×

Multiple attribute decision-making methods for the dynamic operator allocation problem. (English) Zbl 1144.90422

Summary: This study explores two multiple attribute decision-making (MADM) methods to solve a dynamic operator allocation problem. Both methods use an analytic hierarchy process (AHP) to determine attribute weights a priori. The first method uses a technique for order preference by similarity to ideal solution (TOPSIS). The second method incorporates a fuzzy-based logic that uses linguistic variable representation, fuzzy operation, and fuzzy defuzzification. The TOPSIS uses deterministic performance ratings and attribute weights, whilst the fuzzy-based is a linguistic method. An applied case study drawn from existing literature is used to demonstrate and test findings. The proposed methods systematically evaluate alternative scenarios, with the result indicating promise for solving an operator allocation decision problem.

MSC:

90B50 Management decision making, including multiple objectives
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bellman, R. E.; Zadeh, L. A., Decision-making in a fuzzy environment, Manage. Sci., 17, B141-B164 (1970) · Zbl 0224.90032
[2] Belton, V.; Gear, A. E., On a shortcoming of Saaty’s method of analytic hierarchies, Omega, 11, 227-230 (1983)
[3] Bhaskar, K.; Srinivasan, G., Static and dynamic operator allocation problems in cellular manufacturing systems, Int. J. Prod. Res., 35, 3467-3481 (1997) · Zbl 0942.90543
[4] Cheng, C.-H., Evaluating weapon systems using ranking fuzzy numbers, Fuzzy Sets Syst., 107, 25-35 (1999) · Zbl 0947.90607
[5] Cheng, C.-H.; Lin, Y., Evaluating the best main battle tank using fuzzy decision theory with linguistic criteria evaluation, Eur. J. Operational Res., 142, 174-186 (2002) · Zbl 1081.90584
[6] Expert Choice User’s Guide, Expert Choice, Inc., Pittsburgh, PA, 2002.; Expert Choice User’s Guide, Expert Choice, Inc., Pittsburgh, PA, 2002.
[7] Finan, J. S.; Hurley, W. J., Transitive Calibration of the AHP verbal scale, Eur. J. Operational Res., 112, 367-372 (1999) · Zbl 0939.91036
[8] Hwang, C. L.; Yoon, K. P., Multiple Attribute Decision Making: Methods and Applications (1981), Springer-Verlag: Springer-Verlag New York
[9] Jang, J.-S. R.; Sun, C.-T.; Mizutani, E., Neuro-Fuzzy and Soft Computing (1997), Prentice Hall: Prentice Hall Upper Saddle River, NJ
[10] Kaufmann, A.; Gupta, M. M., Introduction to Fuzzy Arithmetic: Theory and Applications (1985), Van Nostrand Reinhold: Van Nostrand Reinhold New York · Zbl 0588.94023
[11] Kelton, W. D.; Sadowski, R. P.; Sturrock, D. T., Simulation with Arena (2003), McGraw Hill: McGraw Hill New York
[12] Law, A. M.; Kelton, W. D., Simulation Modeling and Analysis (2000), McGraw Hill: McGraw Hill New York
[13] Rees, L. P.; Clayton, E. R.; Taylor, B. W., Solving multiple response models using modified response surface methodology within a lexicographic goal programming framework, IIE Trans., 17, 47-57 (1985)
[14] Ribeiro, R. A., Fuzzy multiple attribute decision making: a review and new preference elicitation techniques, Fuzzy Sets Syst., 78, 155-181 (1996) · Zbl 0869.90083
[15] Saaty, T. L., The Analytic Hierarchy Process (1990), RWS Publications: RWS Publications Pittsburgh, PA · Zbl 1176.90315
[16] Stecke, K. E.; Aronson, J. E., Review of operator/machine interference models, Int. J. Prod. Res., 23, 129-151 (1985)
[17] Süer, G. A.; Bera, I. S., Optimal operator assignment and cell loading when lot-splitting is allowed, Comput. Ind. Eng., 35, 431-434 (1998)
[18] Triantaphyllou, E.; Lin, C.-T., Development and evaluation of five fuzzy multiattribute decision-making methods, Int. J. Approximate Reasoning, 14, 281-310 (1996) · Zbl 0956.68535
[19] Vembu, S.; Srinivasan, G., Heuristics for operator allocation and sequencing in product-line-cells with manually operated machines, Comput. Ind. Eng., 32, 265-279 (1997)
[20] Yang, T.; Fu, H.-P.; Yang, C., A simulation-based dynamic operator assignment strategy considering machine interference—a case study on integrated circuit chip moulding operations, Prod. Plan. Control, 13, 541-551 (2002)
[21] Yoon, K. P.; Hwang, C. L., Multiple Attribute Decision Making (1995), Sage Publication: Sage Publication Thousand Oaks, CA
[22] Zadeh, L. A., Fuzzy sets, Inf. Control, 8, 338-353 (1965) · Zbl 0139.24606
[23] Zadeh, L. A., Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Syst., Man, Cybern., SMC-3, 28-44 (1973) · Zbl 0273.93002
[24] Zimmermann, H.-J., Fuzzy Sets, Decision Making, An Expert Systems, International Series in Management Science/Operations Research (1987), Kluwer Academic: Kluwer Academic Dordrecht
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.