Minimizing total weighted earliness-tardiness on a single machine around a small common due date: an FPTAS using quadratic knapsack
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) (doi:10.1142/S0129054110007301)Full text not available from this repository.
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.
|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
|Last Modified:||08 Jan 2013 14:01|
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