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A hybrid simulation-optimization approach for the robust Discrete Time/Cost Trade-off Problem

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  • Said, Samer S.
  • Haouari, Mohamed

Abstract

We investigate a stochastic Discrete Time/Cost Trade-off Problem. This multimode project scheduling problem, requires assigning modes to activities, and scheduling the activities so that the sum of the activities cost and the expected tardiness cost is minimized. Furthermore, the derived solution should be stable. This stability property renders the schedule less sensitive to uncontrollable factors that may disrupt the project execution. To solve this problem, we propose a two-stage solution strategy. In the first stage, we implemented a simulation–optimization strategy that yields a cost-effective schedule. Next, a mixed-integer programming formulation is used to derive a schedule that is both stable and cost-effective. We report the results of computational experiments that attest to the efficacy of the proposed approach.

Suggested Citation

  • Said, Samer S. & Haouari, Mohamed, 2015. "A hybrid simulation-optimization approach for the robust Discrete Time/Cost Trade-off Problem," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 628-636.
  • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:628-636
    DOI: 10.1016/j.amc.2015.02.092
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    References listed on IDEAS

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    1. Demeulemeester, Erik L. & Herroelen, Willy S. & Elmaghraby, Salah E., 1996. "Optimal procedures for the discrete time/cost trade-off problem in project networks," European Journal of Operational Research, Elsevier, vol. 88(1), pages 50-68, January.
    2. Al-Fawzan, M. A. & Haouari, Mohamed, 2005. "A bi-objective model for robust resource-constrained project scheduling," International Journal of Production Economics, Elsevier, vol. 96(2), pages 175-187, May.
    3. Martin Skutella, 1998. "Approximation Algorithms for the Discrete Time-Cost Tradeoff Problem," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 909-929, November.
    4. 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.
    5. 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.
    6. Herroelen, Willy & Leus, Roel, 2004. "The construction of stable project baseline schedules," European Journal of Operational Research, Elsevier, vol. 156(3), pages 550-565, August.
    7. 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.
    8. Van de Vonder, Stijn & Demeulemeester, Erik & Herroelen, Willy, 2008. "Proactive heuristic procedures for robust project scheduling: An experimental analysis," European Journal of Operational Research, Elsevier, vol. 189(3), pages 723-733, September.
    9. Deblaere, Filip & Demeulemeester, Erik & Herroelen, Willy, 2011. "Proactive policies for the stochastic resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 214(2), pages 308-316, October.
    10. De, Prabuddha & James Dunne, E. & Ghosh, Jay B. & Wells, Charles E., 1995. "The discrete time-cost tradeoff problem revisited," European Journal of Operational Research, Elsevier, vol. 81(2), pages 225-238, March.
    11. Van de Vonder, Stijn & Demeulemeester, Erik & Herroelen, Willy & Leus, Roel, 2005. "The use of buffers in project management: The trade-off between stability and makespan," International Journal of Production Economics, Elsevier, vol. 97(2), pages 227-240, August.
    12. Don R. Robinson, 1975. "A Dynamic Programming Solution to Cost-Time Tradeoff for CPM," Management Science, INFORMS, vol. 22(2), pages 158-166, October.
    13. Eleni Hadjiconstantinou & Evelina Klerides, 2010. "A new path-based cutting plane approach for the discrete time-cost tradeoff problem," Computational Management Science, Springer, vol. 7(3), pages 313-336, July.
    14. Tavares, L. Valadares & Antunes Ferreira, J. A. & Silva Coelho, J., 1998. "On the optimal management of project risk," European Journal of Operational Research, Elsevier, vol. 107(2), pages 451-469, June.
    15. 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.
    16. Akkan, Can & Drexl, Andreas & Kimms, Alf, 2005. "Network decomposition-based benchmark results for the discrete time-cost tradeoff problem," European Journal of Operational Research, Elsevier, vol. 165(2), pages 339-358, September.
    17. Kobylanski, Przemyslaw & Kuchta, Dorota, 2007. "A note on the paper by M. A. Al-Fawzan and M. Haouari about a bi-objective problem for robust resource-constrained project scheduling," International Journal of Production Economics, Elsevier, vol. 107(2), pages 496-501, June.
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    4. Kosztyán, Zsolt T. & Szalkai, István, 2018. "Hybrid time-quality-cost trade-off problems," Operations Research Perspectives, Elsevier, vol. 5(C), pages 306-318.

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