IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v306y2023i2p519-534.html
   My bibliography  Save this article

Project scheduling problem with fuzzy activity durations: A novel operational law based solution framework

Author

Listed:
  • Zhao, Mingxuan
  • Zhou, Jian
  • Wang, Ke
  • Pantelous, Athanasios A.

Abstract

In this paper, we propose a novel operational law for calculating the credibility distributions of monotone functions of independent regular fuzzy numbers to study the project scheduling problem with partially (or fully) fuzzy activity durations. In this regard, we formulate three corresponding types of fuzzy models, namely the α-cost minimization, the credibility maximization and the time-cost trade-off models, and show that they can be converted into crisp ones, and then be efficiently solved. Specifically, for the first model, its optimal solution is represented analytically, and thus determined precisely. The second and third ones can be solved exactly for small and medium, and approximately with high accuracy within reasonable time for large scale projects. Several numerical experiments on the public instance sets from the project scheduling problem library (PSPLIB) illustrate clearly the accuracy and efficiency of our treatment.

Suggested Citation

  • Zhao, Mingxuan & Zhou, Jian & Wang, Ke & Pantelous, Athanasios A., 2023. "Project scheduling problem with fuzzy activity durations: A novel operational law based solution framework," European Journal of Operational Research, Elsevier, vol. 306(2), pages 519-534.
  • Handle: RePEc:eee:ejores:v:306:y:2023:i:2:p:519-534
    DOI: 10.1016/j.ejor.2022.07.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221722006166
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2022.07.047?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chen, Shih-Pin, 2007. "Analysis of critical paths in a project network with fuzzy activity times," European Journal of Operational Research, Elsevier, vol. 183(1), pages 442-459, November.
    2. 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.
    3. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    4. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    5. D. G. Malcolm & J. H. Roseboom & C. E. Clark & W. Fazar, 1959. "Application of a Technique for Research and Development Program Evaluation," Operations Research, INFORMS, vol. 7(5), pages 646-669, October.
    6. Rodrigues, Sávio B. & Yamashita, Denise S., 2010. "An exact algorithm for minimizing resource availability costs in project scheduling," European Journal of Operational Research, Elsevier, vol. 206(3), pages 562-568, November.
    7. Choi, Byung-Cheon & Chung, Jibok, 2014. "Complexity results for the linear time–cost tradeoff problem with multiple milestones and completely ordered jobs," European Journal of Operational Research, Elsevier, vol. 236(1), pages 61-68.
    8. 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.
    9. Bhaskar, Tarun & Pal, Manabendra N. & Pal, Asim K., 2011. "A heuristic method for RCPSP with fuzzy activity times," European Journal of Operational Research, Elsevier, vol. 208(1), pages 57-66, January.
    10. Chen, Shih-Pin & Tsai, Ming-Jiun, 2011. "Time-cost trade-off analysis of project networks in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 212(2), pages 386-397, July.
    11. Hadi Moradi & Shahram Shadrokh, 2019. "A robust scheduling for the multi-mode project scheduling problem with a given deadline under uncertainty of activity duration," International Journal of Production Research, Taylor & Francis Journals, vol. 57(10), pages 3138-3167, May.
    12. Pellerin, Robert & Perrier, Nathalie & Berthaut, François, 2020. "A survey of hybrid metaheuristics for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 280(2), pages 395-416.
    13. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    14. Wang, Juite, 2004. "A fuzzy robust scheduling approach for product development projects," European Journal of Operational Research, Elsevier, vol. 152(1), pages 180-194, January.
    15. James E. Kelley, 1961. "Critical-Path Planning and Scheduling: Mathematical Basis," Operations Research, INFORMS, vol. 9(3), pages 296-320, June.
    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. 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.
    2. 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.
    3. Yakhchali, Siamak Haji & Ghodsypour, Seyed Hassan, 2010. "Computing latest starting times of activities in interval-valued networks with minimal time lags," European Journal of Operational Research, Elsevier, vol. 200(3), pages 874-880, February.
    4. Xiong, Jian & Leus, Roel & Yang, Zhenyu & Abbass, Hussein A., 2016. "Evolutionary multi-objective resource allocation and scheduling in the Chinese navigation satellite system project," European Journal of Operational Research, Elsevier, vol. 251(2), pages 662-675.
    5. Geng, Zhichao & Yuan, Jinjiang, 2023. "Single-machine scheduling of multiple projects with controllable processing times," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1074-1090.
    6. Yagub Alipouri & Mohammad Hassan Sebt & Abdollah Ardeshir & Mohammad Hossein Fazel Zarandi, 2020. "A mixed-integer linear programming model for solving fuzzy stochastic resource constrained project scheduling problem," Operational Research, Springer, vol. 20(1), pages 197-217, March.
    7. Trietsch, Dan & Mazmanyan, Lilit & Gevorgyan, Lilit & Baker, Kenneth R., 2012. "Modeling activity times by the Parkinson distribution with a lognormal core: Theory and validation," European Journal of Operational Research, Elsevier, vol. 216(2), pages 386-396.
    8. Xabier A. Martin & Rosa Herrero & Angel A. Juan & Javier Panadero, 2024. "An Agile Adaptive Biased-Randomized Discrete-Event Heuristic for the Resource-Constrained Project Scheduling Problem," Mathematics, MDPI, vol. 12(12), pages 1-21, June.
    9. Illana Bendavid & Boaz Golany, 2011. "Setting gates for activities in the stochastic project scheduling problem through the cross entropy methodology," Annals of Operations Research, Springer, vol. 189(1), pages 25-42, September.
    10. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    11. Xue Li & Zhengwen He & Nengmin Wang & Mario Vanhoucke, 2022. "Multimode time-cost-robustness trade-off project scheduling problem under uncertainty," Journal of Combinatorial Optimization, Springer, vol. 43(5), pages 1173-1202, July.
    12. Park, Jongyoon & Han, Jinil & Lee, Kyungsik, 2022. "Integer Optimization Model and Algorithm for the Stem Cell Culturing Problem," Omega, Elsevier, vol. 108(C).
    13. Öncü Hazir & Gündüz Ulusoy, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," Post-Print hal-02898162, HAL.
    14. Byung-Cheon Choi & Changmuk Kang, 2019. "A linear time–cost tradeoff problem with multiple milestones under a comb graph," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 341-361, August.
    15. 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).
    16. Hermans, Ben & Leus, Roel & Looy, Bart Van, 2023. "Deciding on scheduling, secrecy, and patenting during the new product development process: The relevance of project planning models," Omega, Elsevier, vol. 116(C).
    17. Illana Bendavid & Boaz Golany, 2009. "Setting gates for activities in the stochastic project scheduling problem through the cross entropy methodology," Annals of Operations Research, Springer, vol. 172(1), pages 259-276, November.
    18. Bregman, Robert L., 2009. "A heuristic procedure for solving the dynamic probabilistic project expediting problem," European Journal of Operational Research, Elsevier, vol. 192(1), pages 125-137, January.
    19. Choi, Byung-Cheon & Park, Myoung-Ju, 2015. "A continuous time–cost tradeoff problem with multiple milestones and completely ordered jobs," European Journal of Operational Research, Elsevier, vol. 244(3), pages 748-752.
    20. Scott, James & Ho, William & Dey, Prasanta K. & Talluri, Srinivas, 2015. "A decision support system for supplier selection and order allocation in stochastic, multi-stakeholder and multi-criteria environments," International Journal of Production Economics, Elsevier, vol. 166(C), pages 226-237.

    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:eee:ejores:v:306:y:2023:i:2:p:519-534. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.