Fuzzy extensions to Integer Programming models of cell-formation problems in machine scheduling

Annals of Operations Research

Volumn 166, Issue 1, 2009, Pages 163-181

  Papaioannou, G ^a   Wilson, J M ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Cellular manufacturing system; Fuzzy models; Integer programming; Machine operation sequence; Uncertainty

Indexed keywords

EID: 58149517650     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-008-0423-1     Document Type: Article

References (32)

1. D. Ben-Arieh E. Triantaphyllou 1992 Quantifying data for group technology with weighted fuzzy features International Journal of Production Research 30 1285 1299
2. C. H. Chu J. C. Hayya 1991 A fuzzy clustering approach to manufacturing cell formation International Journal of Production Research 29 1457 1487
3. L. R. Foulds A. P. French J. M. Wilson 2006 The sustainable cell formation problem: manufacturing cell creation with machine modification costs Computers & Operations Research 33 1010 1032
4. B. Gill R. Bector 1997 A fuzzy linguistic approach to data quantification and construction of distance measures for the part family formation problem International Journal of Production Research 35 2565 2578
5. M. H. Kim J. H. Lee Y. J. Lee 1993 Analysis of fuzzy operators for high quality retrieval Information Processing Letters 46 252 256
6. A. Kusiak 1987 The generalized group technology concept International Journal of Production Research 25 561 569
7. A. Kusiak S. S. Heragu 1987 Group technology Computers in Industry 9 83 91
8. Lai, Y.-J., & Hwang, C.-L. (1992). Fuzzy mathematical programming-methods and applications. Berlin: Springer.
9. Y.-J. Lai C.-L. Hwang 1992 Interactive fuzzy linear programming Fuzzy Sets and Systems 45 169 183
10. M. K. Luhandjula 1982 Compensatory operators in fuzzy linear programming with multiple objectives Fuzzy Sets and Systems 8 245 252
11. K. M. Mjelde 1986 Fuzzy resource allocation Fuzzy Sets and Systems 19 239 250
12. G. F. Purcheck 1975 Programming method for combinatorial group of an incomplete power set Journal of Cybernetics 5 51 76
13. K. S. Ravichandran K. C. S. Rao 2001 A new approach to fuzzy part-family formation in cellular manufacturing systems International Journal of Advanced Manufacturing Technology 18 591 597
14. S. Sankaran 1990 Multiple objective decision making approach to cell formation - A goal programming model International Journal of Production Research 13 71 81
15. M. S. Selim R. G. Askin A. J. Vakharia 1998 Cell formation in group technology: review evaluation and directions for future research Computers and Industrial Engineering 34 3 20
16. N. Singh 1993 Design of cellular manufacturing systems: an invited review European Journal of Operational Research 69 284 291
17. C. C. Tsai C. H. Chu T. A. Barta 1997 Modelling and analysis of a manufacturing cell formation problem with fuzzy mixed-integer programming IIE Transactions 29 533 547
18. J. Wang 1998 A linear assignment algorithm for formation of machine cells and part families in cellular manufacturing Computers and Industrial Engineering 35 81 84
19. J. C. Wei N. Gaither 1990 An optimal model for cell formation decisions Decision Sciences 21 416 433
20. U. Wemmerlov N. L. Hyer 1986 Procedures for the part/machine group identification problem in cellular manufacturing Journal of Operations Management 6 125 147
21. U. Wemmerlov N. L. Hyer 1989 Cell manufacturing in the US industry: a survey of users International Journal of Production Research 27 1511 1530
22. B. M. Werners 1987 An interactive fuzzy programming system Fuzzy Sets and Systems 23 131 147
23. Werners, B. M. (1988). (1988). Aggregation models in mathematical programming. In G. Mitra & H. J. Greenberg (Eds.), Mathematical models for decision support (pp. 295-305). Berlin: Springer.
24. G. Wiedey H. J. Zimmermann 1978 Media selection and fuzzy linear programming Journal of the Operational Research Society 31 342 349
25. H. Xu H. P. Wang 1989 Part family formation for GT applications based on fuzzy mathematics International Journal of Production Research 9 1637 1651
26. T. Yang J. P. Ignizio 1991 Fuzzy programming with nonlinear membership functions: Piecewise linear approximation Fuzzy Sets and Systems 41 39 53
27. C. Zhang H. P. Wang 1992 Concurrent formation of part families and machine cells based on the fuzzy set theory Journal of Manufacturing Systems 11 61 67
28. Z. Zhu R. B. Heady S. Reiners 1995 An efficient zero-one formulation of the cell formation problem Computers and Industrial Engineering 28 911 916
29. H. J. Zimmermann 1978 Fuzzy programming and linear programming with several objective functions Fuzzy Sets and Systems 1 45 55
30. H. J. Zimmermann 1983 Fuzzy mathematical programming Computers and Operations Research 10 291 298
31. H. J. Zimmermann P. Zysno 1983 Decisions and evaluations by hierarchical aggregation of information Fuzzy Sets and Systems 10 243 266
32. Zimmermann, H. J. (1991). Fuzzy set theory and its applications. Boston: Kluwer.