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Packing chained items in aligned bins with applications to container transshipment and project scheduling

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  • Dirk Briskorn
  • Malte Fliedner

Abstract

Bin packing problems are at the core of many well-known combinatorial optimization problems and several practical applications alike. In this work we introduce a novel variant of an abstract bin packing problem which is subject to a chaining constraint among items. The problem stems from an application of container handling in rail freight terminals, but is also of relevance in other fields, such as project scheduling. The paper provides a structural analysis which establishes computational complexity of several problem versions and develops (pseudo-)polynomial algorithms for specific subproblems. We further propose and evaluate simple and fast heuristics for optimization versions of the problem. Copyright Springer-Verlag 2012

Suggested Citation

  • Dirk Briskorn & Malte Fliedner, 2012. "Packing chained items in aligned bins with applications to container transshipment and project scheduling," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(3), pages 305-326, June.
    • Handle: RePEc:spr:mathme:v:75:y:2012:i:3:p:305-326
    DOI: 10.1007/s00186-012-0386-5
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    References listed on IDEAS

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    1. Böttcher, Jan & Drexl, A. & Kolisch, R. & Salewski, F., 1999. "Project scheduling under partially renewable resource constraints," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 345, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Jan Böttcher & Andreas Drexl & Rainer Kolisch & Frank Salewski, 1999. "Project Scheduling Under Partially Renewable Resource Constraints," Management Science, INFORMS, vol. 45(4), pages 543-559, April.
    3. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    4. Lodi, Andrea & Martello, Silvano & Monaci, Michele, 2002. "Two-dimensional packing problems: A survey," European Journal of Operational Research, Elsevier, vol. 141(2), pages 241-252, September.
    5. Boysen, Nils & Fliedner, Malte, 2010. "Determining crane areas in intermodal transshipment yards: The yard partition problem," European Journal of Operational Research, Elsevier, vol. 204(2), pages 336-342, July.
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    Cited by:

    1. Kai Watermeyer & Jürgen Zimmermann, 2022. "A partition-based branch-and-bound algorithm for the project duration problem with partially renewable resources and general temporal constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 575-602, June.
    2. Kai Watermeyer & Jürgen Zimmermann, 2020. "A branch-and-bound procedure for the resource-constrained project scheduling problem with partially renewable resources and general temporal constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 427-460, June.
    3. Dirk Briskorn & Florian Jaehn & Andreas Wiehl, 2019. "A generator for test instances of scheduling problems concerning cranes in transshipment terminals," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 45-69, March.

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