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Computing latest starting times of activities in interval-valued networks with minimal time lags

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  • Yakhchali, Siamak Haji
  • Ghodsypour, Seyed Hassan

Abstract

This paper deals with problems of determining possible values of earliest and latest starting times of an activity in networks with minimal time lags and imprecise durations that are represented by means of interval or fuzzy numbers. Although minimal time lags are practical in different projects, former researchers have not considered these problems. After proposing propositions which reduce the search space, a novel polynomial algorithm is presented to compute intervals of possible values of latest starting times in interval-valued networks with minimal time lags. Then, the results are extended to networks with fuzzy durations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:200:y:2010:i:3:p:874-880
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    References listed on IDEAS

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    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. Lootsma, F. A., 1989. "Stochastic and fuzzy," European Journal of Operational Research, Elsevier, vol. 43(2), pages 174-183, November.
    3. Chanas, Stefan & Zielinski, Pawel, 2002. "The computational complexity of the criticality problems in a network with interval activity times," European Journal of Operational Research, Elsevier, vol. 136(3), pages 541-550, February.
    4. Dubois, Didier & Fargier, Helene & Fortemps, Philippe, 2003. "Fuzzy scheduling: Modelling flexible constraints vs. coping with incomplete knowledge," European Journal of Operational Research, Elsevier, vol. 147(2), pages 231-252, June.
    5. Dubois, Didier & Fargier, Helene & Galvagnon, Vincent, 2003. "On latest starting times and floats in activity networks with ill-known durations," European Journal of Operational Research, Elsevier, vol. 147(2), pages 266-280, June.
    6. Bajis Dodin, 1985. "Bounding the Project Completion Time Distribution in PERT Networks," Operations Research, INFORMS, vol. 33(4), pages 862-881, August.
    7. Ahuja, R. & Magnanti, Th., 1989. "Some Recent Advances In Network Flows," LIDAM Discussion Papers CORE 1989036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Ragsdale, C, 1989. "The current state of network simulation in project management theory and practice," Omega, Elsevier, vol. 17(1), pages 21-25.
    9. 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.
    10. 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.
    11. Vicente Valls & Pilar Lino, 2001. "Criticality Analysis in Activity-on-Node Networks with Minimal Time Lags," Annals of Operations Research, Springer, vol. 102(1), pages 17-37, February.
    12. James E. Kelley, 1961. "Critical-Path Planning and Scheduling: Mathematical Basis," Operations Research, INFORMS, vol. 9(3), pages 296-320, June.
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