Çok Ürünlü Üretim Planlama Problemlerini Çözmek İçin MINMAX Yaklaşımına Dayanan Bir Bulanık Hedef Programlama Modeli: Mobilya İmalat Fabrikasında Örnek Bir Çalışma

Öz

Bu çalışmada, bulanık hedef programlama (BHP) kullanarak mobilya üreten bir firma için bir üretim planı önerisi getirilmekte ve karar vericinin miktar ve kar amacına ulaşılması hedeflenmektedir. Bu hedefler kesin olarak belirlenemediği için bulanık sayılarla ifade edilmiştir. Önerilen modelde, her bölümdeki işçi sayısı yeniden düzenlenmiştir. Önerilen modelin kullanılması durumunda, şirketin önceki dönemde olduğundan%8 daha az işçi kullanarak faaliyetlerine devam edebileceği ve üretim bölümlerinin daha verimli çalışacağı öne sürülmüştür.

Anahtar Kelimeler

• Bulanık hedef programlama,Üretim planlama,Mobilya

A Fuzzy Goal Programming Model Based on MINIMAX Approach for Solving Multi Product Production-Planning Problems

Abstract

In this study, a production plan proposal is made for a company that produces furniture using fuzzy goal programming (FGP) and aim to reach Produce amount and profit goal of the decision maker. These goals were determined to be fuzzy because they cannot be determined precisely. In the proposed model, the number of workers in each section has been rearranged. In the case of using the proposed model, it was suggested that the company could continue its activities by using 8% less workers than in the previous period and the production departments would work more efficiently.

Keywords

• Fuzzy goal programming,Production planning,Furniture

References

1. Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment. Management science, 17(4), B-141.
2. Bhargava, A. K., Singh, S. R., & Bansal, D. (2015). Fuzzy Goal Programming techniques for production planning in industry. International Journal of Computer Applications Technology and Research, 4(2), 92-6.
3. Charnes, A., & Cooper, W. W. (1961). Management models and industrial applications of linear programming (No. 339.23 C4).
4. Chen, L. H., & Tsai, F. C. (2001). Fuzzy goal programming with different importance and priorities. European Journal of Operational Research, 133(3), 548-556.
5. Chen, L. H., Ko, W. C., & Yeh, F. T. (2017). Approach based on fuzzy goal programing and quality function deployment for new product planning. European Journal of Operational Research, 259(2), 654-663.
6. da Silva, A. F., & Marins, F. A. S. (2014). A Fuzzy Goal Programming model for solving aggregate production-planning problems under uncertainty: A case study in a Brazilian sugar mill. Energy Economics, 45, 196-204.
7. Fung, R. Y., Tang, J., & Wang, D. (2003). Multiproduct aggregate production planning with fuzzy demands and fuzzy capacities. IEEE Transactions on systems, man, and cybernetics-Part A: Systems and humans, 33(3), 302-313.
8. Flavell, R. B. (1976). A new goal programming formulation. Omega, 4(6), 731-732.

9. Gansterer, M. (2015). Aggregate planning and forecasting in make-to-order production systems. International Journal of Production Economics, 170, 521-528.
10. Hintz, G. W., & Zimmermann, H. J. (1989). A method to control flexible manufacturing systems. European Journal of Operational Research, 41(3), 321-334.
11. Jain, A., & Palekar, U. S. (2005). Aggregate production planning for a continuous reconfigurable manufacturing process. Computers & operations research, 32(5), 1213-1236.
12. Jamalnia, A., & Soukhakian, M. A. (2009). A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning. Computers & Industrial Engineering, 56(4), 1474-1486.
13. Khalili-Damghani, K., & Shahrokh, A. (2014). Solving a new multi-period multi-objective multi-product aggregate production planning problem using fuzzy goal programming. Industrial Engineering & Management Systems, 13(4), 369-382.
14. Kogan, K., & Khmelnitsky, E. (1995). An optimal control method for aggregate production planning in large-scale manufacturing systems with capacity expansion and deterioration. Computers & industrial engineering, 28(4), 851-859.
15. Madadi, N., & Wong, K. Y. (2014). A multiobjective fuzzy aggregate production planning model considering real capacity and quality of products. Mathematical Problems in Engineering, 2014.
16. Mosadegh, H., Khakbazan, E., Salmasnia, A., & Mokhtari, H. (2017). A fuzzy multi-objective goal programming model for solving an aggregate production planning problem with uncertainty. International Journal of Information and Decision Sciences, 9(2), 97-115.
17. Mosadegh, H., Khakbazan, E., Salmasnia, A., & Mokhtari, H. (2017). A fuzzy multi-objective goal programming model for solving an aggregate production planning problem with uncertainty. International Journal of Information and Decision Sciences, 9(2), 97-115.
18. Narasimhan, R. (1980). Goal programming in a fuzzy environment. Decision sciences, 11(2), 325-336.
19. Özcan, U., & Toklu, B. (2009). Multiple-criteria decision-making in two-sided assembly line balancing: A goal programming and a fuzzy goal programming models. Computers & Operations Research, 36(6), 1955-1965.
20. Sipper, D., Bulfin, R. L., González Osuna, M., & Hernández García, S. (1998). Production: planning, control, and integration.
21. Stevenson, W. J., & van Ness, P. (1999). Study guide for use with Production/operations management. Irwin McGraw-Hill.
22. Wang, R. C., & Fang, H. H. (2001). Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research, 133(3), 521-536.
23. Wang, R. C., & Liang, T. F. (2004). Application of fuzzy multi-objective linear programming to aggregate production planning. Computers & Industrial Engineering, 46(1), 17-41.
24. Yaghoobi, M. A., & Tamiz, M. (2007). A method for solving fuzzy goal programming problems based on MINMAX approach. European Journal of Operational Research, 177(3), 1580-1590.
25. Yang, T., Ignizio, J. P., & Kim, H. J. (1991). Fuzzy programming with nonlinear membership functions: piecewise linear approximation. Fuzzy sets and systems, 41(1), 39-53.
26. Yucesan M. & Zengin H. (2016). Bir İşletmede Hedef Programlama İle Üretim Planlaması Uygulaması”, Internatıonal Refereed Journal Of Researches On Economy Management, 9, 25-42.
27. Yucesan M. (2016). Bütünleşik üretim planlaması uygulaması: mobilya sektörü Örneği, Unpublished Doctoral Thesis, Karadeniz Teknik Üniversitesi Sosyal Bilimler Enstitüsü, Trabzon.
28. Zadeh, L.A., 1965. Fuzzy sets. Inf. Control. 8, 338–353. Zhu, B., Hui, J., Zhang, F., & He, L. (2018). An Interval Programming Approach for Multi-period and Multi-product Aggregate Production Planning by Considering the Decision Maker’s Preference. International Journal of Fuzzy Systems, 20(3), 1015-1026.
29. Zimmermann, H. J. (1975). Description and optimization of fuzzy systems. International Journal of General System, 2(1), 209-215.