IDEAS home Printed from https://ideas.repec.org/a/gam/jrisks/v9y2021i1p25-d479226.html
   My bibliography  Save this article

The Assignment Problem in Human Resource Project Management under Uncertainty

Author

Listed:
  • Helena Gaspars-Wieloch

    (Department of Operations Research and Mathematical Economics, Poznań University of Economics and Business, 61-875 Poznań, Poland)

Abstract

The assignment problem (AP) is a discrete and combinatorial problem where agents are assigned to perform tasks for efficiency maximization or cost (time) minimization. AP is a part of human resource project management (HRPM). The AP optimization model, with deterministic parameters describing agent–task performance, can be easily solved, but it is characteristic of standard, well-known projects realized in a quiet environment. When considering new (innovation or innovative) projects or projects performed in very turbulent times, the parameter estimation becomes more complex (in extreme cases, even the use of the probability calculus is not recommended). Therefore, we suggest an algorithm combining binary programming with scenario planning and applying the optimism coefficient, which describes the manager’s nature (attitude towards risk). The procedure is designed for one-shot decisions (i.e., for situations where the selected alternative is performed only once) and pure strategies (the execution of a weighted combination of several decision variants is not possible).

Suggested Citation

  • Helena Gaspars-Wieloch, 2021. "The Assignment Problem in Human Resource Project Management under Uncertainty," Risks, MDPI, vol. 9(1), pages 1-17, January.
    • Handle: RePEc:gam:jrisks:v:9:y:2021:i:1:p:25-:d:479226
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-9091/9/1/25/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-9091/9/1/25/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cyrus Derman & Gerald J. Lieberman & Sheldon M. Ross, 1972. "A Sequential Stochastic Assignment Problem," Management Science, INFORMS, vol. 18(7), pages 349-355, March.
    2. Durbach, Ian N. & Stewart, Theodor J., 2012. "Modeling uncertainty in multi-criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 223(1), pages 1-14.
    3. Helena Gaspars-Wieloch, 2017. "Newsvendor problem under complete uncertainty: a case of innovative products," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(3), pages 561-585, September.
    4. Postek, Krzysztof & den Hertog, Dick & Kind, Jarl & Pustjens, Chris, 2019. "Adjustable robust strategies for flood protection," Omega, Elsevier, vol. 82(C), pages 142-154.
    5. Ekta Jain & Kalpana Dahiya & Vanita Verma, 2020. "A priority based unbalanced time minimization assignment problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 13-45, March.
    6. H. W. Kuhn, 1956. "Variants of the hungarian method for assignment problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(4), pages 253-258, December.
    7. Sujeet Kumar Singh & Deepika Rani, 2019. "A branching algorithm to solve binary problem in uncertain environment: an application in machine allocation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 1007-1023, September.
    8. Danny Samson, 2020. "Operations/supply chain management in a new world context," Operations Management Research, Springer, vol. 13(1), pages 1-3, June.
    9. Helena Gaspars-Wieloch, 2021. "Scenario planning combined with probabilities as a risk management tool - analysis of pros and cons," International Journal of Economics and Business Research, Inderscience Enterprises Ltd, vol. 21(1), pages 22-40.
    10. Durbach, Ian N., 2014. "Outranking under uncertainty using scenarios," European Journal of Operational Research, Elsevier, vol. 232(1), pages 98-108.
    11. Midler, Christophe & Killen, Catherine & Kock, Alexander, 2016. "Project and Innovation Management: Bridging Contemporary Trends in Theory and Practice," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 85102, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Serkan Aras & İpek Deveci Kocakoç & Cigdem Polat, 2017. "Comparative study on retail sales forecasting between single and combination methods," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 18(5), pages 803-832, September.
    13. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    14. Michael T. Pich & Christoph H. Loch & Arnoud De Meyer, 2002. "On Uncertainty, Ambiguity, and Complexity in Project Management," Management Science, INFORMS, vol. 48(8), pages 1008-1023, August.
    15. Krokhmal, Pavlo A. & Pardalos, Panos M., 2009. "Random assignment problems," European Journal of Operational Research, Elsevier, vol. 194(1), pages 1-17, April.
    16. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    17. Silvano Martello, 2010. "Jenő Egerváry: from the origins of the Hungarian algorithm to satellite communication," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(1), pages 47-58, March.
    18. Peeyush Vats & Gunjan Soni & Ajay Pal Singh Rathore & Surya Prakash Yadav, 2019. "A demand aggregation approach for inventory control in two echelon supply chain under uncertainty," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 840-868, September.
    19. Paolo Barbieri & Albachiara Boffelli & Stefano Elia & Luciano Fratocchi & Matteo Kalchschmidt & Danny Samson, 2020. "What can we learn about reshoring after Covid-19?," Operations Management Research, Springer, vol. 13(3), pages 131-136, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Richard J. Arend, 2020. "Strategic decision-making under ambiguity: a new problem space and a proposed optimization approach," Business Research, Springer;German Academic Association for Business Research, vol. 13(3), pages 1231-1251, November.
    2. Xiaojuan Ning & Yule Liu & Yishu Ma & Zhiwei Lu & Haiyan Jin & Zhenghao Shi & Yinghui Wang, 2024. "TSPconv-Net: Transformer and Sparse Convolution for 3D Instance Segmentation in Point Clouds," Mathematics, MDPI, vol. 12(18), pages 1-15, September.
    3. Ekta Jain & Kalpana Dahiya & Vanita Verma, 2020. "A priority based unbalanced time minimization assignment problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 13-45, March.
    4. Prpić, John, 2017. "Project Risk Management Incorporating Knight, Ellsberg & Kahneman," SocArXiv yqhjx, Center for Open Science.
    5. Helena Gaspars-Wieloch, 2023. "Scenario planning as a new application area for TOPSIS," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 23-34.
    6. Debashree Das & Avik Datta & Patanjal Kumar & Yigit Kazancoglu & Mangey Ram, 2022. "Building supply chain resilience in the era of COVID-19: An AHP-DEMATEL approach," Operations Management Research, Springer, vol. 15(1), pages 249-267, June.
    7. Hakan J. Holm & Sonja Opper & Victor Nee, 2013. "Entrepreneurs Under Uncertainty: An Economic Experiment in China," Management Science, INFORMS, vol. 59(7), pages 1671-1687, July.
    8. Ivan Belik & Kurt Jornsten, 2018. "Critical objective function values in linear sum assignment problems," Journal of Combinatorial Optimization, Springer, vol. 35(3), pages 842-852, April.
    9. Gaspars-Wieloch Helena, 2021. "On some analogies between one-criterion decision making under uncertainty and multi-criteria decision making under certainty," Economics and Business Review, Sciendo, vol. 7(2), pages 17-36, June.
    10. Amnon Rosenmann, 2022. "Computing the sequence of k-cardinality assignments," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 1265-1283, September.
    11. Ian Durbach, 2019. "Scenario planning in the analytic hierarchy process," Futures & Foresight Science, John Wiley & Sons, vol. 1(2), June.
    12. Sana Bouajaja & Najoua Dridi, 2017. "A survey on human resource allocation problem and its applications," Operational Research, Springer, vol. 17(2), pages 339-369, July.
    13. Ben Van Vliet, 2019. "A Behavioural Approach To The Lean Startup/Minimum Viable Product Process: The Case Of Algorithmic Financial Systems," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 1-30, May.
    14. Scholten, Lisa & Schuwirth, Nele & Reichert, Peter & Lienert, Judit, 2015. "Tackling uncertainty in multi-criteria decision analysis – An application to water supply infrastructure planning," European Journal of Operational Research, Elsevier, vol. 242(1), pages 243-260.
    15. Thanh Tiep Le & Abhishek Behl, 2022. "Role of corporate governance in quick response to Covid-19 to improve SMEs’ performance: evidence from an emerging market," Operations Management Research, Springer, vol. 15(1), pages 528-550, June.
    16. Rhys Bidder & Ian Dew-Becker, 2016. "Long-Run Risk Is the Worst-Case Scenario," American Economic Review, American Economic Association, vol. 106(9), pages 2494-2527, September.
    17. Anne Lavigne, 2006. "Gouvernance et investissement des fonds de pension privés aux Etats-Unis," Working Papers halshs-00081401, HAL.
    18. Agathe Gilain & Pascal Le Masson & Benoit Weil, 2018. "Managing Learning Curves In The Unknown: From ‘Learning By Doing’ To ‘Learning By Designing’," Post-Print hal-01900961, HAL.
    19. Christina Leuker & Thorsten Pachur & Ralph Hertwig & Timothy J. Pleskac, 2019. "Do people exploit risk–reward structures to simplify information processing in risky choice?," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 5(1), pages 76-94, August.
    20. Anne Corcos & François Pannequin & Sacha Bourgeois-Gironde, 2012. "Aversions to Trust," Recherches économiques de Louvain, De Boeck Université, vol. 78(3), pages 115-134.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jrisks:v:9:y:2021:i:1:p:25-:d:479226. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.