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International Conference on Combinatorial Optimization and Applications

COCOA 2016: Combinatorial Optimization and Applications pp 772–781Cite as

Tackling Common Due Window Problem with a Two-Layered Approach

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 10043)

Abstract

This work presents a polynomial algorithm to optimize any given job sequence for the Common Due-Window (CDW) Problem. The CDW problem comprises of scheduling and sequencing a set of jobs against a due-window to minimize the total weighted earliness/tardiness penalty. This due-window is defined by the left and right common due-dates. Jobs that finish before (after) the left (right) due-date are termed as early (tardy) jobs. We present an exact polynomial algorithm for optimally scheduling a given fixed job sequence for a single machine with the runtime complexity of O(n), where n is the number of jobs. The linear algorithm and a heuristic based on the V-shaped property are then incorporated with a modified Simulated Annealing (SA) algorithm to obtain the optimal/near-optimal solutions. We carry out computational experiments to demonstrate the utility of our approach over the benchmark instances and previous work on this problem.

Keywords

  • Exact Polynomial Algorithm
  • Runtime Complexity
  • Benchmark Instances
  • Optimal Schedule
  • Metropolis Acceptance Probability

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-319-48749-6_59
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References

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Authors and Affiliations

  1. Department of Computer Science, University of Applied Sciences Zittau/Görlitz, Görlitz, Germany

    Abhishek Awasthi & Jörg Lässig

  2. School of Computer Science and Technology, University of Science and Technology of China, Hefei, Anhui, China

    Thomas Weise

  3. Department of Computing Science, Carl von Ossietzky University of Oldenburg, Oldenburg, Germany

    Oliver Kramer

Authors
  1. Abhishek Awasthi
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  2. Jörg Lässig
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  3. Thomas Weise
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  4. Oliver Kramer
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Corresponding author

Correspondence to Abhishek Awasthi .

Editor information

Editors and Affiliations

  1. University of Hong Kong, Hong Kong, China

    T-H. Hubert Chan

  2. City University of Hong Kong, Hong Kong, China

    Minming Li

  3. City University of Hong Kong, Hong Kong, China

    Lusheng Wang

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Awasthi, A., Lässig, J., Weise, T., Kramer, O. (2016). Tackling Common Due Window Problem with a Two-Layered Approach. In: Chan, TH., Li, M., Wang, L. (eds) Combinatorial Optimization and Applications. COCOA 2016. Lecture Notes in Computer Science(), vol 10043. Springer, Cham. https://doi.org/10.1007/978-3-319-48749-6_59

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  • DOI: https://doi.org/10.1007/978-3-319-48749-6_59

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48748-9

  • Online ISBN: 978-3-319-48749-6

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