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Overview and State of the Art

In: Handbook on Project Management and Scheduling Vol.1

Author

Listed:
  • Marek Mika

    (Poznań University of Technology)

  • Grzegorz Waligóra

    (Poznań University of Technology)

  • Jan Wȩglarz

    (Poznań University of Technology)

Abstract

In this chapter we present a state-of-the-art in the area of multi-mode project scheduling problems. These problems are characterized by the fact that each activity of a project can be executed in one of several modes, representing a relation between the resource requirements of the activity and its duration. In the overview we present the models and solution approaches that have been proposed in the literature across the class of multi-mode project scheduling problems up to now. Firstly we deal with the basic multi-mode resource-constrained project scheduling problems with the objective to minimize the project duration. We present the mixed-integer linear programming formulations of the problem, describe the exact approaches, the existing methods for lower bounds calculation, as well as heuristic approaches to solve the problem. Secondly, we also discuss special cases and extensions of the basic problem. Finally, we analyze multi-mode problems with other objectives, distinguishing between financial and resource-based objectives.

Suggested Citation

  • Marek Mika & Grzegorz Waligóra & Jan Wȩglarz, 2015. "Overview and State of the Art," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 445-490, Springer.
    • Handle: RePEc:spr:ihichp:978-3-319-05443-8_21
    DOI: 10.1007/978-3-319-05443-8_21
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    Citations

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    Cited by:

    1. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2024. "Integer optimization models and algorithms for the multi-period non-shareable resource allocation problem," European Journal of Operational Research, Elsevier, vol. 317(1), pages 43-59.
    2. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2022. "Integer Optimization Model and Algorithm for the Stem Cell Culturing Problem," Omega, Elsevier, vol. 108(C).
    3. Bersch, Christopher V. & Akkerman, Renzo & Kolisch, Rainer, 2021. "Strategic planning of new product introductions: Integrated planning of products and modules in the automotive industry," Omega, Elsevier, vol. 105(C).

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