Approximation algorithms for minimizing the total weighted tardiness on a single machine
نویسندگان
چکیده
منابع مشابه
Approximation algorithms for minimizing the total weighted tardiness on a single machine
Given a single machine and a set of jobs with due dates, the classical NP-hard problem of scheduling to minimize total tardiness is a well-understood one. Lawler gave an FPTAS for it some twenty years ago. If the jobs have positive weights the problem of minimizing total weighted tardiness seems to be considerably more intricate. In this paper, we give some of the first approximation algorithms...
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The single machine total weighted tardiness with release dates problem is known to be strongly NP-hard. With a new lower bounding scheme and a new upper bounding scheme, we get an efficient branch and bound algorithm. In the paper, we first introduce the history of the problem and its computational complexity. Second, the lower bounding schemes and the upper bounding schemes are described in de...
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In this paper we look at the problem where we have to schedule n jobs with release dates, due dates, weights, and equal processing times on a single machine. The objective is to minimize the sum of weighted tardiness (1|rj , pj = p| ∑ wjTj in the threefield notation scheme). We formulate the problem as a time indexed ILP after which we solve the LP-relaxation. We show that for certain special c...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2006
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2005.11.039