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A risk-averse distributionally robust project scheduling model to address payment delays

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  • Bruni, Maria Elena
  • Hazır, Öncü

Abstract

Delays in payments have become a common risk factor for industrial projects, especially in recent years, since the financial position of firms has been threatened by pandemics, wars, inflation, and major supply chain disruptions. These delays create a time lag between expenses and payments, potentially leading to cash shortages that can have significant negative effects on the project success. To address cash shortage issues, project contractors often explore alternative financing options. The amount of money the contractor needs to borrow and when the loan is taken out considerably affects the overall project cost. In this paper, we present a distributionally robust model for effective cash flow management that minimizes the financing cost by accurately estimating the amount and timing of the expenses and revenues throughout the project life cycle. For the proposed model, we develop a heuristic algorithm that solves the problem efficiently. The performance of the heuristic is compared to the best-known solutions generated within a time limit by an off-the-shelf exact solver. Our results show that our algorithm is very competitive and can generate better solutions in substantially less time.

Suggested Citation

  • Bruni, Maria Elena & Hazır, Öncü, 2024. "A risk-averse distributionally robust project scheduling model to address payment delays," European Journal of Operational Research, Elsevier, vol. 318(2), pages 398-407.
  • Handle: RePEc:eee:ejores:v:318:y:2024:i:2:p:398-407
    DOI: 10.1016/j.ejor.2024.05.037
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    References listed on IDEAS

    as
    1. Hazır, Öncü & Ulusoy, Gündüz, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," International Journal of Production Economics, Elsevier, vol. 223(C).
    2. Gündüz Ulusoy & Öncü Hazır, 2021. "Introduction to Project Modeling and Planning," Springer Texts in Business and Economics, in: An Introduction to Project Modeling and Planning, edition 1, chapter 0, pages 1-21, Springer.
    3. A. H. Russell, 1970. "Cash Flows in Networks," Management Science, INFORMS, vol. 16(5), pages 357-373, January.
    4. Herroelen, Willy S. & Gallens, Els, 1993. "Computational experience with an optimal procedure for the scheduling of activities to maximize the net present value of projects," European Journal of Operational Research, Elsevier, vol. 65(2), pages 274-277, March.
    5. Creemers, Stefan, 2018. "Maximizing the expected net present value of a project with phase-type distributed activity durations: An efficient globally optimal solution procedure," European Journal of Operational Research, Elsevier, vol. 267(1), pages 16-22.
    6. Leyman, Pieter & Vanhoucke, Mario, 2017. "Capital- and resource-constrained project scheduling with net present value optimization," European Journal of Operational Research, Elsevier, vol. 256(3), pages 757-776.
    7. Wiesemann, Wolfram & Kuhn, Daniel & Rustem, Berç, 2010. "Maximizing the net present value of a project under uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 356-367, April.
    8. Balouka, Noemie & Cohen, Izack, 2021. "A robust optimization approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 291(2), pages 457-470.
    9. Stefan Creemers, 2018. "Maximizing the expected net present value of a project with phase-type distributed activity durations: An efficient globally optimal solution procedure," Post-Print hal-02572114, HAL.
    10. Hongtao Xie & Junwei Zheng & Yunhua Zhang & Hongyang Li, 2019. "Effects of Payment Delays at Two Links in Payment Chains on the Progress of Construction Projects: System Dynamic Modeling and Simulation," Sustainability, MDPI, vol. 11(15), pages 1-25, July.
    11. Öncü Hazir & Gündüz Ulusoy, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," Post-Print hal-02898162, HAL.
    12. HazIr, Öncü & Erel, Erdal & Günalay, Yavuz, 2011. "Robust optimization models for the discrete time/cost trade-off problem," International Journal of Production Economics, Elsevier, vol. 130(1), pages 87-95, March.
    13. Wolfram Wiesemann & Daniel Kuhn, 2015. "The Stochastic Time-Constrained Net Present Value Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 753-780, Springer.
    14. Creemers, Stefan & De Reyck, Bert & Leus, Roel, 2015. "Project planning with alternative technologies in uncertain environments," European Journal of Operational Research, Elsevier, vol. 242(2), pages 465-476.
    15. HazIr, Öncü & Haouari, Mohamed & Erel, Erdal, 2010. "Robust scheduling and robustness measures for the discrete time/cost trade-off problem," European Journal of Operational Research, Elsevier, vol. 207(2), pages 633-643, December.
    16. Yanıkoğlu, İhsan & Gorissen, Bram L. & den Hertog, Dick, 2019. "A survey of adjustable robust optimization," European Journal of Operational Research, Elsevier, vol. 277(3), pages 799-813.
    17. Sobel, Matthew J. & Szmerekovsky, Joseph G. & Tilson, Vera, 2009. "Scheduling projects with stochastic activity duration to maximize expected net present value," European Journal of Operational Research, Elsevier, vol. 198(3), pages 697-705, November.
    18. Herroelen, Willy S. & Van Dommelen, Patrick & Demeulemeester, Erik L., 1997. "Project network models with discounted cash flows a guided tour through recent developments," European Journal of Operational Research, Elsevier, vol. 100(1), pages 97-121, July.
    19. Maurizio Conti & Leandro Elia & Antonella Rita Ferrara & Massimiliano Ferraresi, 2021. "Governments’ Late Payments and Firms’ Survival: Evidence from the European Union," Journal of Law and Economics, University of Chicago Press, vol. 64(3), pages 603-627.
    20. Bruni, M.E. & Di Puglia Pugliese, L. & Beraldi, P. & Guerriero, F., 2017. "An adjustable robust optimization model for the resource-constrained project scheduling problem with uncertain activity durations," Omega, Elsevier, vol. 71(C), pages 66-84.
    21. Arnold H. Buss & Meir J. Rosenblatt, 1997. "Activity Delay in Stochastic Project Networks," Operations Research, INFORMS, vol. 45(1), pages 126-139, February.
    22. Maria Elena Bruni & Patrizia Beraldi & Francesca Guerriero, 2015. "The Stochastic Resource-Constrained Project Scheduling Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 811-835, Springer.
    23. Herroelen, Willy & Leus, Roel, 2005. "Project scheduling under uncertainty: Survey and research potentials," European Journal of Operational Research, Elsevier, vol. 165(2), pages 289-306, September.
    24. He, Yukang & Jia, Tao & Zheng, Weibo, 2023. "Tabu search for dedicated resource-constrained multiproject scheduling to minimise the maximal cash flow gap under uncertainty," European Journal of Operational Research, Elsevier, vol. 310(1), pages 34-52.
    25. Gutjahr, Walter J., 2015. "Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion," European Journal of Operational Research, Elsevier, vol. 246(2), pages 421-434.
    26. Elmaghraby, Salah E. & Herroelen, Willy S., 1990. "The scheduling of activities to maximize the net present value of projects," European Journal of Operational Research, Elsevier, vol. 49(1), pages 35-49, November.
    27. Gündüz Ulusoy & Öncü Hazır, 2021. "An Introduction to Project Modeling and Planning," Springer Texts in Business and Economics, Springer, edition 1, number 978-3-030-61423-2, June.
    28. Lamas, Patricio & Goycoolea, Marcos & Pagnoncelli, Bernardo & Newman, Alexandra, 2024. "A target-time-windows technique for project scheduling under uncertainty," European Journal of Operational Research, Elsevier, vol. 314(2), pages 792-806.
    29. Hartmann, Sönke & Briskorn, Dirk, 2022. "An updated survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 297(1), pages 1-14.
    30. Patrizia Beraldi & Maria Bruni & Antonio Violi, 2012. "Capital rationing problems under uncertainty and risk," Computational Optimization and Applications, Springer, vol. 51(3), pages 1375-1396, April.
    31. Peymankar, Mahboobeh & Davari, Morteza & Ranjbar, Mohammad, 2021. "Maximizing the expected net present value in a project with uncertain cash flows," European Journal of Operational Research, Elsevier, vol. 294(2), pages 442-452.
    32. Mengshi Lu & Zuo‐Jun Max Shen, 2021. "A Review of Robust Operations Management under Model Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1927-1943, June.
    33. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
    34. Wolfram Wiesemann & Daniel Kuhn & Berç Rustem, 2012. "Multi-resource allocation in stochastic project scheduling," Annals of Operations Research, Springer, vol. 193(1), pages 193-220, March.
    35. Yangyang Liang & Nanfang Cui & Tian Wang & Erik Demeulemeester, 2019. "Robust resource-constrained max-NPV project scheduling with stochastic activity duration," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 219-254, March.
    36. Bendotti, Pascale & Chrétienne, Philippe & Fouilhoux, Pierre & Pass-Lanneau, Adèle, 2021. "Dominance-based linear formulation for the Anchor-Robust Project Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 295(1), pages 22-33.
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