Modeling fuzzy multi-period production planning and sourcing problem with credibility service levels

Journal of Computational and Applied Mathematics

Volumn 231, Issue 1, 2009, Pages 208-221

  Lan, Yan Fei ^a   Liu, Yan Kui ^a   Sun, Gao Ji ^a  

^a HEBEI UNIVERSITY   (China)

Author keywords

Approximation approach; Credibility service level; Fuzzy programming; Particle swarm optimization; Production planning

Indexed keywords

APPROXIMATION APPROACH; CONVENTIONAL OPTIMIZATION; CREDIBILITY SERVICE LEVEL; EXPECTED COSTS; EXPECTED VALUES; FUZZY PROGRAMMING; FUZZY VARIABLE; HYBRID PSO; INVENTORY HOLDING; MULTI-PERIOD; NEW CLASS; NUMERICAL EXAMPLE; OBJECTIVE FUNCTIONS; PLANNING HORIZONS; POSSIBILITY DISTRIBUTIONS; PRODUCT DEMAND; PRODUCTION COST; PRODUCTION PLANNING; PSO ALGORITHMS; SERVICE LEVELS; SINGLE PERIOD; STOCHASTIC DEMAND;

COSTS; FUZZY SYSTEMS; PARTICLE SWARM OPTIMIZATION (PSO); PLANNING; PRODUCTION CONTROL; PRODUCTION ENGINEERING; PROJECT MANAGEMENT;

APPROXIMATION ALGORITHMS;

EID: 67349124827     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.02.009     Document Type: Article

References (30)

1. Galbraith J. Designing Complex Organizations (1973), Addison-Wesley, Reading, MA
2. Ho C. Evaluating the impact of operating environments on MRP system nervousness. International Journal of Production Research 27 (1989) 1115-1135
3. Whybark D.C., and Williams J.G. Material requirements planning under uncertainty. Decision Science 7 (1976) 595-606
4. Bũchel A. Stochastic material requirements planning for optional parts. International Journal of Production Research 21 (1983) 511-527
5. Gfrerer H., and Zäpfel G. Hierarchical model for production planning in the case of uncertain demand. European Journal of Operational Research 86 (1995) 142-161
6. Kira D., Kusy M., and Rakita I. A stochastic linear programming approach to hierarchical production planning. Journal of the OR Society 48 (1997) 207-211
7. Wang R.C., and Fang H.H. Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research 133 (2001) 521-536
8. Thompson S.D., and Davis W.J. An integrated approach for modeling uncertainty in aggregate production planning. IEEE Transactions on Systems, Man and Cybernetics 20 (1990) 1000-1012
9. Gen M., Tsujimura Y., and Ida K. Method for solving multi objective aggregate production planning problem with fuzzy parameters. Computers & Industrial Engineering 23 (1992) 117-120
10. Petrovic D., Roy R., and Petrovic R. Supply chain modelling using fuzzy sets. International Journal of Production Economics 59 (1999) 443-453
11. Gupta A., and Maranas C.D. Managing demand uncertainty in supply chain planning. Computers & Chemical Engineering 27 (2003) 1216-1227
12. Bitran G.R., and Yanasee H.H. Deterministic approximations to stochastic production problems. Operations Research 32 (1984) 999-1018
13. Leung S.C.H., Tsang S.O.S., Ng W.L., and Wu Y. A robust optimization model for multi-site production planning problem in an uncertain environment. European Journal of Operational Research 181 (2007) 224-238
14. Zäpfel G. Production planning in the case of uncertain individual demand Extension for an MRP II concept. International Journal of Production Economics 119 (1996) 153-164
15. Yildrim I., Tan B., and Karaesmen F. A multiperiod fuzzy production planning and sourcing problem with service level constraints. OR Spectrum 27 (2005) 471-489
16. Kelly P., Clendenen G., and Dardeau P. Economic lot scheduling heuristic for random demand. International Journal of Production Economics 35 (1994) 337-342
17. Zadeh L.A. Fuzzy sets. Information and Control 8 (1965) 338-353
18. Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28
19. Dubois D., and Prade H. Possibility Theory (1988), Plenum Press, New York
20. Nahmias S. Fuzzy variables. Fuzzy Sets and Systems 1 (1978) 97-110
21. Tanaka H., Guo P., and Zimmermann H.J. Possibility distribution of fuzzy decision variables obtained from possibilistic linear programming problems. Fuzzy Sets and Systems 113 (2000) 323-332
22. Shih L.H. Cement transportation planning via fuzzy linear programming. International Journal of Production Economics 58 (1999) 277-287
23. Liu B., and Liu Y.K. Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems 10 (2002) 445-450
24. Liu B. Uncertain Theory: An Introduction to its Axiomatic Foundations (2004), Springer-Verlag, Berlin
25. Liu B. A survey of credibility theory. Fuzzy Optimization and Decision 5 (2006) 387-408
26. Liu Y.K. Convergent results about the use of fuzzy simulation in fuzzy optimization problems. IEEE Transactions on Fuzzy Systems 14 (2006) 295-304
27. J. Kennedy, R.C. Eberhart, Particle swarm optimization, in: Proceedings of IEEE International Conference on Neural Networks, Piscataway, NJ, 1995, pp. 1942-1948
28. Kennedy J., Eberhart R.C., and Shi Y. Swarm Intelligence (2001), Morgan Kaufmann Publishers, San Francisco, CA
29. Liu Y.K., and Gao J.W. The independence of fuzzy variables with applications to fuzzy random optimization. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15 (2007) 1-20
30. Dong Y., Tang J., Xu B., and Wang D. An application of swarm optimization to nonlinear programming. Computers & Mathematics with Applications 49 (2005) 1655-1666