Skip to main content

Construction of the Job Duration Distribution in Network Models for a Set of Fuzzy Expert Estimates

  • Conference paper
  • First Online:
Lecture Notes in Computational Intelligence and Decision Making (ISDMCI 2019)

Abstract

This article presents the mechanisms for processing fuzzy expert estimates in network models for project management. The distribution of the probability function of the execution time is proposed. This function allows us to build a \( \beta \)-distribution of a random variable over the entire domain of its definition for a combination of approximate points and interval expert estimates. This article describes also the approximation of linguistic estimates by using fuzzy triangular and trapezoidal numbers. It is based on the construction of the membership function of a fuzzy triangular number, accounting for its scale. The proposed approach makes it possible to obtain more accurate prediction estimates for making informed decisions during informational uncertainty.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Oleynikov S, Kirilov A (2011) Numerical estimation of beta distribution parameters. Bull Voronezh State Tech Univ 7(7):209–212

    Google Scholar 

  2. Davis R (2008) Teaching note teaching project simulation in excel using PERT-beta distributions. INFORMS Trans Educ 8(3):139–148

    Article  Google Scholar 

  3. Dubois D, Prades A (1990) Theory of opportunities. Applications to the representation of knowledge in computer science. Network (calculation by the PERT method and the sum of fuzzy trapezoidal numbers with fuzzy durations of works). Radio and communication, p 288

    Google Scholar 

  4. Shushura A, Yakimova Yu (2012) The fuzzy critical path method for project management based on fuzzy interval estimates. Artrificial Intalagence 3:332–337

    Google Scholar 

  5. Yang M, Chou Y, Lo M, Tseng W (2014) Applying fuzzy time distribution in the PERT model. In: International multi-conference 2014 of engineers and computer scientists, Hong Kong

    Google Scholar 

  6. Akimov V, Balashov V, Zalozhnev A (2003) The method of fuzzy critical path. In: Management of large systems, vol 3, pp 5–10

    Google Scholar 

  7. Gładysz B (2017) Fuzzy-probabilistic PERT. Ann Oper Res 258(2):437–452

    Article  MathSciNet  Google Scholar 

  8. Samman T, Ramadan M, Brahemi R (2014) Fuzzy PERT for project management. Int J Adv Eng Technol 7(4):1150–1160

    Google Scholar 

  9. Habibi F, Birgani O, Koppelaar H, Radenović S (2018) Using J Project Manage 3(4):183–196

    Article  Google Scholar 

  10. Sushanta Kumer Roy S, Miah M, Uddin M (2016) Alternative approach of project scheduling using fuzzy logic and probability distribution. J Comput Math Sci 7(3):130–143

    Google Scholar 

  11. Barishpolets V (2011) Network modeling of stochastic processes for performing a complex of interrelated operations. RENSIT 3(2):49–73

    Google Scholar 

  12. Gelrud Yu (2010) Generalized stochastic network models for managing complex projects. Vestnik, NSU 36–51

    Google Scholar 

  13. Golenko-Ginzburg D (2010) Stochastic network models of planning and development management. In: Scientific book, Voronezh, p 284

    Google Scholar 

  14. Samokhvalov Yu (2018) Development of the prediction graph method under incomplete and inaccurate expert estimates. Cybern Syst Anal 54(1):75–82

    Article  MathSciNet  Google Scholar 

  15. Presnyakov V. Internet university of information technologies, project management basics lecture 5: risk management. In: E-book - basics of project management. LNCS, p 132. http://www.intuit.ru/studies/courses/2194/272/info

  16. Pegat A (2009) Fuzzy modeling and control. Laboratory of Knowledge, p 798

    Google Scholar 

  17. Ledeneva T, Chermenev D (2015) Fuzzy model of the project with the duration of work in the form of generalized Gaussian numbers. VSU, Series: system analysis and information technology, vol 2, pp 72–81

    Google Scholar 

  18. Borisov A, Krumberg O, Fedorov I (1990) Decision making based on fuzzy models: examples of use. Knowledge, Riga, 184 p

    Google Scholar 

  19. Glushkov V (1969) About forecasting based on expert assessments. In: Cybernetics, vol 2, pp 8–17

    Google Scholar 

  20. Samokhvalov Yu (2002) Matching of expert estimates in preference relation matrices. Upravlyayushchie Sistemy i Mashiny 182(6):49–54

    Google Scholar 

  21. Samokhvalov Yu (2004) Distinctive features of using the method of analysis of hierarchies in estimating problems on the basis of metric criteria. Kibernetika i Sistemnyj Analiz 40(5):15–19

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuri Samokhvalov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Samokhvalov, Y. (2020). Construction of the Job Duration Distribution in Network Models for a Set of Fuzzy Expert Estimates. In: Lytvynenko, V., Babichev, S., Wójcik, W., Vynokurova, O., Vyshemyrskaya, S., Radetskaya, S. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2019. Advances in Intelligent Systems and Computing, vol 1020. Springer, Cham. https://doi.org/10.1007/978-3-030-26474-1_8

Download citation

Publish with us

Policies and ethics