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Robustness and Approximation for Universal Sequencing

In: Gems of Combinatorial Optimization and Graph Algorithms

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  • Nicole Megow

    (Technische Universität München, Fakultät für Mathematik)

Abstract

We consider the problem of finding a permutation of jobs that minimizes $$\sum _{j}w_jf(C_j)$$ ∑ j w j f ( C j ) on a single machine for some non-negative, non-decreasing global cost function f. We are interested in universal solutions that perform well for all functions f simultaneously. We construct universal sequences that are within a factor of 4 of the optimal cost for any f. Furthermore, we analyze the tradeoff between the robustness for all cost functions and the approximation of the well understood case of linear cost functions.

Suggested Citation

  • Nicole Megow, 2015. "Robustness and Approximation for Universal Sequencing," Springer Books, in: Andreas S. Schulz & Martin Skutella & Sebastian Stiller & Dorothea Wagner (ed.), Gems of Combinatorial Optimization and Graph Algorithms, pages 133-141, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-24971-1_13
    DOI: 10.1007/978-3-319-24971-1_13
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