Minimizing total weighted earliness-tardiness on a single machine around a small common due date: an FPTAS using quadratic knapsack
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Kellerer, Hans and Strusevich, Vitaly A. (2010) Minimizing total weighted earliness-tardiness on a single machine around a small common due date: an FPTAS using quadratic knapsack. International Journal of Foundations of Computer Science (IJFCS) , 21 (3). pp. 357-383. ISSN 0129-0541 (print) 1793-6373 (online)
Full text not available from this repository.Abstract
We design a fully polynomial-time approximation scheme (FPTAS) for a single machine scheduling problem to minimize the total weighted earliness and tardiness with respect to a common restrictive due date. Notice that for this problem no constant-ratio approximation algorithm has been known so far. Our approach is based on adopting an FPTAS for a special version of the knapsack problem to minimize a convex quadratic non-separable function. For the continuous relaxation of such a knapsack problem we give an algorithm of a quadratic time complexity. The running time of the resulting FPTAS is strongly polynomial.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | quadratic knapsack, single machine scheduling, earliness-tardiness, FPTAS |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| School / Department / Research Groups: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Statistics & Operational Research Group |
| Related URLs: | |
| Last Modified: | 08 Jan 2013 14:01 |
| URI: | http://gala.gre.ac.uk/id/eprint/5654 |
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