Scheduling arrivals to a production system in a fuzzy environment

European Journal of Operational Research

Volumn 93, Issue 1, 1996, Pages 75-87

  Stanfield, Paul M ^a   King, Russell E ^a   Joines, Jeff A ^a  

^a North Carolina State University   (United States)

Author keywords

Fuzzy sets; Scheduling theory

Indexed keywords

CONSTRAINT THEORY; FUZZY SETS; MACHINERY; OPTIMIZATION; PROBABILITY; PRODUCTION; RAW MATERIALS;

BRANCH AND BOUND TECHNIQUE; FLOW SHOP PRODUCTION SYSTEM; READY TIME;

SCHEDULING;

EID: 0030214486     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(95)00117-4     Document Type: Article

References (24)

1. Baker, K.R., Introduction to Scheduling and Sequencing, Wiley, New York, 1974.
2. Bensana, E., Bel, G., and Dubois, D., "OPAL: A multi-knowledge-based system for industrial job shop scheduling", International Journal of Production Research 26 (1988) 795-819.
3. Buckely, J., "Fuzzy PERT", in: G. Evans, W. Karwowski and R. Wilhelm (eds.), Applications of Fuzzy Set Methodologies in Industrial Engineering, Elsevier, Amsterdam, 1989 103-114.
4. Campbell, H.G., Dudek, R.A., and Smith, M.L., "A heuristic algorithm for the n-job m-machine sequencing problem", Management Science 16 (1970) 630-697.
5. Dishkant, H., "About membership function evaluation", Fuzzy Sets and Systems 5 (1981) 141-147.
6. Dumitru, V., and Luban, F., "Membership functions, some mathematical programming models and production scheduling", Fuzzy Sets and Systems 8 (1982) 19-33.
7. Han, S., Ishii, H., and Fujii, S., "One machine scheduling problem with fuzzy due dates", European Journal of Operational Research 79 (1994) 1-12.
8. Hodgson, T.J., King, R.E., and Stanfield, P.M., "Ready time scheduling with stochastic service times", NCSU-IE Technical Report 92-5, Industrial Engineering Department, N.C. State University, Raleigh, NC, 1992.
9. Ignall, E.J., and Schrage, L.E., "Applications of the branch and bound technique to some flow shop scheduling problems", Operations Research 13 (1965) 400-412.
10. Ishii, H., Tada, M., and Masuda, T., "Two scheduling problems with fuzzy due dates", Fuzzy Sets and Systems 46 (1992) 339-347.
11. Johnson, S.M., "Optimal two and three stage production schedules with setup times included". Naval Research Logistics Quarterly 1 (1954) 61-68.
12. Lai, Y.J., and Hwang, C.L., Fuzzy Mathematical Programming, Lecture Notes in Economics and Mathematical Systems No. 394, Springer-Verlag, Berlin, 1992.
13. McCahon, C.S., and Lee, E.S., "Job sequencing with fuzzy processing times", Computers & Mathematics with Applications 19 (1990) 31-41.
14. McCahon, C.S., and Lee, E.S., "Project network analysis with fuzzy activity time", Computers & Mathematics with Applications 15 (1988) 829-838.
15. McCahon, C.S., and Lee, E.S., "Fuzzy job sequencing for a flow shop", European Journal of Operational Research 52 (1992) 294-301.
16. Nasution, S., "Fuzzy durations in critical path method", in: Proceedings Second IEEE Conference on Fuzzy Systems, 1993, 1069-1073.
17. Prade, H., "Using fuzzy set theory in a scheduling problem: A case study", Fuzzy Sets and Systems 2 (1979) 153-165.
18. Stanfield, P.M., and Joines, J.A., "Formulation and solution of a fuzzy scheduling problem", NCSU-IE Technical Report 93-17, Industrial Engineering Department, N.C. State University, Raleigh, NC, 1993.
19. Tsumjimura, Y., Chang, S., and Gen, M., "An effective method for large scale project planning with multiple fuzzy activity times", in: Proceedings Second IEEE Conference on Fuzzy Systems, 1993 1009-1015.
20. Turksen, I.B., Ulguray, D., and Wang, Q., "Hierarchial scheduling based on approximate reasoning - A comparison with ISIS", Fuzzy Sets and Systems 46 (1992) 349-371.
21. Vallippan, S., and Pham, T.D., "Constructing the membership function of a fuzzy set with objective and subjective information", Microcomputers in Civil Engineering 8 (1993) 75-82.
22. Yager, R.R., "A foundation for a theory of possibility", Journal of Cybernetics 10 (1980) 177-204.
23. Zadeh, L., "Fuzzy sets as a basis for the theory of possibility", Fuzzy Sets and Systems 1 (1978) 3-28.
24. Zimmerman, H.J., Fuzzy Set Theory and its Applications, Kluwer Academic Publishers, Boston, MA, 1991.