Abstract
In systems analysis, uncertainties may exist in model parameters and input data. Those uncertainties can propagate through the analysis and generate uncertainties in systems analysis. Grey systems theory offers a method for incorporating uncertainties into systems analysis. According to grey systems theory and the characteristics of the interval plan network, this paper gives the method of the multiobjective making critical path. Examples are provided at the end to verify the feasibility of this method, which combines subjective factors with objective factors.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bondy, J.A., Murty, U.S.R.: Graph Theory with Applications. The Macmillan Press Ltd., Basingstoke (1976)
Chans, S., Zielinski, P.: The computational complexity of the criticality problems in a network with interval activity times. European Journal of Operational Research 136(4), 541–550 (2002)
Deng, J.L.: The Essential Methods of Grey Systems. HUST Press, Wuhan (1987) (in Chinese)
Deng, J.L.: Foundation of Grey Theory. Huazhong University of Science and Technology Press, Wuhan (2002)
Gou, H., Huang, B., Baetz, W., Patry, G.G.: Grey integer Programming. European Journal of Operational Research 83, 594–620 (1995)
Lin, Y., Chen, M.Y., Liu, S.F.: Theory of grey systems: capturing uncertainties of grey information. Kybernetes: The International Journal of Systems and Cybernetics 33(2), 196–218 (2004)
Lin, Y., Liu, S.F.: Solving problems with incomplete information: a grey systems approach. In: Advances in Imaging and Electron Physics, vol. 141, pp. 77–174. Elsevier, Oxford (2006)
Liu, C.L., Chen, H.Y.: Critical path for an interval project network. Journal of Management Sciences in China 9(1), 27–32 (1991)
Liu, S.F., Dang, Y.G., Fang, Z.G.: Grey Systems Theory and Application. Science Press, Beijing (1991) (in Chinese)
Liu, S.F., Lin, Y.: Grey Information Theory and Practical Applications. Springer, New York (2006)
Okada, S., Gen, M.: Order relation between intervals and its application to shortest path problem. Computers Industrial Engineering 25(2), 147–150 (1994)
Wu, J., Huan, D.S.: An review on ranking methods of interval numbers. Systems Engineering 22(8), 1–4 (2004)
Xiao, X.P., Song, Z.M., Li, F.: Grey technology foundation and Application. Science Press, Beijing (2005) (in Chinese)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Song, Z., Yan, X. (2010). Critical Path for a Grey Interval Project Network. In: Liu, S., Forrest, J.YL. (eds) Advances in Grey Systems Research. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13938-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-13938-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13937-6
Online ISBN: 978-3-642-13938-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)