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A stochastic model and algorithms for determining efficient time–cost tradeoffs for a project activity

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  • Pedro Godinho

    (University of Coimbra)

  • João Paulo Costa

    (University of Coimbra)

Abstract

We consider a stochastic model for the time–cost tradeoffs of an activity. In this model the activity can be undertaken by using several different resources, and the resource in use may change according to the way the activity is evolving. We present two algorithms for identifying strategies that are in a predefined neighborhood of the efficient set: one of them is based on a tree structure and the other is based on dynamic programming. Both algorithms take advantage of some mathematical properties of the model in order to reduce their running time and memory requirements. We present the results of some computational tests, as well as an application example. We conclude that the dynamic programming algorithm performs quite well, although it is sometimes necessary to adjust the parameters related to the neighborhood of the efficient set to be able to have reasonable running times.

Suggested Citation

  • Pedro Godinho & João Paulo Costa, 2020. "A stochastic model and algorithms for determining efficient time–cost tradeoffs for a project activity," Operational Research, Springer, vol. 20(1), pages 319-348, March.
  • Handle: RePEc:spr:operea:v:20:y:2020:i:1:d:10.1007_s12351-017-0326-5
    DOI: 10.1007/s12351-017-0326-5
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    References listed on IDEAS

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    1. Azaron, Amir & Tavakkoli-Moghaddam, Reza, 2007. "Multi-objective time-cost trade-off in dynamic PERT networks using an interactive approach," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1186-1200, August.
    2. Pindyck, Robert S., 1993. "Investments of uncertain cost," Journal of Financial Economics, Elsevier, vol. 34(1), pages 53-76, August.
    3. Majd, Saman & Pindyck, Robert S., 1987. "Time to build, option value, and investment decisions," Journal of Financial Economics, Elsevier, vol. 18(1), pages 7-27, March.
    4. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 1998. "A heuristic for network project scheduling with random activity durations depending on the resource allocation," International Journal of Production Economics, Elsevier, vol. 55(2), pages 149-162, July.
    5. Jorgensen, Trond & Wallace, Stein W., 2000. "Improving project cost estimation by taking into account managerial flexibility," European Journal of Operational Research, Elsevier, vol. 127(2), pages 239-251, December.
    6. Tereso, Anabela P. & Araujo, M. Madalena T. & Elmaghraby, Salah E., 2004. "Adaptive resource allocation in multimodal activity networks," International Journal of Production Economics, Elsevier, vol. 92(1), pages 1-10, November.
    7. Amir Azaron & Hideki Katagiri & Masatoshi Sakawa, 2007. "Time-cost trade-off via optimal control theory in Markov PERT networks," Annals of Operations Research, Springer, vol. 150(1), pages 47-64, March.
    8. Godinho, Pedro & Branco, Fernando G., 2012. "Adaptive policies for multi-mode project scheduling under uncertainty," European Journal of Operational Research, Elsevier, vol. 216(3), pages 553-562.
    9. Gunther Friedl, 2002. "Sequential Investment And Time To Build," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 54(1), pages 56-79, January.
    10. 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.
    11. KIlIç, Murat & Ulusoy, Gündüz & Serifoglu, Funda Sivrikaya, 2008. "A bi-objective genetic algorithm approach to risk mitigation in project scheduling," International Journal of Production Economics, Elsevier, vol. 112(1), pages 202-216, March.
    12. W. J. Gutjahr & C. Strauss & E. Wagner, 2000. "A Stochastic Branch-and-Bound Approach to Activity Crashing in Project Management," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 125-135, May.
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