Makina sıralama problemlerinde çok amaçlı bulanık küme yaklaşımı

Bu çalışmada rasyonel bir tesis düzenlemesini gerçekleştirebilmek için bulanık küme teorisi bu mantığından yararlanılmıştır. Bu çalışmada bulanık küme yaklaşımından yararlanarak kalitatif ve kantitatif bazlı veriler, dilsel değişken ve üyelik fonksiyonlarına dönüştürülmüş, elde edilen bu değerlerden her tesis ye lokasyon için gerçek değer matrisleri elde edilmiş, daha sonra tesisler arasındaki kalitatif ve kantitatif verileri esas alan bu iki gerçek değer matrisi "yoğun ilişki, akış ve yakınlık kriterleri"nin verdiği düşünce ile, çarpılarak esas amacımızı sağlayacak "birleştirilmiş gerçek değer matrisi" elde edilmiştir. Bu matris; tesislerin işlem hacimlerine göre ağırlıklandırılarak, lokasyonel olarak ortalama talep oranları küçükten büyüğe doğru sıralanmış ve bu talep oranlarına karşılık gelen mevcut tesislerin sıralı düzenlemesi elde edilmiştir.

A multi-objective fuzzy set approach in the machine sequencing problems

In this study that logic of Fuzzy Set Theory is used to realize a rational facility layout. In addition, qualitative and quantitative based data are converted into linguistic variable and membership functions by using fuzzy set approach. From these values truth-value matrices for each facility and location is received, later on Integrated truth-value matrix, providing our real goal, is found by multiplying idea of intense relationship, flow and closeness criteria with those two truth-value matrices which takes qualitative and quantitative data between facilities as a base. This matrix is weighted according to the transaction volume of its facilities, the average demand ratios are sequenced from smaller to greater locationally and the sequenced layouts of these facilities which correspond to those demand ratios are obtained.

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  • 1. Apple, J.M., Plant layout and materials handling, John Wiley and Sons, Inc., N.Y., (1977).
  • 2. Armour, G.C., Buffa, E.S., Vollmann, T.E., “Allocating facilities with CRAFT”, Harvard Business Review, 42, 136-159, 1964.
  • 3. Buchanan, B.G., Shortliffe, E.H., Rule-based expert systems, Addison-Wesley, Reading, MA), 1984.
  • 4. Deisenroth, M.P., Apple, J.M., A computerized plant layout analysis and evaluation technique (PLANET), Technical papers, AIIE 25 Anniversary Conf. and Commission, Norcross, GA, 75-87, 1972.
  • 5. Dweiri, F., Meier, F.A., “Application of fuzzy decision-making in facilities layout planning”, I. J. of Prod. Res., 34 (11), 3207-3225, 1996.
  • 6. Erol, Y., Baykoç, Ö.F., “Proje yönetiminde stokastik teknikler”, Gazi Ü. Fen Bilimleri Enstitüsü Der., 9 (3), 461-473, 1996.
  • 7. Evans, G.W., Wilhelm, M.R., Karwowski, W., “A layout design heuristic employing the theory of fuzzy sets”, I. J. of Prod. Res., 25 (10), 1431-1450, 1987.
  • 8. Grobelny, J., “The fuzzy approach to facility layout problems”, Fuzzy Sets and Systems, 23, 175-190, 1987.
  • 9. Grobelny, J., “On one possible fuzzy approach to facility layout problems”, I. J. of Prod. Res., 25 (8), 1123-1141, 1987.
  • 10. Grobelny, J., “The linguistic pattern method for a work station layout problems”, I. J. of Prod. Res., 26, 1779-1798, 1988.
  • 11. Karwowski, W., Ewans, G.W., “Fuzzy concepts in production management research: a review”, I. J. of Prod. Res., 24 (1), 129-147, 1986.
  • 12. Kickert, W.J.M., Fuzzy theories on decision making, Martinus Nijhoff, Leiden, Holland, 1978.
  • 13. Klir, G.J.; Folger, T.A., Fuzzy sets, uncertainty, and information, Prentice-Hall, Inc.,N.J., 1988.
  • 14. Lee, R.C., Moore, J.M., “CORELAP-Computerized relationship layout planning”, J. of Indust. Eng., 18, 1994-2000., 1967.
  • 15. Mamdani, E.H., “Advances in the linguistic synthesis of fuzzy conrollers”, I. J. of Man-Mach. Studies, 8, 669-678, 1976.
  • 16. Mizumoto, M., Fukami, S., Tanaka, K., “Some methods of fuzzy reasoning”, Advences in Fuzzy Set Theory and Applications, Gupta, M.M.-Ragade, R.K.- Yager, R.R., eds.(Amsterdam: North-Holland), 117-136, 1979.
  • 17. Muther, R., Systematic layout planning, Industrial Education Ins., Boston, Massac., 1961.
  • 18. Muther, R., Systematic layout planning, Cahners Books, Boston, MA., 1973.
  • 19. Raoot, A.D., Rakshit, A., “A fuzzy approach to facilities layout planning”, I. J. of Prod. Res., 29 (4), 835-857, 1991.
  • 20. Raoot, A.D., Rakshit, A., “The linguistic pattern approach for multiple criteria facility layout problems”, I. J. of Prod. Res., 31, 203-222, 1993.
  • 21. Seehof, J.M., Evans, W.O., “Automated layout design program”, J. of Indust. Eng., 18, 690-695, 1967.
  • 22. Tompkins, J.A., Reed, R.R. Jr., “An applied model for the facilities layout problem”, I. J. of Prod. Res., 14 (5), 583-595, 1976.
  • 23. Tompkins, J.A., White, J.A., Facilities planning, John Wiley and Sons, Inc., N.Y., 1984.
  • 24. Türkbey, O., “Kavram, Tasarım ve Yaklaşım Yönünden Heuristic’lerin İncelenmesi”, Gazi Ü. Müh.Mim.Fak.Der., 8 (1), 1-17, 1993.
  • 25. Türkbey, O., “Kesikli Optimizasyon Teorisi ve Tesis Düzenleme İlişkisi”, Gazi Ü. Müh. Mim. Fak. Der., 11 (1), 43-63, 1996.
  • 26. Wilhelm, M.R., Karwowski, W., Ewans, G.W., “A fuzzy set approach to layout analysis”, I. J. of Prod. Res., 25, 1431-1450, 1987.
  • 27. Zadeh, L.A., “Fuzzy sets”, Information and Control, V. 8, pp. 338-353, 1965.
  • 28. Zadeh, L.A., “Probability measures of fuzzy events”, J. of Math. Analysis and Applications, 23, 421-427, 1968.
  • 29. Zadeh, L.A., “Outline of a new approach to the analysis of complex systems and decision processes”, IEEE Transactions on Systems, Man Cybernetics, SMC- 3, 28-44, 1973.
  • 30. Zadeh, L.A., “The concept of linguistic variable and its application to approximate reasoning-I, ”, Information Science, 8, 199-249, 1975.
  • 31. Zadeh, L.A., Fu, K.S., Tanaka, K., Shimura, M., Fuzzy sets and their applications to cognitive and decision processes, Academic Press, N.Y., 1975.
  • 32. Zadeh, L.A., Fuzzy logic, principles, applications, and perspectives, University of Oklahoma, Norman OK., 1991.
  • 33. Zhang, H.C., Huang, S.H., “A fuzzy approach to process plan selection”, I. J.of Prod. Res., 32 (6), 1265-1279, 1994.
  • 34. Zimmermann, H.J., Fuzzy set theory and its applications, (2nd ed.), Kluwer Academic Publishers, Boston, 1991.
  • 35. Zimmermann, H.J., Fuzzy sets, decision making, and expert systems, Kluwer Academic Publishers, Boston, 1993.