Skip to main content
Log in

The FLR–PCFI–RBF approach for accurate and precise WIP level forecasting

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Precise and accurate prediction of future level of work in process (WIP) is an important task for factory control. To this end, a fuzzy linear regression (FLR)–partial consensus fuzzy intersection (PCFI)–radial basis function network (RBF) approach is proposed in this study. In the proposed methodology, a virtual expert committee is formed, instead of calling a number of experts in the field. For each virtual expert, a corresponding FLR equation is constructed to predict the level of WIP. Each FLR equation can be fitted by solving two equivalent nonlinear programming problems, based on the opinions of virtual experts. In order to aggregate these fuzzy WIP level forecasts, a two-step aggregation mechanism is used. First, PCFI is applied to aggregate the fuzzy forecasts into a polygon-shaped fuzzy number, in order to improve precision. Then, an RBF is constructed to defuzzify the polygon-shaped fuzzy number, and generate a representative/crisp value, resulting in improved accuracy. To evaluate the effectiveness of the proposed methodology, an actual case is discussed. According to the experimental results, the proposed methodology improved the precision and accuracy of the WIP level forecasting by 68% and 27%, respectively.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gue F (1980) Is work in process doing you in? Prod Eng 27(2):45–48

    Google Scholar 

  2. Buxton KV, Gatland R (1995) Simulating the effects of work-in-process on customer satisfaction in a manufacturing environment. Winter Simulation Conference Proceedings, pp. 940–944

  3. Little JDC (1961) A proof of the queueing formula L = λW. Oper Res 9:383–387

    Article  MathSciNet  MATH  Google Scholar 

  4. Suzaki K (1985) Wok-in-process management: an illustrated guide to productivity improvement. Prod Invent Manag 26(3):101–110

    Google Scholar 

  5. Voorhees EM (1989) Work-in-process tracking system for experimental manufacturing. Proceedings of Second International Conference of Data Knowledge Systems and Manufacturing Engineering, pp. 190–197

  6. Banta LE, Toh TS (1991) Work in process tracking using machine vision. Soc Mech Eng Dynam Syst Control Div 30:9–11

    Google Scholar 

  7. Cordon C (1995) Quality defaults and work-in-process inventory. Eur J Oper Res 80(2):240–251

    Article  MATH  Google Scholar 

  8. Kuo CJ, Liu CM, Chi CY (2008) Standard WIP determination and WIP balance control with time constraints in semiconductor wafer fabrication. J Qual 15(6):409–423

    Google Scholar 

  9. Yang T, Fu H-P, Yang K-Y (2007) An evolutionary-simulation approach for the optimization of multi-constant work-in-process strategy—a case study. Int J Prod Econ 107(1):104–114

    Article  Google Scholar 

  10. Lin YC, Chen T, Wu HC (2011) Future WIP level forecasting in a wafer fabrication factory with a hybrid fuzzy and neural approach. Int J Innov Comput Inf Control 7(8):4621–4634

    Google Scholar 

  11. Chen T, Lin YC (2008) A fuzzy-neural system incorporating unequally important expert opinions for semiconductor yield forecasting. Int J Uncertain Fuzziness Knowl-Based Syst 16(1):35–58

    Article  Google Scholar 

  12. Chen T (2009) An online collaborative semiconductor yield forecasting system. Expert Syst Appl 36(3):5830–5843

    Article  Google Scholar 

  13. Chen T (2009) A fuzzy-neural knowledge-based system for job completion time prediction and internal due date assignment in a wafer fabrication plant. Int J Syst Sci 40(8):889–902

    Article  Google Scholar 

  14. Chen T, Wang YC (2011) A hybrid fuzzy and neural approach for forecasting the book-to-bill ratio in the semiconductor manufacturing industry. Int J Adv Manuf Technol 54(1–4):377–389

    Article  Google Scholar 

  15. Chen T (2011) Applying a fuzzy and neural approach for forecasting the foreign exchange rate. Int J Fuzzy Syst Appl 1(1):36–48

    Article  Google Scholar 

  16. Azadeh A, Nazari-Shirkouhi S, Hatami-Shirkouhi L, Ansarinejad A (2011) A unique fuzzy multi-criteria decision making: computer simulation approach for productive operators’ assignment in cellular manufacturing systems with uncertainty and vagueness. Int J Adv Manuf Technol 56(1–6):329–343

    Article  Google Scholar 

  17. Chen T (2008) A fuzzy–neural approach for estimating the monthly output of a semiconductor manufacturing factory. Int J Adv Manuf Technol 39(5–6):589–598

    Article  Google Scholar 

  18. Rodríguez-Guerrero L, López-Ortega O, Santos-Sánchez O (2012) Object-oriented optimal controller for a batch dryer system. Int J Adv Manuf Technol 58(1–4):293–307

    Article  Google Scholar 

  19. Chen T (2011) Job cycle time estimation in a wafer fabrication factory with a bi-directional classifying fuzzy-neural approach. Int J Adv Manuf Technol 56(9):1007–1018

    Article  Google Scholar 

  20. Yager RR (2011) On possibilistic and probabilistic information fusion. Int J Fuzzy Syst Appl 1(3):1–14

    Article  Google Scholar 

  21. Chen T, Wang YC (2010) A bi-criteria nonlinear fluctuation smoothing rule incorporating the SOM-FBPN remaining cycle time estimator for scheduling a wafer fab—a simulation study. Int J Adv Manuf Technol 49(5):709–721

    Article  Google Scholar 

  22. Chen T (2007) Incorporating fuzzy c-means and a back-propagation network ensemble to job completion time prediction in a semiconductor fabrication factory. Fuzzy Set Syst 158(19):2153–2168

    Article  Google Scholar 

  23. Piramuthu S (1991) Theory and methodology—financial credit-risk evaluation with neural and neuralfuzzy systems. Eur J Oper Res 112:310–321

    Article  Google Scholar 

  24. Chen T (2008) A SOM-FBPN-ensemble approach with error feedback to adjust classification for wafer-lot completion time prediction. Int J Adv Manuf Technol 37(7–8):782–792

    Article  Google Scholar 

  25. Chen T (2006) A hybrid SOM-BPN approach to lot output time prediction in a wafer fab. Neural Proces Lett 24(3):271–288

    Article  Google Scholar 

  26. Kurban T, Beşdok E (2009) A comparison of RBF neural network training algorithms for inertial sensor based terrain classification. Sensors 9:6312–6329

    Article  Google Scholar 

  27. Chen T, Wang YC, Tsai HR (2009) Lot cycle time prediction in a ramping-up semiconductor manufacturing factory with a SOM-FBPN-ensemble approach with multiple buckets and partial normalization. Int J Adv Manuf Technol 42(11–12):1206–1216

    Article  Google Scholar 

  28. Bárdossy A (1990) Note on fuzzy regression. Fuzzy Set Syst 65:65–75

    Article  Google Scholar 

  29. Chen T, Jeang A, Wang YC (2008) A hybrid neural network and selective allowance approach for internal due date assignment in a wafer fabrication plant. Int J Adv Manuf Technol 36:570–581

    Article  Google Scholar 

  30. Liu X (2007) Parameterized defuzzification with maximum entropy weighting function—another view of the weighting function expectation method. Math Comput Model 45:177–188

    Article  MATH  Google Scholar 

  31. Hannan EJ, Rissanen J (1982) Recursive estimation of mixed autogressive-moving average order. Biometrika 69(1):81–94

    Article  MathSciNet  MATH  Google Scholar 

  32. Dickey DA, Fuller WA (1981) Likelihood ratio statistics for autoregressive time series with a unit. Econometrica 49(4):1057–1072

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Toly Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, T. The FLR–PCFI–RBF approach for accurate and precise WIP level forecasting. Int J Adv Manuf Technol 63, 1217–1226 (2012). https://doi.org/10.1007/s00170-012-3957-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-012-3957-y

Keywords

Navigation