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A mixed-integer linear programming model for solving fuzzy stochastic resource constrained project scheduling problem

Author

Listed:
  • Yagub Alipouri

    (Amirkabir University of Technology (Tehran Polytechnic))

  • Mohammad Hassan Sebt

    (Amirkabir University of Technology (Tehran Polytechnic))

  • Abdollah Ardeshir

    (Amirkabir University of Technology (Tehran Polytechnic))

  • Mohammad Hossein Fazel Zarandi

    (Amirkabir University of Technology (Tehran Polytechnic))

Abstract

This paper addresses resource-constrained project scheduling problem with mixed uncertainty of randomness and fuzziness (FS-RCPSP). The activity durations are considered to be fuzzy random variables. A resource flow network based mathematical model with fuzzy random variables is presented. Then, this model is transformed into a mixed-integer linear programming model with crisp variables. The CPLEX 12.6.0.1 solver in AIMMS (2014) is employed for applying the proposed model to solve 960 benchmark instances generated from the well-known sets J30 and J60 in PSPLIB. The computational results are encouraging and indicate the ability of the proposed model to handle the FS-RCPSP.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:1:d:10.1007_s12351-017-0321-x
    DOI: 10.1007/s12351-017-0321-x
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    References listed on IDEAS

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    1. 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.
    2. Ke, Hua & Liu, Baoding, 2007. "Project scheduling problem with mixed uncertainty of randomness and fuzziness," European Journal of Operational Research, Elsevier, vol. 183(1), pages 135-147, November.
    3. M H Sebt & Y Alipouri & Y Alipouri, 2013. "Solving resource-constrained project scheduling problem with evolutionary programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(9), pages 1327-1335, September.
    4. 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.
    5. Damay, Jean & Quilliot, Alain & Sanlaville, Eric, 2007. "Linear programming based algorithms for preemptive and non-preemptive RCPSP," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1012-1022, November.
    6. Ebadian, Mahmood & Sowlati, Taraneh & Sokhansanj, Shahab & Townley-Smith, Lawrence & Stumborg, Mark, 2013. "Modeling and analysing storage systems in agricultural biomass supply chain for cellulosic ethanol production," Applied Energy, Elsevier, vol. 102(C), pages 840-849.
    7. Artigues, Christian & Michelon, Philippe & Reusser, Stephane, 2003. "Insertion techniques for static and dynamic resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 149(2), pages 249-267, September.
    8. Egbert Veen & Erwin Hans & Bart Veltman & Leo Berrevoets & Hubert Berden, 2015. "A case study of cost-efficient staffing under annualized hours," Health Care Management Science, Springer, vol. 18(3), pages 279-288, September.
    9. Luhandjula, M.K., 2006. "Fuzzy stochastic linear programming: Survey and future research directions," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1353-1367, November.
    10. Pilar Tormos & Antonio Lova, 2001. "A Competitive Heuristic Solution Technique for Resource-Constrained Project Scheduling," Annals of Operations Research, Springer, vol. 102(1), pages 65-81, February.
    11. 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.
    12. Kolisch, Rainer & Hartmann, Sonke, 2006. "Experimental investigation of heuristics for resource-constrained project scheduling: An update," European Journal of Operational Research, Elsevier, vol. 174(1), pages 23-37, October.
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    1. Pejman Peykani & Jafar Gheidar-Kheljani & Sheida Shahabadi & Seyyed Hassan Ghodsypour & Mojtaba Nouri, 2023. "A two-phase resource-constrained project scheduling approach for design and development of complex product systems," Operational Research, Springer, vol. 23(1), pages 1-25, March.

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