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Uncertain Production Planning Using Fuzzy Simulation

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Book cover Uncertainty Management with Fuzzy and Rough Sets

Abstract

Some industrial problems lack of statistical information, so third party information (experts, surveys, etc) is often used for planning. This chapter presents a method for simulating a production planning scenario where tasks have no probabilistic execution times, using experts opinions. We use fuzzy execution times to simulate the mean flow time of the system under non-probabilistic uncertainty.

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Acknowledgements

The authors would like to thank to Prof. Miguel Melgarejo and Prof. José Jairo Soriano for their invaluable discussion around all topics treated in this chapter, and a special thanks is given to all members of the LAMIC Research Group.

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Correspondence to Juan Carlos Figueroa-García .

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Appendix

Appendix

In this appendix we present the results of MFT\(_i\) and PT\(_i\) and the results of 1000 runs of the simulation model (Figs. 4, 5, 6, 7 and 8).

Fig. 4
figure 4

MFT for \(P_2, P_3, P_4, P_5\)

Fig. 5
figure 5

PT for \(P_2, P_3, P_4, P_5\)

Fig. 6
figure 6

MFT as time series for \(P_2, P_3, P_4, P_5\)

Fig. 7
figure 7

PT as time series for \(P_2, P_3, P_4, P_5\)

Fig. 8
figure 8

WT as time series for \(P_2, P_3, P_4, P_5\)

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Carlos Figueroa-García, J., López-Santana, ER., Hernández-Pérez, GJ. (2019). Uncertain Production Planning Using Fuzzy Simulation. In: Bello, R., Falcon, R., Verdegay, J. (eds) Uncertainty Management with Fuzzy and Rough Sets. Studies in Fuzziness and Soft Computing, vol 377. Springer, Cham. https://doi.org/10.1007/978-3-030-10463-4_4

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