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Modification in Chen and Tsai’s method for solving time–cost trade-off problems of project networks in fuzzy environments

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Abstract

Chen and Tsai [Eur J Oper Res 212:386–397, 2011] proposed a method to find the lower and upper bound of α-cut of the minimum total fuzzy crash cost and optimal fuzzy activity times of the project networks in fuzzy environments and used the values of lower and upper bounds, corresponding to different values of α, to obtain the minimum total fuzzy crash cost and the optimal fuzzy activity times. In this paper, it is pointed out that in the α-cut of optimal fuzzy activity times, obtained by using the existing method, the lower bound is not necessarily less than the upper bound. Also, some modifications in the existing method are suggested so that in the α-cut of optimal fuzzy activity time, the lower bound is always less than or equal to upper bound.

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Acknowledgments

The authors would like to thank the Editor and anonymous referees for various suggestions that have led to an improvement in both the quality and clarity of the paper. I, Dr. Amit Kumar, want to acknowledge the adolescent inner blessings of Mehar. I believe that Mehar is an angel for me and without Mehar’s blessing it was not possible to think the idea proposed in this paper. Mehar is a lovely daughter of Parmpreet Kaur (Research Scholar under my supervision).

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147 004, India

    Parmpreet Kaur & Amit Kumar

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  1. Parmpreet Kaur
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  2. Amit Kumar
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Correspondence to Parmpreet Kaur.

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Kaur, P., Kumar, A. Modification in Chen and Tsai’s method for solving time–cost trade-off problems of project networks in fuzzy environments. Neural Comput & Applic 23, 1045–1050 (2013). https://doi.org/10.1007/s00521-012-1029-8

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  • DOI: https://doi.org/10.1007/s00521-012-1029-8

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