ||On scheduling an unbounded batch machine|
|Authors: ||Liu, Zhaohui|
Yuan, J. J.
Cheng, T. C. Edwin
|Issue Date: ||Jan-2003 |
|Publisher: ||Elsevier Science B.V.|
|Citation: ||Operations research letters, Jan. 2003, v. 31, no. 1, p. 42-48.|
|Abstract: ||A batch machine is a machine that can process up to c jobs simultaneously as a batch, and the processing time of the batch
is equal to the longest processing time of the jobs assigned to it. In this paper, we deal with the complexity of scheduling an
unbounded batch machine, i.e., c=+∞. We prove that minimizing total tardiness is binary NP-hard, which has been an open
problem in the literature. Also, we establish the pseudopolynomial solvability of the unbounded batch machine scheduling
problem with job release dates and any regular objective. This is distinct from the bounded batch machine and the classical
single machine scheduling problems, most of which with different release dates are unary NP-hard. Combined with the existing results, this paper provides a nearly complete mapping of the complexity of scheduling an unbounded batch machine.|
|Rights: ||Operations Research Letters © 2002 Elsevier Science B.V. The journal web site is located at http://www.sciencedirect.com.|
|Type: ||Journal/Magazine Article|
|Appears in Collections:||LMS Journal/Magazine Articles|
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