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Journal of Applied Mathematics
Volume 2015 (2015), Article ID 809216, 15 pages
http://dx.doi.org/10.1155/2015/809216
Research Article

Developing a Mathematical Model for Scheduling and Determining Success Probability of Research Projects Considering Complex-Fuzzy Networks

Department of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Received 23 January 2015; Revised 25 June 2015; Accepted 25 June 2015

Academic Editor: Ching-Jong Liao

Copyright © 2015 Gholamreza Norouzi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. H. K. Gavareshki, “New fuzzy GERT method for research projects scheduling,” in Proceedings of the IEEE International Engineering Management Conference (IEMC '04), pp. 820–824, Singapore, October 2004. View at Scopus
  2. R. Lachmayer, M. Afsari, and R. Hassani, “C# method for all types of nodes in fuzzy GERT,” International Journal of Artificial Intelligence and Neural Networks, vol. 5, no. 1, pp. 57–62, 2015. View at Google Scholar
  3. D. Ivanov and B. Sokolov, Adaptive Supply Chain Management, Springer, London, UK, 2010.
  4. C. You, “On the convergence of uncertain sequences,” Mathematical and Computer Modelling, vol. 49, no. 3-4, pp. 482–487, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  5. B. Liu, “Some research problems in uncertainty theory,” Journal of Uncertain Systems, vol. 3, no. 1, pp. 3–10, 2009. View at Google Scholar
  6. N. Kuznetsov, “Managing the company in the setting of implementing large-scale development programs,” Asian Social Science, vol. 11, no. 1, pp. 193–2003, 2015. View at Google Scholar
  7. K. Oyama, G. Learmonth, and R. Chao, “Applying complexity science to new product development: modeling considerations, extensions, and implications,” Journal of Engineering and Technology Management, vol. 35, pp. 1–24, 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. P. Patanakul, A. J. Shenhar, and D. Z. Milosevic, “How project strategy is used in project management: cases of new product development and software development projects,” Journal of Engineering and Technology Management, vol. 29, no. 3, pp. 391–414, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. A. A. B. Pritsker and G. E. Whitehouse, “GERT: graphical evaluation and review technique part II, probabilistic and industrial engineering applications,” Journal of Industrial Engineering, vol. 17, no. 6, pp. 293–301, 1966. View at Google Scholar
  10. A. A. B. Pritsker and W. W. Happ, “GERT: graphical evaluation and review technique part I. Fundamentals,” Journal of Industrial Engineering, vol. 17, no. 5, pp. 267–274, 1966. View at Google Scholar
  11. A. A. B. Pritsker, Modeling and Analysis Using Q-GERT Networks, Halsted Press, New York, NY, USA, 1977.
  12. L. A. Zadeh, “Fuzzy sets,” Information and Computation, vol. 8, pp. 338–356, 1965. View at Google Scholar · View at MathSciNet
  13. S. Chanas and J. Kamburowski, “The use of fuzzy variables in PERT,” Journal of Fuzzy Sets and Systems, vol. 5, no. 1, pp. 11–19, 1981. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. I. Gazdik, “Fuzzy-network planning—FNET,” IEEE Transactions on Reliability, vol. 32, no. 3, pp. 304–313, 1983. View at Publisher · View at Google Scholar · View at Scopus
  15. H. Itakura and Y. Nishikawa, “Fuzzy network technique for technological forecasting,” Fuzzy Sets and Systems, vol. 14, no. 2, pp. 99–113, 1984. View at Publisher · View at Google Scholar · View at Scopus
  16. C. S. McCahon, “Using Pert as an approximation of fuzzy project-network analysis,” IEEE Transactions on Engineering Management, vol. 40, no. 2, pp. 146–153, 1993. View at Publisher · View at Google Scholar · View at Scopus
  17. C.-H. Cheng, “Fuzzy consecutive-k-out-of-n:F system reliability,” Microelectronics Reliability, vol. 34, no. 12, pp. 1909–1922, 1994. View at Publisher · View at Google Scholar · View at Scopus
  18. C.-H. Cheng, “Fuzzy repairable reliability based on fuzzy GERT,” Microelectronics Reliability, vol. 36, no. 10, pp. 1557–1563, 1996. View at Publisher · View at Google Scholar · View at Scopus
  19. S. H. Nasution, “Fuzzy critical path method,” IEEE Transactions on Systems, Man and Cybernetics, vol. 24, no. 1, pp. 48–57, 1994. View at Publisher · View at Google Scholar · View at Scopus
  20. S. Chang, Y. Tsujimura, and T. Tazawa, “An efficient approach for large scale project planning based on fuzzy Delphi method,” Fuzzy Sets and Systems, vol. 76, no. 3, pp. 277–288, 1995. View at Publisher · View at Google Scholar · View at Scopus
  21. M. F. Shipley, A. De Korvin, and K. Omer, “A fuzzy logic approach for determining expected values: a project management application,” Journal of the Operational Research Society, vol. 47, no. 4, pp. 562–569, 1996. View at Publisher · View at Google Scholar · View at Scopus
  22. J. R. Wang, “Fuzzy set approach to activity scheduling for product development,” Journal of the Operational Research Society, vol. 50, no. 12, pp. 1217–1228, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  23. J. Wang, “A fuzzy project scheduling approach to minimize schedule risk for product development,” Fuzzy Sets and Systems, vol. 127, no. 2, pp. 99–116, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. J. R. Wang, “A fuzzy robust scheduling approach for product development projects,” European Journal of Operational Research, vol. 152, no. 1, pp. 180–194, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. J. J. Buckley, “Further results for the linear fuzzy controller,” Kybernetes, vol. 18, no. 5, pp. 48–55, 1989. View at Publisher · View at Google Scholar · View at MathSciNet
  26. S. Chanas and P. Zielinski, “Critical path analysis in the network with fuzzy activity times,” Journal of Fuzzy Sets and Systems, vol. 122, no. 2, pp. 195–204, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. C.-T. Chen and S.-F. Huang, “Applying fuzzy method for measuring criticality in project network,” Information Sciences, vol. 177, no. 12, pp. 2448–2458, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  28. S.-P. Chen and Y.-J. Hsueh, “A simple approach to fuzzy critical path analysis in project networks,” Applied Mathematical Modelling, vol. 32, no. 7, pp. 1289–1297, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. J. Fortin, P. Zielinski, D. Dubois, and H. Fargier, “Criticality analysis of activity networks under interval uncertainty,” Journal of Scheduling, vol. 13, no. 6, pp. 609–627, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. H. Ke and B. Liu, “Fuzzy project scheduling problem and its hybrid intelligent algorithm,” Applied Mathematical Modelling, vol. 34, no. 2, pp. 301–308, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  31. W. Huang, S.-K. Oh, and W. Pedrycz, “A fuzzy time-dependent project scheduling problem,” Information Sciences, vol. 246, pp. 100–114, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  32. A. P. Shibanov, “Finding the distribution density of the time taken to fulfill the GERT network on the basis of equivalent simplifying transformations,” Automation and Remote Control, vol. 64, no. 2, pp. 279–287, 2003. View at Publisher · View at Google Scholar · View at Scopus
  33. S. S. Hashemin and S. M. T. Fatemi Ghomi, “A hybrid method to find cumulative distribution function of completion time of GERT networks,” Journal of Industrial Engineering International, vol. 1, pp. 1–9, 2005. View at Google Scholar
  34. K. Kurihara and N. Nishiuchi, “Efficient Monte Carlo simulation method of GERT-type network for project management,” Computers and Industrial Engineering, vol. 42, no. 2–4, pp. 521–531, 2002. View at Publisher · View at Google Scholar · View at Scopus
  35. K. Kurihara, N. Nishiuchi, M. Nagai, and K. Masuda, “Branching probabilities planning of stochastic network for project duration planning,” in Proceedings of the IEEE Conference on Emerging Technologies and Factory Automation (ETFA '06), pp. 1333–1339, Prague, Czech Republic, September 2006. View at Publisher · View at Google Scholar · View at Scopus
  36. R. Lachmayer, M. Afsari, and B. Sauthoff, “Fuzzy GERT method for Scheduling research projects,” in Proceedings of the 9th International Industrial Engineering Conference, pp. 1–7, Tehran, Iran, 2013.
  37. R. Lachmayer and M. Afsari, “Matlab method for exclusive-or nodes in fuzzy GERT networks,” World Academy of Science, Engineering and Technology, Computer and Information Engineering, vol. 2, no. 1, 2015. View at Google Scholar
  38. S. S. Hashemin, “Fuzzy completion time for alternative stochastic networks,” Journal of Industrial Engineering International, vol. 6, no. 11, pp. 17–22, 2010. View at Google Scholar
  39. Q. Shi and T. Blomquist, “A new approach for project scheduling using fuzzy dependency structure matrix,” International Journal of Project Management, vol. 30, no. 4, pp. 503–510, 2012. View at Publisher · View at Google Scholar · View at Scopus
  40. H. C. Martínez León, J. A. Farris, G. Letens, and A. Hernandez, “An analytical management framework for new product development processes featuring uncertain iterations,” Journal of Engineering and Technology Management, vol. 30, no. 1, pp. 45–71, 2013. View at Publisher · View at Google Scholar · View at Scopus
  41. H. C. M. Leon, J. A. Farris, and G. Letens, “Improving product development through front-loading and enhanced iteration management,” in Proceedings of the Industrial Engineering Research Conference, Reno, Nev, USA, May 2011.
  42. M. T. Hajiali, M. R. Mosavi, and K. Shahanaghi, “Estimation of project completion time-based on a mixture of expert in an interactive space,” Modern Applied Science, vol. 8, no. 6, pp. 229–237, 2014. View at Publisher · View at Google Scholar · View at Scopus
  43. K. Shahanaghi and M. T. Hajiali, “Estimation of project time and cost at completion using fuzzy Kalman filter and ARMA model,” Management, Business and Economics, vol. 2, no. 1, 2014. View at Google Scholar
  44. M. Verma and K. K. Shukla, “A new algorithm for solving fuzzy constrained shortest path problem using intuitionistic fuzzy numbers,” International Journal of Artificial Intelligence and Neural Networks, vol. 5, no. 1, pp. 38–42, 2015. View at Google Scholar