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Convex Quadratic Programming in Scheduling

In: Gems of Combinatorial Optimization and Graph Algorithms

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  • Martin Skutella

    (Technische Universität Berlin, Institut für Mathematik)

Abstract

We consider the optimization problem of scheduling a given set of jobs on unrelated parallel machines with total weighted completion time objective. This is a classical scheduling problem known to be NP-hard since the 1970s. We give a new and simplified version of the currently best-known approximation algorithm, which dates back to 1998. It achieves performance ratio 3 / 2, and is based on an optimal solution to a convex quadratic program.

Suggested Citation

  • Martin Skutella, 2015. "Convex Quadratic Programming in Scheduling," Springer Books, in: Andreas S. Schulz & Martin Skutella & Sebastian Stiller & Dorothea Wagner (ed.), Gems of Combinatorial Optimization and Graph Algorithms, pages 125-132, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-24971-1_12
    DOI: 10.1007/978-3-319-24971-1_12
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